Question: Unsteady-state heating of a slab (Laplace transform method) (a) Re-solve the problem in Example 12.1-2 by using the Laplace transform, and obtain the result in

Unsteady-state heating of a slab (Laplace transform method) 

(a) Re-solve the problem in Example 12.1-2 by using the Laplace transform, and obtain the result in Eq. 12.1-31. 

(b) Note that the series in Eq. 12.1-31 does not converge rapidly at short times. By inverting the Laplace transform in a way different from that in (a), obtain a different series that is rapidly convergent for small times.

(c) Show how the first term in the series in (b) is related to the "short contact time" solution of Example 12.1-1.

Step by Step Solution

3.30 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Unsteadystate heating of a slab Laplacetransform method a We take the Laplace transform of Eq 12114 along with the initial conditions and boundary con... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

6-E-C-E-T-P (223).docx

120 KBs Word File

Students Have Also Explored These Related Chemical Engineering Questions!