Computational Analysis of Magnetohydrodynamic Free Convection Flow and Heat Transfer of Non-Newtonian Tangent Hyperbolic Fluid from a Horizontal Circular Cylinder with Partial Slip

Abstract

An analysis is presented for the nonlinear steady boundary layer flow and heat transfer of an incompressible tangent hyperbolic non-Newtonian fluid from horizontal circular cylinder in the presence of thermal and hydrodynamic slip condition. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely Weissenberg number $$(W_{e})$$ , power law index $$(n)$$ , velocity slip parameter $$(\hbox {S}_\mathrm{f})$$ , thermal jump parameter $$(\hbox {S}_\mathrm{T})$$ , Prandtl number (Pr), magnetic parameter $$(M)$$ and dimensionless tangential coordinate $$(\xi )$$ on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation achieved. It is observed that velocity, skin friction and heat transfer rate are reduced with increasing Weissenberg number ( $$W_{e}$$ ), whereas, temperature increases slightly. Increasing power law index ( $$n$$ ) increases velocity and heat transfer rate but decreases temperature and skin friction. An increase in $$S_{f}$$ , is observed to enhance velocity and heat transfer rate but decreases temperature and local skin friction. Whereas, increasing $$S_{T}$$ , is found to decrease velocity, temperature, skin friction and Nusselt number. The study is relevant to chemical materials processing applications.