Computational Study on Heat Transfer in Magnetized fluid flows

Abstract

This study explores the characteristics of fluid electrical conduction, when exposed to newlinemagnetic field (M) examining their behaviour in various geometric settings. These newlineconfigurations include flat surface undergoing linear stretching, rotating disc, cylindrical newlinesurface that is being stretched, and the region bounded by two parallel plates. Complex newlineinterplay of momentum and energy transfer within these systems controlled through set of newlinepartial differential equations (PDEs). To simplify analysis and make it more manageable, newlinesuitable similarity transformations are adopted. This process converts original PDEs into newlinea more accessible pattern of ordinary differential equations (ODEs). Finally, emerging newlinenonlinear ODEs resolve through a mathematical method that combines different newlinecomputational techniques. This study explores the characteristics of fluid electrical conduction, when exposed to newlinemagnetic field (M) examining their behaviour in various geometric settings. These newlineconfigurations include flat surface undergoing linear stretching, rotating disc, cylindrical newlinesurface that is being stretched, and the region bounded by two parallel plates. Complex newlineinterplay of momentum and energy transfer within these systems controlled through set of newlinepartial differential equations (PDEs). To simplify analysis and make it more manageable, newlinesuitable similarity transformations are adopted. This process converts original PDEs into newlinea more accessible pattern of ordinary differential equations (ODEs). Finally, emerging newlinenonlinear ODEs resolve through a mathematical method that combines different newlinecomputational techniques. newline