The equation describing the turbulent Graetz problem (heat transfer to a fluid between parallel plates) is solved numerically for first ten eigenvalues and eigenfunctions in the range of both 104≤Re≤5×105 and 0.01≤Pr ≤10.In the calculation, we used the new correlations of turbulent fluid velocity, eddy diffusivity and turbulent Prandtl number from a reconsideration of the available experimental work. Heat transfer rates are predicted for both the entrance and fully developed regions of parallel plates. The effect of the uniform wall temperature boundary condition on heat transfer rate is discussed. Calculations of Nusselt numbers in the entrance region are in good agreement with experimental data.
Read full abstract