Buoyancy Effects in Forced-Convection Flow and Heat Transfer : 2nd Report, Analysis by the Perturbation Method
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概要
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An analysis is made of the effects of buoyancy forces in a laminar forced-convection flow on a vertical flat plate by using the perturbation method. The solutions are obtained up to the 3rd order approximation; accordingly, the range of applicability of the solution by the analysis is expanded. It is proved that solutions of the 1st report are applicable to a wider region of ξ for the fluids of P_r ≧1 in the case of friction factor and of all Prandtl numbers as to heat transfer, by comparing with the results of this paper. Furthermore, the friction factor and heat transfer coefficient are calculated, and it is shown that a linear relation exists between values. Also it is proved that the solution of energy equation Θ′(ξ,0) can be presented by a similar formula, Θ′(ξ,0) = -(0.664+0.48ξ)P_r^<1/3>, (0≦ξ≦0.3), which is formulated in a purely forced-convection heat transfer problem.
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