Heat transport magnetization for Burgers fluid in a porous medium with convective heating and heterogeneous-homogeneous response

Abstract

Many technical applications exist for porous material. In this paper, a new mathematical model for the Burgers fluid, which is sustained in the presence of porous material, is presented. The thermal energy transmission characteristics are investigated utilizing a heat source related to temperature. The homogeneous-heterogeneous reactions in the current work will demonstrate the characteristics of fluid concentration scrutiny. The similarity transformations are used to transform the system of partial differential equations (PDEs) into ordinary differential equations (ODEs). By introducing the ideas of the fourth and fifth Runge-Kutta-Fehlberg methods, developed ODEs are solved. The graphs demonstrate that the results are relevant. According to the relaxation time factor, the Burger's fluid properties thermal distribution is reduced by the relaxation time parameter. The behavior of the Biot number and retardation time factor is evaluated by comparing them to that of the material component of the Burgers fluid. Data utilizing the heterogeneous response will rise with a larger magnitude since the homogeneous strength response is diminished by the fluid concentration rate. When the porosity parameter increases, the velocity distribution decreases. The current findings are contrasted with published work as special examples in order to ensure accuracy and validity.