Solutions for Chemical Engineering Fluid Mechanics 3rd Edition by Ron Darby
295 views 2 purchases
Module
Chemical Engineering
Institution
Chemical Engineering
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...
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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Tutor247. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £24.24. You're not tied to anything after your purchase.