AIP Advances · 2015 · 106 citations · 22 references
EngineeringMechanical EngineeringPhysicsFluid DynamicsHeat TransferThermodynamicsBoundary ConditionsHeat FlowHeat Transfer AnalysisMagnetohydrodynamicsRadiative Heat TransferThermal Boundary LayersBoundary-layer EquationsConfluent Hypergeometric FunctionsConvective Heat FluxConvective Heat TransferHeat Transfer In Boundary LayersSurface TemperatureThermal RadiationViscous Dissipation
This article focuses on the exact solution regarding convective heat transfer of a magnetohydrodynamic (MHD) Jeffrey fluid over a stretching sheet. The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function. The influence of the pertinent parameters on the temperature profile is examined. In addition the results for the wall temperature gradient are also discussed in detail.
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