A mathematical model has been developed to study the Joule heating effect on mixed convection MHD dissipative and radiative flow of an incompressible Jeffrey fluid due to a stretching sheet with power law heat flux, heat source/sink and suction. Similarity transformations are adopted to acquire ordinary differential equations from the governed partial differential equations. Series solutions are procured for these ordinary differential equations by admitting homotopy analysis method (HAM). A decisive way of convergence of series solutions is also provided. Characteristics of dissonant parameters on velocity, temperature, skin friction coefficient and Nusselt number are collected and discussed through graphs and tables. It is seen that the velocity enhances with an increase in Deborah number. Further the temperature is a depreciating function of Deborah number.
The theoretical is investigation is performed for Cattaneo-Christov heat flux on UCM fluid over a melting surface in the presence of exponentially decaying heat source or sink. Melting surfaces have major real-time applications such as industrial and manufacturing processes (Pharma, beverage's and leather industries). We also incorporated the cross diffusion and double thermal stratifications effects for controlling the heat and mass transfer phenomena. The governing system of partial differential equations (PDEs) is transformed into non-linear ordinary differential equations (ODEs) and which answered by using fourth-fifth Runge Kutta Felhberg -integration scheme. We also calculated the local Nusselt and Sherwood number values as well as velocity, temperature and concentration profiles for various physical governing parameters such as exponentially decaying heat source or sink, thermal stratification, Soret and dufour numbers. It is found that the thermal relaxation helps to improve the local Nusselt number whereas thermal stratification enhances the mass transfer rate.
The flow has been made by considering variable temperature and radiation effects for the magnetohydrodynamic viscoelastic fluid past a moving vertical plate in a porous medium. Chemical reaction and concentration have been taken into account. The governed mathematical statement is handled analytically by perturbation technique. The main view of this research is to investigate the effects of parameters and numbers in the problem on fluid flow, thermal boundary and concentration profiles. The velocity profile has been reduced by increasing the magnetic parameter due to the Lorentz force in the opposite direction of flow. Temperature profile is increased by rising thermal radiation and concentration distribution is decreased by enhancing the chemical reaction and Schmidt number. The Schmidt number represents the relative ease of the molecular momentum and mass transfer and it is very important in multiphase flows. The effect of increasing values of the Schmidt number is to reduce the momentum boundary layer and this leads to the thinning of the diffusion layer. Furthermore, at the end of this paper the effects of different parameters on skin friction coefficient and local Nusselt number are investigated.
The mode of heat transfer will play an important role in the heat engineering applications. The present work is focused on analytical investigation of unsteady heat and mass transfer rate through porous medium in the presence of uniform transverse magnetic field along with radiation/absorption, heat generation/ absorption and homogeneous chemical reaction effects. The coupled nonlinear partial equations into ordinary differential equations by perturbation method. The effects of various parameters on flow characteristics are investigated .The results are presented through various graphs which are plotted for the effect of different parameters on fluid flow. Impact of Casson parameter leads to decrease the fluid velocity. The heavier species with low conductivity reduces the flow within the boundary layer.The Casson parameter is taken due to the significance of nonNewtonian fluids in real time applications in chemical industries and petroleum refineries.
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