DUAL SOLUTION OF A JEFFREY FLUID BOUNDARY LAYER FLOW ACROSS A STRETCHING/SHRINKING SHEET EMBEDDED IN A POROUS MEDIUM

Abstract

Heat transfer is very important factor to consider in heat exchangers, electric coolers, solar collectors, and nuclear reactors. The use of an appropriate non-Newtonian fluid as an active liquid can accelerate heat transfer. We explored the typical Jeffery fluid stream past a plane with both scenario with a magnetic field, non-uniform heat source/sink, and a porous medium in this regard. With the relevant method, the constrained non-linear differential equation of the flow field is rehabilitated into nonlinear differential equations with convenient transformations. These enormously nonlinear systems are solved by the Runge-Kutta 4th-order method in aggregation with an efficient shooting method. Effects of physical parameters like, Pr - “Prandtl number”, -“thermal stratification”. - “Jeffery Parameter”, - “Porous Parameter” M - “Magnetic field” and “heat generation / absorpton”-   and “a &b are non-uniform heat source” on  and  (velocity profile & temperature profile) have been discussed graphically. The density of the boundary layer is discussed in both the cases as shrinking and stretching. According to our findings, it is detected that for higher values in “  thermal stratification parameter led to enhance in fluid velocity as well as temperature profile, whereas, in the case of the heat source/sink parameters, the opposite impact is detected. In the assessment of the results with the experimental data from the literature, a reasonable agreement between them is found. From the results, it is concluded that the fluid flow over a stretching/shrinking sheet in a porous media can be studied in terms of hydromagnetic characteristics using the model that has been described.

Keywords: Dual solution, Porous medium, Thermal Stratification, Jeffery parameter, stretching/shrinking sheet.