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pool boiling or varying pressure
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CHAPTER-1 INTRODUCTION
Heat transfer in pool boiling is mainly used in flooded evaporators as in heat pumps,
refrigerating technique, air conditioning and within the process industry. The trend towards a
better understanding of the fundamentals of bubble formation is supported by new developments
in computer calculations and in measurement technique. However, little progress has been made
in the development of theoretically based predictive methods. A literature survey shows that
numerous influencing parameters for the heat transfer have been identified. Anyhow, it is not
clear how the certain influence parameters can be taken into account.
In applications where it is desirable to keep the temperature of a boiling surface low,
reducing the saturation pressure may be a useful solution. A reduction in the saturation pressure
causes a corresponding decrease in the saturation or boiling temperature, allowing a given
superheat level to be achieved with a lower surface temperature. This approach is particularly
useful when water is used as the boiling liquid.
Water is a desirable liquid since it has such a high heat of vaporization, high thermal
conductivity, and is non-toxic and non-flammable. Boiling in sealed vessels is a typical
application of low pressure boiling. Heat pipes, thermo siphons, and some heat pump cycles may
rely on low pressures to provide low surface temperatures while moving significant quantities of
heat. For example, it is often desirable to maintain a low temperature on the heated end of a heat
pipe or thermo siphon in spot cooling electronic components. Heat fluxes from current electronic
components are approaching 50 W/cm2. These fluxes are not easily handled by solid heat sinks.
Phase-change heat sinks, which operate with a nearly isothermal interior, are becoming
increasingly attractive.
Low temperature operation of these heat sinks may be prescribed by creating a saturated
liquid and vapor state in the vessel at very low pressures. Therefore the boiling occurs in the
heated end of the vessel at a low temperature. The system studied in this investigation consists of
boiling of water in a finite pool at sub atmospheric and atmospheric pressures from a small
horizontal thermo siphon surface. Knowledge of the boiling characteristics of the small heated
surface is necessary to insure that Steady and safe operating conditions are maintained. In
particular, the boiling heats transfer Characteristics of low-frequency intermittent bubble
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departures, the onset to continuous boiling, and the CHF condition. Because intermittent bubble
departure may cause undesirable surface temperature oscillations, continuous boiling is desired.
The CHF condition prescribes the upper limit on the system operation so as to avoid high surface
temperatures characteristic of film boiling. The characteristics of pool boiling of water at low
pressure are known to be much different from the corresponding process at atmospheric pressure.
Dissipation of large heat fluxes at relatively small temperature differences is possible in
systems utilizing pool boiling phenomenon as long as the heated wall remains wetted with the
liquid. With the wetted wall condition at the heated surface, heat is transferred by a combination
of two mechanisms: (i) bubbles are formed at the active nucleation cavities on the heated surface,
and heat is transferred by the nucleate boiling mechanism, and (ii) heat is transferred from the
wall to the liquid film by convection and goes into the bulk liquid or causes evaporation at the
liquid-vapor interface. The large amount of energy associated with the latent heat transfer
(compared to the sensible energy change in the liquid corresponding to the available temperature
potential in the system) in the case of nucleate boiling, or the efficient heat transfer due to liquid
convection at the wall, both lead to very high heat transfer coefficients in flow boiling systems.
Removal or depletion of liquid from the heated wall therefore leads to a sudden degradation in
the heat transfer.
MODES OF BOILING
1.1 NATURAL CONVECTION:
Water that is not in contact with its own vapour does not boil at the so called normal boiling, T sat
instead it continues to rise in temperature until bubble finally to begin to form. On convectional
machined metal surfaces, this occurs when the surface is few degree above Tsat.
1.2 POOL BOILING:
Pool boiling is the process in which the heating surface is submerged in a large body of stagnant
liquid. The relative motion of the vapor produced and the surrounding liquid near the heating
surface is due primarily to the buoyancy effect of the vapor. Nevertheless, the body of the liquid
as a whole is essentially at rest. Heating of the water at various pressures with a heated
cylindrical copper section submerged horizontally under the water level. The boiling curve is
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divided into 6 regions based on the observable patterns of vapor production. Region I, is so
small that the vapor is produced by the evaporation of the liquid into gas nuclei on the exposed
surface of the liquid. Region II, is large enough that additional small bubbles are produced
along the heating surface but later condense in the region above the superheated liquid. Region
III, is enough to sustain "nucleate boiling", with the creation of the bubbles such that they
depart and rise through the liquid regardless of the condensation rate. Region IV, an unstable
film of vapor was formed over the heating surface, and oscillates due to the variable presence of
the film. In this region, the heat transfer rate decreases due to the increased presence of the vapor
film. Region V, the film becomes stable and the heat transfer rate reaches a minimum point. In
Region VI, the is very large, and "film boiling" is stable such that the radiation through the
film becomes significant and thus increases the heat transfer rate with the increasing .
This behavior as described above occurred when the temperature of the wire was the controlled
parameter, Twall-Tsat = ∆T. If the power is the controlled variable then the increase in the power
(or heat flux, q") in Region III results in a jump in the wire surface temperature to a point in
Region VI. This point of transition is known as the critical heat flux and occurs due to
hydrodynamic fluid instabilities as discussed later. This results in the stable vapor film being
formed, and the wire surface temperature increases as the heat transfer resistance increases for a
fixed input power. If the power is now decreased, the vapor film remains stable in Region VI and
the decreases to the minimum point for film boiling within Region V. At this point the vapor
film becomes unstable and it collapses, with "nucleate boiling" becoming the mode of energy
transfer. Thus, one passes quickly through Region IV and III to a lower wire surface temperature.
This "hysteresis" behavior is always seen when the power (or heat flux) is the controlled
parameter.
On the effect of the pressure, Farber and Scorah suggested that increasing the pressure, for the
same temperature difference, would result in the decreasing of the size of the bubbles. At the
same time, the film becomes thinner and less circulation would be observed. This effect is
counter balanced by the increased density of the vapor and the attendant increase in its enthalpy.
Thus, the increase in pressure initially increased the heat transfer rate in pool boiling.
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The objective of this section is to present an overall picture of the pool boiling process with an
emphasis on the practical models used (1) to identify the transition between natural convection
and nucleate boiling, as well as nucleate and film boiling, and (2) to estimate the heat flux during
nucleate and film boiling given the difference between the heater surface temperature and the
bulk liquid. First, we consider the process of bubble nucleation and then begin to "construct" the
conceptual picture of the pool boiling curve with suggested.
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1.3 BUBBLE GROWTH AND NUCLEATE BOILING
The first phase of growth is controlled by the large ΔP that initially exists balanced by the
inertia of the surrounding liquid; i.e., inertial growth. As the bubble expands the is
maintained by vaporization of the surrounding liquid, caused by energy transfer from the
superheated liquid. The second phase of growth is controlled by the rate of energy transfer from
the liquid to the vapor-liquid interface to produce vapor and maintain the pressure; i.e., thermal
Page | 5
growth. There is a doubt that bubbles act in some way as small pumps that keeps replacing
liquid heated at the wall with cold liquid. The equation is that of specifying the correct
mechanism. the bubble probably acts to remove hot liquid from the wall and introduce cold
liquid to be heated. It is appeared that the numbers of active nucleation sites generating bubbles
with a strong influence q. on the basis of this experiment Yamagata shows that
Q α ΔTanb
Where ΔT=Tw-Tsat and n is the site density or no. of active sites per square meter. A great deal of
subsequent work has been done to fix the constant of proportionality and the constant exponent
a&b . The exponent term are approximately a=1.2, b=0.33.
1.4 TRANSITION BOILING
"Transition boiling is a combination of unstable film boiling and unstable nucleate
boiling alternately existing at any given location on a heating surface. The variation in heat
transfer rate with temperature is primarily a result of a change in the fraction of time each boiling
regime exists at a given location. The transition boiling section of the boiling curve is bounded
by the critical heat flux and the minimum heat flux. The critical heat flux has been extensively
studied and can be predicted by a variety of correlations. The minimum heat flux has undergone
less study. it is known to be affected by flow, pressure, fluid properties and heated surface
properties. At surface temperatures in excess of the CHF temperature, the heated surface will be
partially covered with unstable vapour patches, varying with space and time. Ellion studied
forced convective transition boiling in sub cooled water and observed frequent replacement of
vapour patches by liquid. Although this may seem similar to transition pool boiling as described
above, the introduction of the convective component will improve the film boiling component by
reducing the vapour film thickness and changing the heat transfer mode, whether dry or wet,
from free convection to forced convection. This will result in an increase in qmin and also can
increase Tmfb (if Tmfb is hydrodynamically controlled). For low qualities and sub cooled
conditions the slope of the transition boiling is always negative, just as in pool boiling. The
amount of heat transfer in the transition boiling region is primarily governed by liquid-solid
contact. At the critical heat flux point the contact-area (or time) fraction F is close to unity and,
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therefore, the liquid contact heat flux is close to the CHF. The value of F strongly decreases
with increasing wall temperature. Initially, at surface temperatures just in excess of the boiling
crisis temperature, a significant fraction of the droplets will deposit on the heated surface but at
higher wall superheats the vapour repulsion forces become significant in repelling most of the
droplets before they can contact the heated surface. The repelled droplets will contribute to the
heat transfer by disturbing the boundary layer sufficiently to enhance the heat transfer to the
vapour. The periodic contacts between liquid and heated surface in the transition boiling region
of the boiling curve result in the formation of both large amounts of vapour, which forces liquid
away from the surface, and creates an unstable vapour film or blanket. Because of this, the
surface heat flux and the surface temperature can experience variations both with time, and
position on a heater. However, the average heat transfer coefficient decreases as the temperature
increases, because the time of contact between the liquid and the heater surface is decreased. To
gain a better understanding of the transition boiling mechanism, the phenomena occurring at the
interface between fluid and a heated surface (i.e. the mechanism of fluid- solid contact including
the frequency of this contact; heat transfer in the contact areas; time history of such contact) need
to be considered.
Multiphase flow is characterized by the existence of interfaces between the phases and
discontinuities of associated properties. In contrast multiphase flow is classified according to the
internal phase distributions or "flow patterns" or "regimes". For a two-phase mixture of a gas or
vapor and a liquid flowing together in a channel, different internal flow geometries or structures
can occur depending on the size or orientation of the flow channel, the magnitudes of the gas and
liquid flow parameters, the relative magnitudes of these flow parameters, and on the fluid
properties of the two phases.
The rate of exchange of mass, momentum and energy between gas and liquid phases
as well as between any multiphase mixture and the external boundaries depend on these internal
flow geometries and interfacial area; hence is dependent on flow-pattern. For instance, the
relationships for pressure drop and heat transfer are likely to be different for a dispersed flow
consisting of bubbles in a liquid (bubbly flow) than for a separated flow consisting of a liquid
film on a channel wall with a central gas core (annular flow). This leads to the use of flow-
pattern dependent models for mass, momentum and energy transfer, together with appropriate
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flow-pattern transition criteria. Given the existence of any one pattern, it is possible to model the
two-phase flow field and to select a proper set of flow-pattern dependent equations so as to
predict the important process design parameters. However, the central task is to predict which
flow-pattern will exist under any set of operating conditions as well as to predict the value of
characteristic fluid and flow parameters (e.g., bubble or droplet size) at which the transition from
one flow-pattern to another will take place. Therefore, in order to accomplish a reliable design of
gas-liquid systems such as pipe lines, evaporation and condensers, a prior knowledge of the
flow-pattern is required.
1.5 CRITICAL HEAT FLUX:
When liquid coolant undergoes a change in phase due to the absorption of heat from a heated
solid surface, a higher transfer rate occurs. the more efficient heat transfer from the heated
surface (in the form of heat of vaporization plus sensible heat) and the motions of the bubbles
(bubble-driven turbulence and convection) leads to rapid mixing of the fluid. therefore, boiling
heat transfer has played an important role in industrial heat transfer processes such as
macroscopic heat transfer exchangers in nuclear and fossil power plants, and in microscopic heat
transfer devices such as heat pipes and micro channels for cooling electronic chips. The use of
boiling is limited by a condition called critical heat flux which is also called a boiling crisis or
departure from nucleate boiling. The most serious problem is that the boiling limitation can be
directly related to the physical burnout of the materials of a heated surface due to the suddenly
inefficient heat transfer through a vapor film formed across the surface resulting from the
replacement of liquid by vapor adjacent to the heated surface. Consequently, the occurrence of
CHF is accompanied by an inordinate increase in the surface temperature for a surface-heat-flux-
controlled system. Otherwise, an inordinate decrease of the heat transfer rate occurs for a
surface-temperature-controlled system. This can be explained with Newton’s law of cooling:
q=h(tw-tf)
Where q represents the heat flux, h represents the heat transfer coefficient, tw represents the wall
temperature and tf represents the fluid temperature. if h decreases significantly due to the
occurrence of the CHF condition, tw will increase for fixed q and tf while q will decrease for fixed
δt. the understanding of CHF phenomenon and an accurate prediction of the CHF condition are
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important for safe and economic design of many heat transfer units including nuclear reactors,
fossil fuel boilers, fusion reactors, electronic chips, etc. therefore, the phenomenon has been
investigated extensively over the world since Nukiyama first characterized it in 1950.
Kutateladze suggested the hydrodynamical theory of the burnout crisis. Much of significant work
has been done during the last decades with the development of water cooled nuclear reactors.
Now many aspects of the phenomenon are well understood and several reliable prediction
models are available for conditions of common interests.
1.6 FILM BOILING:
Post-CHF heat transfer is encountered when the surface temperature becomes too high to
maintain a continuous liquid contact, and the surface becomes covered by a continuous or
intermittent vapour blanket. Post-CHF heat transfer includes transition boiling, where
intermittent wetting of the heated surface takes place, and film boiling, where the heated surface
is too hot to permit liquid contact. The boundary between these post-CHF heat transfer modes is
the minimum film boiling temperature, or TMFB. Due to the poor heat transport properties of the
vapour, high heated surface temperatures are often encountered during film boiling.
Post-CHF heat transfer is initiated as soon as the critical heat flux condition is
exceeded. It persists until quenching or rewetting of the surface occurs. The occurrence of film
boiling depends on surface temperature and flow conditions. The post-CHF heat transfer modes
in flow boiling can be classified as:
(i) Transition boiling (also referred to as “sputtering”)
(ii) inverted-annular film boiling (IAFB) associated with sub cooled or low quality flow
(iii) dispersed-flow film boiling (DFFB) associated with intermediate and high quality flow.
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CHAPTER-2 OBJECTIVE OF THE PROJECT
The main aim of this project is to design and fabricate a pool boiling apparatus and study
the various parameters involving heat transfer flux for varying pressures. In this paper, the most
common calculation methods for nucleate boiling are presented and compared to experimental
results. New investigations are carried out for water and organic fluids in order to improve this
method especially for low pressures. Therefore, an existing standard apparatus for pool boiling at
ambient pressure is prepared to fit the new requirements for variable pressures.
The saturated pool boiling heat transfer characteristics, waiting time analysis, departure
time analysis and the critical heat flux (CHF) condition are to be determined in the
experiments and compare the experimental results for sub- atmospheric, ambient and
overpressure.
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CHAPTER-2
EXPERIMENTAL SETUP
Figure 1 shows the experimental test section and system used in this investigation. The
copper test sections were machined to accommodate two heaters in the bottom end. The top half
of the copper piece was milled to provide 3 cm diameter circular section heater which is 4cm
long. Within these sections, 0.8 mm holes were drilled to the center to hold thermocouple wires.
The copper and thermocouples were then cast in a low viscosity epoxy. Round one of 7.04cm2
were used since they could accommodate a range of typical electronic component sizes in a
thermosiphon application.
The main body of the pool boiling container was made with 3.5 cm I.D. tubing. In order
to examine boiling under different below and above atmospheric pressures. Nucleate boiling is
very dependent on cavity size, distribution, and wetting properties. The most difficult extraneous
nucleation sites to control were at the interface between the copper test section and the epoxy.
This interface had to both maintain a vacuum seal and not become a cavity for nucleation. The
epoxy that was eventually selected, adhered and sealed well enough to the copper so that boiling
did not occur at the edge where the copper and epoxy met, even after repeated thermal cycling.
Once the epoxy cured, the top surface of the copper could be treated. Excess epoxy was milled
down to be flush with the copper surface. The copper/epoxy surface was then finished with
emery paper and cleaned with alcohol.
The epoxy surface was then bonded to the end of a clear tube to allow observations. The clear
tube fit inside a collar fixed at the bottom of the condenser so that repeated assembly was
impossible. The condenser was made of a 15cm long section of copper tubing which had radial
copper fins wound and welded onto its O.D. Heat was removed from the fins with an fan. A
thermocouple probe extended down through the inside of the tube and could be positioned
vertically to monitor fluid or vapor temperatures. A vacuum pressure gauge measured the
internal pressure of the thermosiphon. During initial start up of the system, a valve allowed a
two-stage vane-type vacuum pump to pull the internal pressure down to very low values. The
liquid was boiled during this step to remove gasses from the internal volume. pressure, indicated
the presence of non-condensible gasses.
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PARTS OF APPARATUS
1. T-section of Copper metal
2. Glass tube
3. Condenser Section
4. Collar
5. Thermocouple
6. Temperature Reader
7. Air Blower
8. Heater
9. Ammeter
10. Epoxy
11. Insulation
12. Vacuum pump
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REFRENCES
1. R. Cole and H. L. Shulman., Bubble Departure Diameters at Subatmospheric Pressures.
Chemical Engineering Progresses Symposium Series
2. S. J. D. Van Stralen, R. Cole, W.M. Sluyter, and M. S. Sohal. Bubble Growth Rates in
Nucleate Boiling of Water at Subatmospheric Pressures. International Journal of Heat
and Mass Transfer
3. A. Niro and G. P. Beretta. Boiling Regimes in a Closed Two-Phase Thermosyphon.
International Journal of Heat and Mass Transfer 33(10)
4. W. R. McGillis, V. P. Carey, J. S. Fitch, and W. R. Hamburgen. Pool Boiling on a Small
Heat Dissipating Element in Water at Low Pressure. To be presented at ASME/AIChE
National Heat Transfer Conference, Minneapolis Minnesota.
5. W. Nakayama, T. Daikoku, H. Kuwahara, and T. Nakajima. Dynamic Model of
Enhanced Boiling Heat Transfer on Porous Surfaces, Part I: Experimental Investigation.
Journal of Heat Transfer 102:445-450,
6. A. Niro and G. P. Beretta Boiling Regimes in a Closed Two-Phase Thermosyphon.
International Journal of Heat and Mass Transfer 33(10)
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