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1 International Journal of Applied Mechanics and Engineering

1 2008

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A finite difference method to find velocity and temperature distribution for parallel plate channel

Banerjee M. K., Banerjee R.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 4

875-887

The continuity equation and the simplified version of the time dependent boundary layer momentum and energy equations are solved simultaneously for flow between two parallel plates, using an explicit numerical procedure. Solving the three equations simultaneously eliminates the need to assume the shape of the velocity and temperature profiles. Furthermore, this approach provides a picture of the variation of the velocity and temperature within the entire channel. The steady-state solution is obtained by letting time become very large. The shape of the velocity and temperature profiles seems to be consistent with theoretical expectations. The velocity and temperature profiles become fully developed at approximately x/a=0,05 Re for Pr=l, as expected.