The Generalized Integral Transform Technique (GITT) is extended and unified to handle a wide class of nonlinear convective heat and mass transfer formulations that involve nonlinearities in every each equation and boundary condition coefficients and source terms. The proposed hybrid numerical-analytical approach is applicable to both steady and transient situations, and the integral transformation process is promoted so as to yield an explicit transformed system, which can be more efficiently handled by the well-known numerical algorithms for initial value problems. An application of laminar forced convection in duct flow with temperature dependent thermophysical properties is considered more closely to illustrate the formal solution.
Volume Subject Area:
Heat Transfer, Fluid Flows, and Thermal Systems
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