- #1
rudy
- 45
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- TL;DR Summary
- How to perform change of variables for an equation in my textbook. I cannot reproduce their result.
Hello-
In the attached screenshot from my textbook, I am trying to understand how they get from equation 6.5 to 6.5a. I have attached my attempt to solve it, but I am stuck evaluating the left side. I do not see how to get their result.
Relevant information:
k, T_w, T_inf, h and L are all constants.
T (no subscript) and y are the only variables.
Any suggestions are appreciated. If it helps this equation is for heat transfer from a wall to the atmosphere. The idea is that at y = 0 (or on the surface of a plate) the heat transfer by conduction and the heat transfer by convection are equal. This part I understand, I just don't understand their steps.
Thanks for any help,
-rudy
In the attached screenshot from my textbook, I am trying to understand how they get from equation 6.5 to 6.5a. I have attached my attempt to solve it, but I am stuck evaluating the left side. I do not see how to get their result.
Relevant information:
k, T_w, T_inf, h and L are all constants.
T (no subscript) and y are the only variables.
Any suggestions are appreciated. If it helps this equation is for heat transfer from a wall to the atmosphere. The idea is that at y = 0 (or on the surface of a plate) the heat transfer by conduction and the heat transfer by convection are equal. This part I understand, I just don't understand their steps.
Thanks for any help,
-rudy