21 research outputs found

    Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation

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    This paper discusses the effect of viscosity and viscous dissipation (due to a high velocity gradient) on the steady flow of a viscous liquid in a symmetrically heated channel. The coupled nonlinear differential equations arising in the planar Poiseuille flow are not amendable to analytical solutions. Therefore, numerical solutions based on finite-difference scheme are presented. The effects of various flow controlling parameters such as temperature difference α, dimensionless pressure gradient, and the dimensionless viscous heating parameter δ on the dimensionless velocity and temperature are analyzed. The analysis reveals that when viscous heating parameter δ=0, we obtained zero solution for the dimensionless temperature

    Significance of non-uniform heat generation and convective boundary conditions in heat and mass transfer flow of Jeffrey fluid in the presence of Arrhenius activation energy and binary reaction

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    In this paper, an analysis is carried out to investigate the impacts of Arrhenius activation energy and binary reaction on heat and mass transfer of magnetohydrodynamic Jeffrey fluid flow in the presence of non-uniform heat generation, thermal radiation, and velocity slip. Convective boundary conditions through temperature and concentration are imposed on the surface of the stretching sheet. Also, Boussinesq approximation is put into consideration due to density difference in the fluid. The obtained results in this study are relevant in a variety of industrial and engineering processes like thermal insulation, gas turbine, polymer production, geothermal reservoirs, and many more. The governing non-linear partial differential equations together with the boundary conditions are transformed into coupled non-linear ordinary differential equations with the aid of appropriate similarity variables. The system of ODE are solved analytically via homotopy analysis method (HAM). The convergence of the series solutions is established. The influence of pertinent parameters on velocity, temperature, and concentration distributions are displayed and discussed. Furthermore, numerical values of skin-friction coefficient, local Nusselt number, and Sherwood number are tabulated for the emerging parameters. Results revealed that the temperature distribution escalate as Biot number grows. Furthermore, larger values of Prandtl number and radiation parameter diminish thermal fields
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