Laminar convective heat transfer in the entrance region between parallel flat plates
Miller, James. A.
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Heat transfer rates for laminar, convective heat transfer in the entrance region between parallel plates are investigated. The hydro-dynamic solution due to Bodia (2) was used in the solution of the energy equation in finite difference form on a digital computer. The thermal boundary conditions include: constant heat input, constant wall temperature, one wall constant temperature and one wall insulated, and constant but different wall temperatures on the upper and lower walls. The approximate, integral methods of Siegel and Sparrow (6) and (7) produce results that are in close agreement with the solutions in this analysis for the constant heat input and constant wall temperature cases. The scope of the finite difference solution is limited to a narrow range of Prandtl numbers near unity, due to the small grid sizes required for convergence at small Prandtl numbers and to the overly low transfer rates indicated near the entrance for high Prandtl numbers, which is a result of the "finite starting length."
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