Alexandria Engineering Journal · 2016 · 90 citations · 28 references
EngineeringMechanical EngineeringPhysicsFluid DynamicsHeat TransferThermodynamicsHeat ConductionHeat FlowHeat Transfer AnalysisHeat Transfer FundamentalsHeat Transfer In FluidsHeat Transfer ModelingHeat Flux AnalysisHeat Transfer MechanismsMagnetic Dipole InteractionPrandtl NumberSurface TemperatureSurface Temperature AnalysisTemperature ProfilesThermal Fluid Dynamics
The study investigates Jeffery fluid flow and heat transfer over a linearly stretching sheet under a magnetic dipole effect. The governing equations are reduced to nonlinear ODEs via similarity transformations and solved numerically using Runge–Kutta shooting and a series method based on genetic and Nelder–Mead algorithms. Graphical and tabular analyses show how parameters such as β, γ1, Pr, S, λ2 influence velocity and temperature profiles for prescribed surface temperature and heat flux, with results agreeing well with existing studies.
The purpose of the present paper was to investigate the flow and heat transfer of Jeffery fluid past a linearly stretching sheet with the effect of a magnetic dipole. The governing differential equations of motion and heat transfer are transformed into nonlinear coupled ordinary differential equations (ODEs) using appropriate similarity transformations. Then the ODEs are solved by adopting two different schemes, Runge–Kutta with shooting technique and series solution based on GA and NM. The effect of various physical parameters including ferromagnetic interaction parameter (β), Deborah number (γ1), Prandtl number (Pr), suction/injection parameter (S), ratio of relaxation to retardation times (λ2) on velocity and temperature profiles is illustrated graphically and in tabular form by considering two types of thermal process namely prescribed surface temperature (PST) and prescribed heat flux (PHF). Comparison with available results for particular cases is found an excellent agreement.
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