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Solutions for Chemical Engineering Fluid Mechanics 3rd Edition by Ron Darby $29.49   Add to cart
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Solutions for Chemical Engineering Fluid Mechanics 3rd Edition by Ron Darby
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Solutions Manuals for Chemical Engineering Fluid Mechanics 3rd Edition by Ron Darby, Raj P. Chhabra. ISBN-13: 9771 Full Chapters Solutions included 1. Basic Concepts 2. Dimensional Analysis and Scale-Up 3. Fluid Properties in Perspective 4. Fluid Statics 5. Conservation Princip...

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  • September 29, 2022
  • 989
  • 2022/2023
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Chapter 1


1-1 Write equations that define each of the following laws: Fick’s, Fourier’s, Newton’s, and
Ohm’s. What is the conserved quantity in each of these laws? Can you represent all of these
laws by one general expression? If so, does this mean that all of the processes represented by
these laws are always analogous? If they aren’t, why not?
Solution:
dCA  
(a) Fick: 1 − D: n Ay = -DAB , 3 − D : n A = -DAB∇CA
dy
d ( ρCv T ) dT  
Fourier: 1 − D : q y = -α = -k , 3- D : q = -k∇T
dy dy
k
α= = Thermal Diffusivity
ρCv

d ( ρv x )
Newton: 1 − D: (τ )
yx m = -ν
dy
dv
dy

(
= -µ x , 3- D: τ m = -µ ∇v + ( ∇v )
  +
)
ν = Kinematic viscosity
(3–D form is not analogous to other laws)
de  
Ohm: 1 − D : i y = -k e , 3- D : i = -k e∇e
dy
(b) What is the conserved quantity?


Fick: Mass of species A
Fourier: Heat
Newton: x-momentum
Ohm: Charge
dCQ
(c) General Expression: Q y = -k T applies to 1- D forms of all laws
dy
 
3 − D : Q = -k T ∇CQ applies to all except momentum

d) All but momentum equations are analogous. (in 3–D)




1

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