62
Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study includes details flow turbulence in air-conditioned spaces with the determination of the boundary conditions depending on the Iraqi Code of cooling is done in this research. Two kinds of two-dimensional and three- dimensional ventilation problems have been considered: (a) isothermal ventilation in simple rooms. (b) non-isothermal ventilation with coupled heat or mass transfer. The investigation has studied the flow and thermal conditions for four different diffusers (displacement, grille, slot, and square diffusers). The dimensions of the of the physical model are (5.16×3.65 m) with (2.43 m high). The supply condition for four diffusers are (displacement (0.0768 kg/s), grille (0.0768 kg/s), slot (0.1410 kg/s), square (0.750 kg/s)) and temperature at supply for all types is (15.0 o C), the return considered as the type of diffusers has been imposed zero flow pressure and temperature at (24.0 o C). A modified version of a three-dimensional computer program (fluent 6.3.26) A THEORETICAL STUDY OF A COLD AIR DISTRIBTION SYSTEM WITH DIFFERENT SUPPLY PATTERNS

Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

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Page 1: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Republic of IraqMinistry of Higher Education

& Scientific Research University of Technology

By: Hyder Mohammed Abdul Hussein

ABSTRACTA theoretical study includes details flow turbulence in air-conditioned spaces with the determination of the

boundary conditions depending on the Iraqi Code of cooling is done in this research. Two kinds of two-dimensional and three-dimensional ventilation problems have been considered:

(a) isothermal ventilation in simple rooms.(b) non-isothermal ventilation with coupled heat or mass transfer.The investigation has studied the flow and thermal conditions for four different diffusers (displacement,

grille, slot, and square diffusers). The dimensions of the of the physical model are (5.16×3.65 m) with (2.43 m high). The supply condition for four diffusers are (displacement (0.0768 kg/s), grille (0.0768 kg/s), slot (0.1410 kg/s), square (0.750 kg/s)) and temperature at supply for all types is (15.0oC), the return considered as the type of diffusers has been imposed zero flow pressure and temperature at (24.0oC).

A modified version of a three-dimensional computer program (fluent 6.3.26) by using finite-volume method was used to simulate the complex flow with buoyant inside the model room. They have been investigated numerically by using several turbulence models and the method solution by using k-ε and k-ω models.

A THEORETICAL STUDY OF A COLD AIR DISTRIBTIONSYSTEM WITH DIFFERENT SUPPLY PATTERNS

Page 2: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

CHAPTER ONEINTRODUCTION

The Meaning of Air Conditioning:Full air conditioning implies the automatic control of an

atmospheric environment either for the comfort of human beings or animals or for the proper performance of some industrial or scientific process. The adjective 'full' demands that the purity, movement, temperature and relative humidity of the air be controlled, within the limits imposed by the design specification.

Ventilation Process:• Natural inlet and outlet

• Natural inlet and mechanical outlet

• Mechanical inlet and natural outlet

• Mechanical inlet and outlet

Page 3: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Local exhaust ventilation (LEV)Piston ventilation (Unidirectional)

Mixing ventilation (Dilution) Displacement ventilation

Types of Ventilation1

INTRODUCTION

Page 4: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Thermal and Environment ComfortThe environmental factors that affect a

person’s thermal balance and therefore

influence thermal comfort are:

•The dry bulb temperature of the

surrounding air.

•The humidity of the surrounding air.

•The relative velocity of the surrounding

air.

•The temperature of any surfaces that can

directly view any part of the body and

thus exchange radiation.

• The relative humidity not exceed 60%.

ASHRAE Standard 55-2004.

• The comfort zones of Figure 5 are for air

speeds not to exceed 0.2 m/s.

INTRODUCTION1

Page 5: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Basic Flow Patterns

Occupant comfort is maintained not directly by motion of air from the outlets, but from secondary air motion that results from mixing in the unoccupied zone. Comfort is maximized when uniform temperature distribution and room air velocities of less than 0.25 m/s are maintained in the occupied zone.

Group A: Outlets mounted in or near the ceiling that discharge air horizontally.

Group B: Outlets mounted in or near the floor that discharge air vertically in a nonspreading jet.

INTRODUCTION1

Page 6: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Group C: Outlets mounted in or

near the floor that discharge air

vertically in a spreading jet.

Group D: Outlets mounted in or

near the floor that discharge air

horizontally.

Group E: Outlets mounted in or

near the ceiling that project

primary air vertically.

INTRODUCTION1

Page 7: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Types of predictions and CFD preference

Designing ventilation systems for buildings require a suitable tool to assess

the system performance. Seven types of models assessed (analytical,

empirical, small-scale experimental, full-scale experimental, multizone

network, zonal, and CFD) for predicting ventilation performance in

buildings, which can be different in details according to the model types.

The CFD models provided the most detailed information about the

performance of ventilation systems in a zone, and were the most accurate of

the numerical models, but they are sophisticated and require very

dedicated training of a user.

INTRODUCTION1

Page 8: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Objectives of the Present Work

1. To carry out computational fluid dynamics (CFD) analysis for

room air distribution at the design flow rate of the diffuser

and validate it with experimental data.

2. To simulate indoor air flow.

3. The investigate the possibility of using the Different Supply

Patterns as an air distribution system in an office building.

4. To study the effects of changing the locations of inlets and

outlets on the flow patterns.

INTRODUCTION1

Page 9: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

CHAPTER TWOLITERATURE REVIEW

This chapter presents brief description of the published literature and recorded experimental results in the field of room parameters.

This review is subdivided into three main topics Experimental Works, Numerical Simulations and Experimental and Numerical Studies.

1. Experimental work

Small-scale

• Barber et. al. (1972) Room - higher temperature of water

•Van Hoooff et. al. (2012)Partical Image Velocimetry – PIVWater-filled

Full-scale • Zhang et. al. (1992) / room / diffuser

jet region• Wang et. al. (2006) / air craft cabin with 35 mannequins / Volumetric

Partical Tracking Velocimetry• Nielsen (2007) / Alborg University,

Denmark / five types of diffuser• Rees et.al. (2012) / test chamber

used displacement diffuser• Pang et.al. (2013) / Air craft cabin Flow Visualization with Green Laser

(FVGL)

Page 10: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Numerical Simulation

• Y. Kondo et. al. (1998) / 3-D / Turbulent

• S.L. Sinha et. al. (1999) / 2-D / Laminar

• P. Charvat et. al. (2001) / 2-D / Turbulent & Laminar

• F. Song et. al. (2006) / 3-D / Turbulent

• L. Zhu et. al. (2006) / 3-D / Turbulent

• H.J. Steeman et. al. (2009) / 3-D / Turbulent

• W. Cai et. al. (2010) / 3-D / Turbulent

• M. Cehlin et. al (2010) / 3-D / Turbulent

• S. H. Ho et. al. (2011) / 2-D / Laminar

• S. A. Al-Sanea et. al. (2012) / 2-D / Turbulent

• T. Zhang (2012) / 3-D / Turbulent

LITERATURE REVIEW2

Page 11: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Expermental and Numerical Studies

• Y. Huo (1997) / 3-D / Full-Scale / Turbulent / Canada

• M. Bartak et. al. (2001) / 3-D / Full-Scale / Turbulent / Denmark

• J. Srebric et. al. (2002) / 3-D / Full-Scale / Turbulent / USA

• J.D. Posner et. al. (2003) / 3-D / Small-Scale / Turbulent / USA

• J. J. A. A. Akoua et. al. (2006) / 3-D / Full-Scale / Turbulent / France

• Y. Mei et. al. (2009) / 3-D / Full-Scale / Turbulent / China

• K. Lee et. al. (2009) / 3-D / Full-Scale / Turbulent / USA - China

• Q.Chan et. al (2010) / 3-D / Seven Types models / Turbulent / USA - China

• G. Reynders et. al. (2011) / 3-D / Full-Scale / Turbulent / netherland

LITERATURE REVIEW2

Page 12: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Scope of the Present Work

From the above review where the theoretical and experimental

studies are stated in the previous sections, the scope of the

present work will be:

1. Modeling of air diffusers to the types (displacement , slot,

square, and grille).

2. Analyzing the effect of actual heat load inside the space, such

as human, computer and wall temperature.

3. Comparing the prediction results of physical model to air

velocity and temperature with other experimental ones

previous work.

4. Obtaining the results based on the standard conditions under

the Iraqi Code of cooling.

LITERATURE REVIEW2

Page 13: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

The Standard k-ε Model

The two-equation k- turbulence model was first developed by Launder and ε

Spalding (1974), which remains as the most widely used turbulence model for a

range of engineering flows and is often referred to as the standard k- model.ε

For incompressible flows, the model has the following form: [5]

(3.34)

(3.35)

CHAPTER THREETHEORETICAL FORMULATION

Page 14: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

The RNG k-ε Model

The Re-Normalization Group (RNG ) k- model is very similar in form to the ε

standard k- model. For incompressible flows, the transport equations for k and ε

are as follows, [7]:ε

(3.42)

(3.43)

THEORETICAL FORMULATION 3

Page 15: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

The Realizable k-ε Model

The modeled transport equations for k and in the realizable (k, ) model areε ε

(3.51)

(3.52)

The k-ω ModelThe shear-stress transport (SST) k- model was developed by Menter to ω

effectively blend the robust and accurate formulation of the k- model in the ω

near-wall region with the free-stream independence of the k- model in the far ε

field.

(3.51)

(3.52)

THEORETICAL FORMULATION 3

Page 16: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Assumptions for 2D and 3D Models

The following assumptions are used to simplify the proposed model solution:

1- Steady state flow.

2- Incompressible flow of air.

3- Multicomponent fluid, which includes dry air with buoyancy force.

4- The fluid properties are considered as constants except the varying density for

buoyancy term in the momentum equation.

5- Thermal conductivity is scalar.

6- No chemical reaction.

7- Turbulent flow.

THEORETICAL FORMULATION 3

Page 17: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

Validation study of 2D Isothermal Ceiling Jet First Case :

Validation with EXACT3 code for two-dimensional Isothermal case.

Boundary condition

Meshes grid (20 40).ˣ

Dimensions (5.9436 m 2.857 m).ˣ

Inlet velocity Uo=0.0 m/s, Vo= 1.0 m/s

ko, εo as defined in equations:Ko = 1.5 (0.04 × Vo) 2 (4.1)

εo = ko1.5 / lo (4.2)

Outlet:

Uo=0.0 m/s, Vo= -1.0 m/s

Second case:

the direction of the supply air was not perpendicular to the ceiling but at an

angle of 60 degrees.

CHAPTER FOURVALIDATION STUDY FOR 3D AND 2D VENTILATION

Page 18: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

0 0.2 0.4 0.6 0.8 10

0.5

1

1.5

2

2.5

3

EXACT3 code

k-ε

Air velocity m/s

Dist

ance

to ce

iling

m

Fig. (4.1) Dimension and Layout of the Room, [32].

Figure (4.2) Air Velocity in a Vertical Line (Supply Position)

0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.180

0.5

1

1.5

2

2.5

3

EXACT3 codeCFD_Fluent

Air velocity m/s

Dist

ance

to ce

iling

m

0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.40

0.5

1

1.5

2

2.5

3

EXACT3 codek-ε

Air velocity m/s

Dist

ance

to th

e ce

iling

m

Figure (4.4) Air Velocity in a Vertical Line (Return Position)

Figure (4.3) Air Velocity in a Vertical Line (0.75 m from the Supply)

Page 19: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Fig. (4.1) Dimension and Layout of the Room, [32]. Figure (4.5) Air velocity profile,

a- conventional method

b- k-ε (SWF)

Page 20: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Validation study of IEA Annex 20

Experimental data obtained from a scale model room using laser-

Doppler anemometry (LDA), validity by standard k-ε, RNG k-ε, and

Realizable k-ε.

Boundary conditions:

Meshes grid (50ˣ28).

Dimensions (9.0 mˣ3.0 m).

Inlet velocity Uo=0.455 m/s, Vo= 0.0 m/s

ko, εo as defined in equations (4.1) and (4.2).

Outlet dp/dx=0

Results:

comparisons with experimental data of the prediction results using

standard k-ε model and three different near-wall treatments (standard wall-

function (SWF), non-equilibrium wall function (NEWF) and enhanced wall

treatment (EWF).

It can be seen that the predictions from the standard k-ε model and the

RNG k-ε have a very little deviation, the Realizable k-ε predicts better the

jet flow at X=6m.

Page 21: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Fig. (4.6) The IEA Annex 20 project, a simple 2D test case Fig. (4.7) A comparison between

predicted results with experimental data using standard k-ε model at X=3

m

Fig. (4.9) A comparison between predicted results using different k-ε models with experimental data, a- X=3m, b- X=6m

Fig. (4.8) A comparison between predicted results with experimental

data using standard k-ε model at X=6 m

-0.2 0 0.2 0.4 0.6 0.8 10

0.5

1

1.5

2

2.5

3

EXP

EWF

SWF

NEWF

U/Uo

Roo

m H

ight

m X=3 m

-0.4 -0.2 0 0.2 0.4 0.6 0.8 10

0.5

1

1.5

2

2.5

3

EXP

EWF

SWF

NEWF

U/Uo

Room

Hig

ht m

X=6 m

-0.4 -0.2 0 0.2 0.4 0.6 0.8 10

0.5

1

1.5

2

2.5

3

EXPstandardRNGRealizabe

X=3 m

-0.4 -0.2 0 0.2 0.4 0.6 0.8 10

0.5

1

1.5

2

2.5

3

EXPStandardRealizableRNG

X= 6 m

X=3 m X=6 m

Page 22: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

3D Ventilation Flows with Heat and Mass Transfer

Three typical ventilation flow cases are considered (displacement,

slot ceiling, and square ceiling) ventilation in summer cooling condition.

The three test cases are taken from a recent report ASHRAE RP-1009,

[13].Displacement ventilationThe inlet diffuser is located near the west wall, and the exhaust

opening is at the center of the ceiling

the objects (human, computers, tables, lamps and cabinets) are

simulated.

Boundary conditions:

Supply diffuser: mass flow rate of 0.0768 kg/s , turbulence intensity of

4% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using

equations,

ko = 1.5 (0.04 × Vo) 2 (4.1)

(4.3)

Return: The outlet is specified as pressure outlet.

Page 23: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

The average of the measured temperatures at the walls is used to specify the

thermal condition for the walls:• Ceiling: 295 K (22°C)• Floor: 292 K (19°C)• West wall: 294 K (21°C)• East Wall: 296 K (23°C)• South and North walls: 294 K (21°C)• Table 1: 293 K (20°C)• Table 2: 294 K (21°C)

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω models

Computation meshes: (1,480,232) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is

used. The SIMPLEC scheme is used for the pressure-velocity coupling.

Page 24: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

E

W

N

S

Fig. (4.10) Configuration of the displacement ventilation test case

Fig. (4.11) The positions of the measuring poles for the

displacement ventilation test case [13]

Page 25: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

0 0.4 0.8 1.20

0.2

0.4

0.6

0.8

1

EXP_p3

k-e

k-w

U

Z

0 0.2 0.4 0.6 0.8 10

0.2

0.4

0.6

0.8

1

EXP_p1

k-e

k-w

U

Z

0

0.2

0.4

0.6

0.8

1

EXP_p2

k-e

k-w

U

Z

0

0.2

0.4

0.6

0.8

1

EXP_p4

k-e

k-w

U

Z

0 0.2 0.4 0.6 0.8 10

0.2

0.4

0.6

0.8

1

EXP_p5

k-e

k-w

U

Z

Fig. (4.12) Prediction of the air velocity with Realizable k-ε model and Enhancement Wall Treatment and SST k-ω, (Z=height/total room height (H), U=velocity/supply velocity (U0),

H=2.43m, U0=0.35m/s).

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p1

k-e

k-w

θ

Z

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p2k-ek-w

θ

Z

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p3

k-e

k-w

θ

Z

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p4

k-e

k-w

θ

z

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p5

k-e

k-w

θ

z

Fig. (4.13) Prediction of the air temperature with Realizable k-ε model and Enhancement Wall Treatment and SST k-ω, (Z=height/total room height (H), q=(T-Tin/Tout-Tin), H=2.43m, Tin=13.0ºC,

Tout=22.2ºC).

Page 26: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Ceiling slot ventilation

The slot diffuser has three 1.143 m x 0.019 m openings and the inflow

passes through the two openings to enter the test room, the objects

(human, computers, tables, lamps and cabinets) are simulated.

Boundary conditions:

Supply diffuser: mass flow rate of 0.138 kg/s , the inlet flow from the slot

diffuser turned 45° downwards toward the west wall over an area of (1.15

mˣ0.1 m), and turbulence intensity of 5% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using

equations (4.1) and (4.3).

Return: The outlet is specified as pressure outlet.

Page 27: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

The average of the measured temperatures at the walls is used to specify the

thermal condition for the walls:• Ceiling: 295 K (22°C)• Floor: 292 K (19°C)• West wall: 294 K (21°C)• East Wall: 296 K (23°C)• South and North walls: 294 K (21°C)• Table 1: 293 K (20°C)• Table 2: 294 K (21°C)

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω models

Computation meshes: (1,071,118) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is

used. The SIMPLEC scheme is used for the pressure-velocity coupling.

Ceiling slot ventilation

Page 28: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

Fig. (4.14) Configuration of ceiling slot ventilation test case

Fig. (4.15) The positions of the measuring poles for the ceiling slot

ventilationtest case [13]

E

W

N

S

(a) Details of the slot diffuser (b) Inflow directionFig. (4.16) Installation and details of the slot diffuser [13]

Ceiling slot ventilation:

Page 29: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

0 0.1 0.2 0.30

0.2

0.4

0.6

0.8

1

EXP_p1

k-e

k-w

U

Z

0 0.1 0.2 0.30

0.2

0.4

0.6

0.8

1

EXP_p2

k-w

k-w

U

Z

0 0.2 0.4 0.6 0.8 10

0.2

0.4

0.6

0.8

1

EXP_p3

k-e

k-w

UZ

0 0.1 0.2 0.30

0.2

0.4

0.6

0.8

1

EXP_p4

k-e

k-w

U

Z

0 0.1 0.2 0.30

0.2

0.4

0.6

0.8

1

EXP_p5

k-e

k-w

U

Z

Fig. (4.17) Prediction of the air velocity with Realizable k-ε model and Enhancement Wall Treatment and SST k-ω, (Z=height/total room height (H), U=velocity/supply velocity (U0), H=2.43m, U0=3.9m/s).

0.5 1 1.5 20

0.10.20.30.40.50.60.70.80.9

1

EXP_p5

k-e

k-w

θ

Z

1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p4

k-e

k-w

θ

Z

0 0.5 1 1.5 20

0.2

0.4

0.6

0.8

1

EXP_p3k-ek-w

θ

Z

0 0.5 1 1.5 20

0.10.20.30.40.50.60.70.80.9

1

EXP_p2

k-e

k-w

θ

Z

0.5 1 1.5 20

0.10.20.30.40.50.60.70.80.9

1

EXP_p1k-ek-w

θ

Z

Fig. (4.18) Prediction of the air temperature with Realizable k-ε model and Enhancement Wall Treatment and SST k-ω, (Z=height/total room height (H), q=(T-Tin/Tout-Tin), H=2.43m, Tin=16.3ºC, Tout=21.4ºC).

Ceiling slot ventilation:

Page 30: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Ceiling square ventilation

The inlet diffuser is installed on the ceiling, and the exhaust opening

is on the west wall and 0.02 m above the floor, the objects (human,

computers, tables, lamps and cabinets) are simulated.

Boundary conditions:

Supply diffuser: mass flow rate of 0.075 kg/s, The square diffuser has nine

0.1m x 0.1m openings and the inflow passes through the eight openings to

enter the test room. The turbulence quantities (k, ε or ω) at the inlet are

calculated using equations (4.1) and (4.3).

Return: The outlet is specified as pressure outlet.

Page 31: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

The average of the measured temperatures at the walls is used to specify the

thermal condition for the walls:• Ceiling: 295 K (22°C)• Floor: 292 K (19°C)• West wall: 294 K (21°C)• East Wall: 296 K (23°C)• South and North walls: 294 K (21°C)• Table 1: 293 K (20°C)• Table 2: 294 K (21°C)

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω models

Computation meshes: (1,751,500) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is

used. The SIMPLEC scheme is used for the pressure-velocity coupling.

Page 32: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

Fig. (4.19) Configuration of ceiling slot ventilation test case

Fig. (4.20) The positions of the measuring poles for the ceiling slot

ventilation test case [13]

Fig. (4.21) Modeling of the square diffuser

E

W

N

S

Page 33: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

VALIDATION STUDY FOR 3D AND 2D VENTILATION 4

Simulation results

Fig. (4.22) Prediction of the air velocity with Realizable k-ε and SST k-ω model compared with box and momentum, (Z=height/total room height (H), U=velocity/supply velocity (U0), H=2.43m, U0=5.2m/s).

Fig. (4.23) Prediction of the air temperature with Realizable k-ε and SST k-ω model compared with box and momentum, (Z=height/total room height (H), q=(T-Tin/Tout-Tin), H=2.43m, Tin=14.5ºC, Tout=24.1ºC).

0 0.05 0.10

0.2

0.4

0.6

0.8

1EXP_p1

box

mom

k-e

k-w

U

Z

0 0.05 0.10

0.2

0.4

0.6

0.8

1

EXP_p2

box

mom

k-e

k-w

U

Z

0 0.05 0.10

0.2

0.4

0.6

0.8

1

EXP_p3

box

mom

k-e

k-w

UZ

0 0.1 0.20

0.2

0.4

0.6

0.8

1

EXP_p4

box

mom

k-e

k-w

U

Z

0 0.1 0.20

0.2

0.4

0.6

0.8

1

EXP_p5

box

mom

k-e

k-w

U

Z

0.8 1 1.2 1.40

0.2

0.4

0.6

0.8

1

EXP_p1

k-e

k-e

θ

z

0.8 1 1.2 1.40

0.2

0.4

0.6

0.8

1

EXP_p2

k-e

k-w

θ

Z

0.6 0.8 1 1.2 1.40

0.2

0.4

0.6

0.8

1

EXP_p3

k-e

k-w

θ

Z

0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

EXP_p4

k-e

k-w

θ

Z

0.4 0.6 0.8 1 1.20

0.2

0.4

0.6

0.8

1

EXP_p5

k-e

k-w

θ

Z

Page 34: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

CHAPTER FIVERESULTS AND DISCUSSION

The Iraqi Code of Cooling limited the outdoor for Baghdad and indoor conditions are listed in Table (5.1) and Table (5.2), respectively.

Table (5.1) Outdoor data for Iraq

Region

DBT in

summer

(ºC)

RH %

in summer

The daily

(ºC)

Altitude

(m)

Latitude

N

Longitude

E

Baghdad 47 16 18.7 34.1 33.32 44.33

Table (5.2) Indoor conditions

 DBT in summer

(ºC)

RH %

in summer

Air velocity

(m/s)

Human comfort 19 - 24 40 - 60 1.8 – 2

Recommended conditions

inside the office23 - 26 40 - 50 0.13 – 0.23

Four types of diffusers are set in three orientations all south-facing and all cases running as constant wall temperature, but not that all walls of office are exposed to outside. For each type of diffuser three cases are chosen, the first case just eastern and southern walls, the second case is only the southern wall and the third case is the southern and western wall, and the ceiling wall in all cases is included.

Page 35: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Displacement Diffuser

The inlet diffuser is located near the west wall, and the exhaust opening is at

the center of the ceiling

the objects (human, computers, tables, lamps and cabinets) are simulated.

Boundary conditions:

Supply diffuser: mass flow rate of 0.0768 kg/s , turbulence intensity of 4% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using equations,

ko = 1.5 (0.04 × Vo) 2 (4.1)

(4.3)

Return: The outlet is specified as pressure outlet.

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω

models.

CHAPTER FIVERESULTS AND DISCUSSION

Page 36: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Computation meshes: (1,480,232) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is

used. The SIMPLEC scheme is used for the pressure-velocity coupling.

Summary of boundary conditions

Table (5.3) summarize boundary conditions:

Cases OrientationAir supply

ACH (kg/s)

Air velocity

(m/s)

Gross area

Agross

(m2)

Air temp.

supply

(ºC)

Air temp.

return

(ºC)

Case 1Eastern, southern and

ceiling walls

5.0 (0.0768) 0.35 1.1 × 0.53 15 24Case 2Southern and ceiling

wall

Case 3Southern, western and

ceiling wall

CHAPTER FIVERESULTS AND DISCUSSION

Page 37: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Simulation results

E

W

N

S

Fig. (5.2) Configuration of the displacement ventilation test case.

Fig. (5.3) The positions of the measuring poles for the

displacement ventilation test case, [13].

CHAPTER FIVERESULTS AND DISCUSSION

Page 38: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.10) Distribution of calculation air temperature contours with k-ε , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.11) Distribution of calculation air temperature contours with k-ω , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 39: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

a

Fig. (5.12) Distribution of calculation air temperature contours with k-ε , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.13) Distribution of calculation air temperature contours with k-ω , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 40: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.14) Distribution of calculation air temperature contours with k-ε , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.15) Distribution of calculation air temperature contours with k-ω , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 41: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

CHAPTER FIVERESULTS AND DISCUSSION

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

Fig. (5.16) Effect draft temperature for k-ε and k-ω models, (a) case1, (b) case 2,

(c) case 3.

a b

c

Page 42: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Grille Diffuser

Boundary conditions:

Supply diffuser: mass flow rate of 0.0768 kg/s , turbulence intensity of 4% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using equations

(4.1) and (4.3).

Return: The outlet is specified as pressure outlet.

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω

models.Computation meshes: (499,952) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is used.

The SIMPLEC scheme is used for the pressure-velocity coupling.

CHAPTER FIVERESULTS AND DISCUSSION

Page 43: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Summary of boundary conditions

Table (5.4) summarize boundary conditions:

Cases OrientationAir supply

ACH (kg/s)

Air velocity

(m/s)

Gross area

Agross

(m2)

Air temp.

supply

(ºC)

Air temp.

return

(ºC)

Case 1Eastern, southern and

ceiling walls

5.0 (0.0768) 2.7 0.28 × 0.18 15 24Case 2Southern and ceiling

wall

Case 3Southern, western and

ceiling wall

CHAPTER FIVERESULTS AND DISCUSSION

Page 44: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Simulation results

Fig. (5.17) Configuration of grille ventilation test case

Fig. (5.18) The positions of the measuring poles for the grille

ventilation test case [13].

CHAPTER FIVERESULTS AND DISCUSSION

E

W

N

S

Page 45: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.10) Distribution of calculation air temperature contours with k-ε , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.11) Distribution of calculation air temperature contours with k-ω , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 46: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.12) Distribution of calculation air temperature contours with k-ε , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.13) Distribution of calculation air temperature contours with k-ω , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 47: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.14) Distribution of calculation air temperature contours with k-ε , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.15) Distribution of calculation air temperature contours with k-ω , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 48: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

CHAPTER FIVERESULTS AND DISCUSSION

a b

c

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3-2.5

-2-1.5

-1-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

Fig. (5.31) Grille effect draft temperature for k-ε and k-ω models, (a) case1, (b) case

2, (c) case 3.

Page 49: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Slot Diffuser

Boundary conditions:

Supply diffuser: mass flow rate of 0.1410 kg/s , turbulence intensity of 5% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using equations

(4.1) and (4.3).

Return: The outlet is specified as pressure outlet.

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω

models.Computation meshes: (1,071,118) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is used.

The SIMPLEC scheme is used for the pressure-velocity coupling.

CHAPTER FIVERESULTS AND DISCUSSION

Page 50: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Summary of boundary conditions

Table (5.5) summarize boundary conditions:

Cases OrientationAir supply

ACH (kg/s)

Air velocity

(m/s)

Gross area

Agross

(m2)

Air temp.

supply

(ºC)

Air temp.

return

(ºC)

Case 1Eastern, southern and

ceiling walls

9.2 (0.1410) 3.9 1.15 × 0.10 15 24Case 2Southern and ceiling

wall

Case 3Southern, western and

ceiling wall

CHAPTER FIVERESULTS AND DISCUSSION

Page 51: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Simulation results

Fig. (5.31) Configuration of slot ventilation test case.

Fig. (5.32) The positions of the measuring poles for the ceiling slot

ventilation test case, [13].

CHAPTER FIVERESULTS AND DISCUSSION

E

W

N

S

Page 52: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.40) Distribution of calculation air temperature contours with k-ε , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m

Fig. (5.41) Distribution of calculation air temperature contours with k-ω , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m

Page 53: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.12) Distribution of calculation air temperature contours with k-ε , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.13) Distribution of calculation air temperature contours with k-ω , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 54: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.14) Distribution of calculation air temperature contours with k-ε , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.15) Distribution of calculation air temperature contours with k-ω , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 55: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

CHAPTER FIVERESULTS AND DISCUSSION

a b

c

Fig. (5.46) Slot effect draft temperature for k-ε and k-ω models,

(a) case1, (b) case 2, (c) case 3.

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-5

-4.5-4

-3.5-3

-2.5-2

-1.5-1

-0.50

k-εk-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-7

-6

-5

-4

-3

-2

-1

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-5

-4.5-4

-3.5-3

-2.5-2

-1.5-1

-0.50

k-ε k-w

Length room (m)

EDT

Page 56: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Square Diffuser

Boundary conditions:

Supply diffuser: mass flow rate of 0.750 kg/s , turbulence intensity of 5% .

The turbulence quantities (k, ε or ω) at the inlet are calculated using equations

(4.1) and (4.3).

Return: The outlet is specified as pressure outlet.

Thermal conditions:• Computer 1: 171.43 W/m2

• Computer 2: 274.6 W/m2

• Human simulators: 41.9 W/m2

• Lamps: 37.78 W/m2

Turbulence modeling: Applying that the Realizable k-ε and the SST k-ω

models.Computation meshes: (1,751,500) cells.

Numerical schemes: discretized using the second-order upwind scheme. For the

discretization of pressure, the PRESTO! (PREssure STaggering Option) scheme is used.

The SIMPLEC scheme is used for the pressure-velocity coupling.

CHAPTER FIVERESULTS AND DISCUSSION

Page 57: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Summary of boundary conditions

Table (5.5) summarize boundary conditions:

Cases OrientationAir supply

ACH (kg/s)

Air velocity

(m/s)

Gross area

Agross

(m2)

Air temp.

supply

(ºC)

Air temp.

return

(ºC)

Case 1Eastern, southern and

ceiling walls

4.9 (0.750) 5.2 0.3 × 0.3 15 24Case 2Southern and ceiling

wall

Case 3Southern, western and

ceiling wall

CHAPTER FIVERESULTS AND DISCUSSION

Page 58: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5

Simulation results

Fig. (5.47) Configuration of ceiling slot ventilation test case.

Fig. (5.48) The positions of the measuring poles for the ceiling slot

ventilation test case, [13].

CHAPTER FIVERESULTS AND DISCUSSION

E

W

N

S

Fig. (5.49) modeling of the square diffuser.

Page 59: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.56) Distribution of calculation air temperature contours with k-ε , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.57) Distribution of calculation air temperature contours with k-ω , case 1,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 60: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.58) Distribution of calculation air temperature contours with k-ε , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.59) Distribution of calculation air temperature contours with k-ω , case 2,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Page 61: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

a a

b b

CHAPTER FIVERESULTS AND DISCUSSION

Fig. (5.60) Distribution of calculation air temperature contours with k-ε , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4m.

Fig. (5.61) Distribution of calculation air temperature contours with k-ω , case 3,

(a) plane at z=1.825m, (b) plane at z=0.4 m.

Page 62: Republic of Iraq Ministry of Higher Education & Scientific Research University of Technology By: Hyder Mohammed Abdul Hussein ABSTRACT A theoretical study

5Simulation results

CHAPTER FIVERESULTS AND DISCUSSION

a b

c

Fig. (5.62) Slot effect draft temperature for k-ε and k-ω models,

(a) case1, (b) case 2, (c) case 3.

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-4.5

-4-3.5

-3-2.5

-2-1.5

-1-0.5

0

k-ε k-w

Length room (m)

EDT

0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

k-ε k-w

Length room (m)

EDT