Multi-generalized slip and ramped wall temperature effect on MHD Casson fluid: second law analysis

This paper concentrated on the multiple generalized report of entropy generation of MHD Casson fluid via Caputo–Fabrizio (CF), Caputo (C), and Atangana–Baleanu (AB) fractional derivative. The ramped wall temperature on the plate while slipping condition on fluid velocity is considered. The mathematical model is made up of a collection of partial differential equations having physical boundaries. Triple fractional definitions are used to generalize the model and solve via joint Laplace and Zakian’s numerical algorithm. The fractional results of entropy generation, velocity profile, temperature profile and Bejan number are also evaluated and compared for all three mentioned fractional operators as an objective of the present study. Entropy production can be maximize/ minimize through various physical parameters. The rate of heat transmission may be controlled by increasing the Prandtl number in isothermal temperature and boosting with the ramping wall temperature. It is indicated that Caputo model has maximum velocity and entropy generation in case of isothermal temperature besides Caputo–Fabrizio, and Atangana–Baleanu, while in case of ramped temperature, the phenomena is revised. The combined influence of slipping condition and ramped wall temperature rapidly boosts Casson fluid’s velocity and entropy generation.