Abstract
The heat generation effects on magnetohydrodynamic(MHD) natural convection flow along a vertical wavy surface with variable thermal conductivity have been investigated. The governing boundary layer equations are first transformed into a non-dimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines as well as the isotherms are shown graphically for a selection of parameters set consisting of thermal conductivity variation parameter, heat generation parameter Q, magnetic parameter M and Prandtl number Pr. Comparison of numerical results of present work with other published data has been shown in table.
Highlights
The effects of heat generation on magnetohydrodynamic (MHD) free convection boundary layer on various geometrical shapes such as vertical flat plate, cylinder, sphere, vertical wavy surface etc, have been studied by many investigators and it has been a very popular research topic for many years
The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines as well as the isotherms are shown graphically for a selection of parameters set consisting of thermal conductivity variation parameter, heat generation parameter Q, magnetic parameter M and Prandtl number Pr
The natural convection heat transfer from an isothermal vertical wavy surface was first studied by Yao [1] and using an extended Prantdl’s transposition theorem and a finite-difference scheme
Summary
The effects of heat generation on magnetohydrodynamic (MHD) free convection boundary layer on various geometrical shapes such as vertical flat plate, cylinder, sphere, vertical wavy surface etc, have been studied by many investigators and it has been a very popular research topic for many years. The natural convection heat transfer from an isothermal vertical wavy surface was first studied by Yao [1] and using an extended Prantdl’s transposition theorem and a finite-difference scheme. Kabir et al [6] have studied the problem of natural convection of fluid with temperature dependent viscosity along a heated vertical wavy surface. Miraj et al [12] studied conjugate effects of radiation and joule heating on magnetohydrodynamic free convection flow along a sphere with heat generation. Parveen and Alim [14] investigated Joule heating effect on magnetohydrodynamic natural convection flow along a vertical wavy surface with viscosity dependent on temperature. Hossain et al [16] investigated the natural convection flow past a permeable wedge for the fluid having temperature dependent viscosity and thermal conductivity. Numerical results have been obtained in terms of local skin friction, rate of heat transfer for a selection of relevant physical parameters are shown graphically
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