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Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition by Christie John Geankoplis

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5.7. BOUNDARY-LAYER FLOW AND TURBULENCE IN HEAT TRANSFER

5.7A. Laminar Flow and Boundary-Layer Theory in Heat Transfer

In Section 3.10C an exact solution was obtained for the velocity profile for isothermal laminar flow past a flat plate. The solution of Blasius can be extended to include the convective heat-transfer problem for the same geometry and laminar flow. In Fig. 5.7-1 the thermal boundary layer is shown. The temperature of the fluid approaching the plate is T and that of the plate is TS at the surface.

Figure 5.7-1. Laminar flow of fluid past a flat plate and thermal boundary layer.

We start by writing the differential energy balance, ...

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