Axisymmetric magneto-hydrodynamic (MHD) flow and heat transfer at a non-isothermal stretching cylinder

Abstract

a b s t r a c tAn investigation is made to study the effects of transverse curvature and the temperature dependent thermal conductivity on the magneto-hydrodynamic (MHD) axisymmetric flow and heat transfer characteristics of a viscous incompressible fluid induced by a nonisothermal stretching cylinder in the presence of internal heat generation/absorption. It is assumed that the cylinder is stretched in the axial direction with a linear velocity and the surface temperature of the cylinder is subjected to vary non-isothermally. Here the thermal conductivity is assumed to vary linearly with temperature. Using a similarity transformation, the governing system of partial differential equations is first transformed into coupled non-linear ordinary differential equations with variable coefficients. The resulting intricate non-linear boundary value problem is solved numerically by a second order finite difference scheme for different values of the pertinent parameters for two cases: (i) the prescribed surface temperature (PST case) and (ii) the prescribed heat flux (PHF case). Numerical results are obtained for two different cases namely, zero and nonzero values of the curvature parameter to get the effects on the velocity and temperature fields. The combined effects of the curvature parameter and the thermal conductivity parameter are examined. The physical significances of the numerical results are presented for several limiting cases.

Effects of unsteady expansion/contraction of Wang's cylinder problem with suction near a stagnation point

“…They calculated unique and dual solutions for the specific values of shrinking parameter β . K. Vajravelu et al . studied axisymmetric electrically conducting fluid flow and heat transfer of a viscous fluid induced by a non‐isothermal stretching cylinder.…”

Numerical Investigation of Thermal Radiation and Viscous Effects on Entropy Generation in Forced Convection Blood Flow over an Axisymmetric Stretching Sheet

“…Ali [20], slip effects by Wang and Ng [21], oscillation by Munawar et al [22], hydromagnetic effects by Vajravelu et al [23], permeable wall by Vajravelu et al [24], etc.…”

“…Crane's work was developed in heat transfer by Wang [16], viscous effects by Burde [17] and Ishak [18,19], stagnation point effects by Weidman and Ali [20], slip effects by Wang and Ng [21], oscillation by Munawar et al [22], hydromagnetic effects by Vajravelu et al [23], permeable wall by Vajravelu et al [24], etc.…”

Heat Transfer in an Upper Convected Maxwell Fluid with Fluid Particle Suspension

“…In these studies, the physical properties of the ambient fluid were assumed to be constant. However, it is known that these physical properties of the ambient fluid may change with temperature [26,27]. For lubricating fluids, heat generated by internal friction and the corresponding rise in the temperature affects the thermal conductivity of the fluid so it can no longer be assumed constant.…”