Convective heat transfer and MHD flow through semi-porous cylindrical filters embedded in an impermeable region

In the present study, profound applications of agriculture, industries and engineering have motivated to report an exact solution for steady incompressible axisymmetric electrically con-ducting fluid flow through a semi-porous media surrounded by an impervious cylinder. The uniqueness of this paper is to propose the effect of Joule heating by incorporating convection terms which allows to improve the flow model. Further, the non-dimensional parameters applied on equations governing the flow, takes the form of non-linear differential equations. A Differential Transform Method (DTM) is employed directly to the non-linear differential equations. A succinct solution for velocity and temperature is obtained and its variation on the fluid flow is observed for different dimensionless parameters. This is an interesting phenomenon graphically revealed by Skin-friction and Nusselt number. A good agreement is found in the current paper with certain added features by making the equations compatible and well matched with the previous work of research investigators.

Automated summary

In this study, an exact solution for steady incompressible axisymmetric electrically conducting fluid flow through a semi-porous media surrounded by an impervious cylinder is reported. The flow model is improved by incorporating convection terms to account for the effect of Joule heating. The non-dimensional parameters governing the flow are transformed using the Differential Transform Method (DTM) to obtain a concise solution for velocity and temperature, and their variations are observed for different dimensionless parameters.