Boundary layer analysis of variable viscosity Casson fluid over a Riga plate with Caputo fractional derivative and thermal radiation

This paper examines the thermal characteristics produced in a non-linearly variable viscosity-dependent viscoelastic Casson fluid flowing over an inclined Riga surface. The use of external magnetic or electric fields, especially via a Riga configuration, significantly improves flow dynamics by reducing frictional forces and turbulent fluctuations, thereby enabling enhanced flow control. A further characteristic of the fluid is its electrical conductivity. The mathematical formulation adheres to the conservation laws of momentum and energy expressed as partial differential equations (PDEs). The thermal features are emphasized in the presence of radiative heat flux. Similarity variables are denoted in uppercase for the conversion of partial differential equations into ordinary differential equations. The analytical solution of the established differential configuration is obtained using the Laplace transform method. The impact of flow on associated variables and distributions is presented graphically. The accelerating parameter, Hartmann number, and radiation values enhance skin friction. Table 1 shows how skin friction varies. From the result it can be observed that the Riga plate improves fluid flow, highlights its potential for enhancing magnetohydrodynamics system.