7/24/2019 Assignment 1 NUMERICAL

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CHE 555 NUMERICAL METHODS & OPTIMIZATION

ASSIGNMENT 1

ANSWER ALL QUESTIONS

This is a group assignment (3 members) which has to be submitted on 26/10/2015. (Standardize a the

cacuation up to ! decima points).

QUESTION 1

The "amous #rgun e$uation is common% used to predict the pressure drop across a pac&ed

 bed in a pac&ed coumn'

(5.11

1501

3

2  +

     

−=

−

∆

 µ 

ε 

ε 

ε  ρ 

o p

 p

o

  G D L

 D

G

 P 

etermine the *oid "raction (+) b% using "ase position and ,ewton -aphson methods.

i*en'

1000202

  =   

  =

∆ µ 

 ρ  o p p

o

G Dand 

 L

 D

G

 P 

(20 mar&s)

QUESTION 2

am o""ee Sdn. hd. is a compan% that produces instant co""ees name% as o""ee o""ee and

o""ee . These t%pes o" co""ees ha*e di""erent ingredient that suit to di""erent "a*or such as strong

mid and reguar taste. The ingredients $uantities re$uired "or each pac& instant co""ee are presented in

Tabe 1.

Table 1: Inge!"en#$ % ea'( )a'* "n$#an# '%ee

C%ee C%ee +g, S-ga +g, Cea.e +g,

A !0 5 10

/ 20 .5 30

C 25 10 20

" there are on% 2 &g o" co""ee 0.5 &g o" sugar and 1.5 &g o" creamer a*aiabe determine $uantit% o" 

instant co""ee that can be produced b% using ,a4*e auss #imination and auss Seide methods.

int' Start cacuation o" auss Seide methods with 10.

(20 mar&s)

QUESTION 0

So*e 7uestion 2 b% using E'el and Ma#lab. 8rite the detais common (#9ce : ;atab) and resut

o" this probem.

(10 mar&s)