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johnsonb.engr

- 12

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Could some one please help me. My professor for a lower level programming class (in labview) has given the class the following assignment. This is not a heat transfer class and he has not spoken/taugh us anything related to heat transfer. He emailed us a few pages from a heat transfer book about bessel-fourier series solutions to differential equations but the text is pretty technical plus pretty low quality scanned image.

Could some one please help me/point me in the right direction to solve this problem?

(note i just need to help setting up the equations, the programming of this is going to be an eternally different beast!)

"Using the method of separation of variables, provide a VI that predicts, starting from a fixed initial bulk temperature, the transient temperature in a finite length section of a thick-walled tube, subject to insulated boundaries at the outer radius and both ends, and a prescribed temperature or heat flux on the inner surface. Make the heat capacity, thermal conductivity, coefficient of heat transfer, dimensions, and internal BC all variables. For a fixed inner temp, predict heat flux, for a fixed heat flux, predicted temperature, each as a function of time.

Superposition allows the steady state solution of the radial and axial directions "

Your help would be greatly appreciate, I have taken heat transfer about a year ago but i don't remember ever having to solve a transient state finite cylinder problem. ps. sense this class is lower division i would say over half the class has not taken heat transfer

yet!

Thank you for your time, any help would be greatly appreciated!