Abstract
In the present study, the effects of radiation on MHD free convection from a cylinder with partial slip in a Casson fluid in non-Darcy porous medium is investigated. The surface of the cylinder is heated under constant surface temperature with partial slip. Partial slip factors are considered on the surface for both velocity and temperature. The boundary layer equations are normalized into a system of non-similar partial differential equations and are then solved using a bi-variate quasilinearization method (BQLM). The boundary layer velocity and temperature profiles are computed for different values of the physical parameters. Increasing the Forchheimer parameter decreases the temperature profiles. The decrease of the velocity profiles with the increase in magnetic parameter is more enhanced in the presence of the velocity slip factor. Increasing the Eckert number increases the temperature profiles in both suction and blowing cases. This study considers the unique problem of the effect of transpiration in a Casson fluid in the presence of radiation, a magnetic field, and viscous dissipation. The results obtained in this study are compared with other numerical methods and were found to be in excellent agreement.
Highlights
The flow of non-Newtonian fluids is applied in many situations in industry such as processing of materials and chemical engineering
In this study we investigate the effects of radiation in MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation
3 Solution method we describe the implementation of the bi-variate quasilinearization method (BQLM) which is based on the quasilinearization method (QLM) which is described in detail in Motsa et al [ ]
Summary
The flow of non-Newtonian fluids is applied in many situations in industry such as processing of materials and chemical engineering These fluids show different characteristics from the Newtonian fluids which cannot be fully represented by the Navier-Stokes equations. Pramanik [ ] studied Casson fluid flow and heat transfer past an exponentially porous stretching surface in the presence of thermal radiation. Hayat et al [ ] studied heat and mass transfer for Soret and Dufour effects on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid. Cheng [ ] studied Soret and Dufour effects on free convection boundary layer over a vertical cylinder in a saturated porous medium. In this study we investigate the effects of radiation in MHD free convection of a Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium with viscous dissipation. The results of this work are validated by comparison with other methods, which are the successive linearization method (SLM) and MATLAB’s routine ‘bvp4c’
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