Abstract
The present work is devoted to the numerical study of laminar magnetohydrodynamic (MHD) conjugate natural convection flow from a horizontal circular cylinder taking into account Joule heating and internal heat generation. The governing equations and the associated boundary conditions for this analysis are made nondimensional forms using a set of dimensionless variables. Thus, the nondimensional governing equations are solved numerically using finite difference method with Keller box scheme. Numerical outcomes are found for different values of the magnetic parameter, conjugate conduction parameter, Prandtl number, Joule heating parameter, and heat generation parameter for the velocity and the temperature within the boundary layer as well as the skin friction coefficients and the rate of heat transfer along the surface. It is found that the skin friction increases, and heat transfer rate decreases for escalating value of Joule heating parameter and heat generation parameter. Results are presented graphically with detailed discussion.
Highlights
Two-dimensional laminar natural convection from a horizontal cylinder under various surface boundary conditions such as isothermal, uniform heat flux, and mixed boundary conditions was investigated by several researchers employing the different numerical techniques
A comparison of the local Nusselt number and the local skin friction factor obtained in the present work with M = 0.0, χ = 0.0, J = 0.0, Q = 0.0, and Pr = 1.0 and obtained by Merkin [1] and Molla et al [15] has been shown in Table 1, and it has been observed that there is an excellent agreement among these three results
MHD-conjugate natural convection flow from horizontal cylinder taking into account Joule heating in the presence of heat generation is studied
Summary
Two-dimensional laminar natural convection from a horizontal cylinder under various surface boundary conditions such as isothermal, uniform heat flux, and mixed boundary conditions was investigated by several researchers employing the different numerical techniques. Hossain [9] studied the effects of viscous dissipation and Joule heating on MHDfree convection flow with variable plate temperature He concluded that dissipative heat reduces the velocity field more in the lower Prandtl number fluid than that of the higher Prandtl number. Natural convection flow from an isothermal horizontal circular cylinder in the presence of heat generation was studied by Molla et al [15]. They found that the skin-friction coefficient increases and the Nusselt number decreases for increasing values of the heat generation parameters. MHD-conjugate natural convection flow from a horizontal circular cylinder with Joule heating in the presence of heat generation is considered. The governing equations are transformed into a nondimensional form, and the resulting nonlinear partial differential equations are solved numerically using the implicit finite difference method together with the Keller box technique [18, 19]
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