Application of statistical method on thermal resistance and conductance during magnetization of fractionalized free convection flow

Thermally induced damages such as hypolimnion, metalimnion and epilimnion are usually caused by thermal stratification; due to this fact, fluid flows at a low velocity with large temperature variances. In this manuscript, thermal stratification phenomenon is discussed on the basis of fractionalized hydromagnetic free convection flow over the boundary of inclined plate. For the first time in literature, accelerated exponentially plate within generalized velocity R0E alpha(-at(alpha)) has been considered as the boundary condition at the inclined plate. The analytical solutions have been invoked for knowing the thermal resistance and conductance of heat and mass transfer. For the sake of satisfaction of boundary condition as a Mittage-Leffler function, the combined techniques of Laplace and Fourier sine transforms are treated. The fractional approach of non-singular and non-local kernel along with concept of infinite series has been utilized for knowing the optimal profiles of concentration, temperature and velocity. Our results are elucidated by means of graphical illustrations on the basis of statistical data and analytical method for the enhancement of thermal stratification.