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Problem Specification

In our problem, we have a flat plate at a constant temperature of 413K. The plate is infinitely wide. The velocity profile of the fluid is uniform at the point x = 0. The free stream temperature of the fluid is 353K. The assumption of incompressible flow becomes invalid increasingly less valid for larger temperature differences between the plate and freestream. Because of this, we will treat this as a compressible flow. We will analyze a fluid flow with the following non-dimensional conditions:

 
In order to achieve these flow conditions, we will use these free stream flow conditions:


 
According to the ideal gas law, this temperature and pressure result in the following freestream density:

 
These flow conditions do not necessarily represent a realistic fluid. Rather, they are chosen to provide the Prandtl and Reynolds numbers specified above. This will make calculations simpler throughout this tutorial.

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