# Show all the steps leading to the integral balance equation (18.6) in the text. Use the following

## Question:

Show all the steps leading to the integral balance equation (18.6) in the text.

Use the following boundary conditions and verify Eq. (18.7). (i) At \(y=0, T=T_{\mathrm{S}}\). (ii) At \(y=\delta_{\mathrm{t}}, T=T_{0}\). (iii) At \(y=\delta_{\mathrm{t}}, \partial T / \partial y=0\). (iv) At \(y=0, \partial^{2} T / \partial y^{2}=0\).

What is the rationale for the fourth condition above? Using the cubic profile, derive Eq. (18.9).

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**Related Book For**

## Advanced Transport Phenomena Analysis Modeling And Computations

**ISBN:** 9780521762618

1st Edition

**Authors:** P. A. Ramachandran