Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Given is the dimensionless system of temperature and concentration profile for a solid fuel pill of a spherical structure. d e l Y d e

Given is the dimensionless system of temperature and concentration profile for a solid fuel pill of a spherical structure.
delYdel=1z2deldelz(z2delYdelz)-2Yexp((1-1))
Ledeldel=1z2deldelz(z2deldelz)+2Yexp((1-1));
The initial and boundary conditions become:
Y(0,z)=Y(,1)=1;
(0,z)=(,1)=1;
delYdelz(,0)=deldelz(,0)=0
The equations may be further simplified with the help of the following "trick". Introduce the new
variables Y=yz, and =z. Show that the equations for the new variables become:
delydel=del2ydelz2-2yexp((1-z))
Ledeldel=del2delz2+2yexp((1-z));
The initial and boundary conditions are (why?):
y(0,z)=z;y(,1)=1;
(0,z)=z;(,1)=1;
zdelydelz(,0)-y(,0)=zdeldelz(,0)-(,0)=0
Can you help explain how the last boundary condition becomes?
z(dely)/(delz)(\tau ,0)-y(\tau ,0)=0
z(del\theta )/(delz)(\tau ,0)-\theta (\tau ,0)=0
From:
(delY)/(delz)(\tau ,0)=0
(del\Theta )/(delz)(\tau ,0)=0
image text in transcribed

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Mass And Heat Transfer Analysis Of Mass Contactors And Heat Exchangers

Authors: T. W. Fraser Russell, Anne Skaja Robinson, Norman J. Wagner

1st Edition

0521886708, 9780521886703

More Books

Students also viewed these Chemical Engineering questions

Question

The Nature of Nonverbal Communication

Answered: 1 week ago

Question

Functions of Nonverbal Communication

Answered: 1 week ago

Question

Nonverbal Communication Codes

Answered: 1 week ago