Analysis of active and passive control of fluid with fractional derivative

Numerous researchers have been drawn to the rheology of non-Newtonian fluids because of their diverse uses in the engineering and manufacturing fields, such as lubrication, plastic processing, and mining. Additionally, the characteristics of magnetohydrodynamics non-Newtonian fluids permit its widespread application in computer hard drives, loudspeakers, magnetic resonance imaging, the administration of magnetic medicines, and magnetic hyperthermia. The current work is focused on the analysis of heat and mass transfer in a magnetohydrodynamics Brinkman nanofluid flows across a vertical plate because of these possible uses. The modeling also takes into account the passive and active control of the Brinkman nanofluid. Using suitable nondimensional variables, ordinary differential equations are created from the modeling equations, and the Laplace transform method is used to solve these equations. Semi-analytical solutions for temperature, concentration, and velocity are found after employing the Laplace transform approach to address the issue.

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