A novel multi fractional comparative analysis of second law analysis of MHD flow of Casson nanofluid in a porous medium with slipping and ramped wall heating

Abstract

Fractional calculus gets more attention in applied and pure science from the last two decay due to their valuable contribution. Due to extensive applications of fractional derivatives, the main aim of this article is focused on the multi fractional comparative study of entropy generation of magnetohydrodynamic (MHD) flow of Casson nanofluid with slipping and ramped wall heating effect on the plate. Set of partial differential equations forms governing equation and by using constant proportional-Caputo hybrid (CPC), Atangana-baleanu (AB) and Caputo Fabrizio (CF) fractional derivative generalized the model. Using the Laplace transform approach, a closed form of the solution is attained. Entropy production for Casson nanofluid is explored and compared using triple fractional modelled and for four different nanoparticles. Furthermore, the Bejan number is compared for the previously mentioned fractional derivatives. The graphs depict the effect of several parameters on the minimization and maximisation of multi generalised entropy generation. Instead of Atangana-baleanu and Caputo Fabrizio fractional operators, the newly proportional Caputo hybrid operator has a strong memory effect. It is concluded that CPC fractional model is more realistic then other two fractional model in case of ramped wall temperature while in case of isothermal wall temperature the results are vice versa.

Transient MHD Darcy-Forchheimer of Williamson-Casson flow with CCS: Application of wastewater treatment

“…It is characterized by yield stress, and its viscosity approaches zero at very high shear rates. Due to the many benefits of this liquid, a large number of studies have appeared that dealt with the study of this liquid, such as the study of Rasool et al, 7 Jamshid et al, 8 Dawlat et al 9,10 Among these non-Newtonian fluids is Williamson fluid, 11 which has elastic and viscous properties. In this research, researchers believe that combining Casson fluid with another non-Newtonian fluid such as Williamson fluid has the ability to effectively characterize dusty water, especially in wastewater treatment processes.…”

Thermal dynamics of a magnetized fluid containing radioactive dust particulates within a thermal channel in a sudden motion

“…Khan et al [47] investigated the behaviour of two-phase streaming of a magnetic-responsive Casson dusty fluid through a straight pipe from an entropy production viewpoint. Additional insights into entropy generation and its implications across various systems can be found in references [48][49][50][51], showcasing the breadth of research focused on understanding and optimizing entropy in flow dynamics.…”

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