Semi Infinite Plate (Lumped,Integral, Differential Formulations and solution) Ar

Question

Semi Infinite Plate (Lumped,Integral, Differential Formulations and solution) Arpaci Book.

1- Formulate the differential (I assume its lumped for the plate and 2D for the flow)(Also, it may solved by Kantrovich mithod)

2- solve the differential and find
I- heat flux and, Along with all Boundary Condictions (BC)
    II- temperature distribution

A frictionless incompressible fluid having the velocity U infinity flows steadily over a thin semi-infinite plate of thickness delta* (Fig. 2-60). The initial temperatures of the fluid and the wall are the same, T infinity. Then the uniform heat flux q" is suddenly applied to the bottom of the plate. Find the unsteady penetration of the heat flux into the fluid.

Explanation / Answer

http://opencourses.emu.edu.tr/pluginfile.php/1137/mod_resource/content/0/Lecture_Notes/Chapter_4.pdf

this link gives detailed approach to the problem...see for 4.4 on page 5 onwards....please rate if u find useful

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