Abstract
The boundary layer equations for steady incompressible laminar forced convection in the entrance region of a parallel plates channel are solved through the integral transform method, by adopting the streamfunction-only formulation, which was preferred over the more commonly used primitive variables formulation. This hybrid numerical-analytical approach allows for the automatic global error control in the final solution and is particularly useful in the validation of purely numerical schemes. A thorough convergence analysis is performed, providing benchmark results for the temperature fields and Nusselt numbers for different values of the Prandtl number.
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