PERTURBATION SOLUTION OF COUETTE FLOW OF CASSON NANOFLUID WITH COMPOSITE POROUS MEDIUM INSIDE A VERTICAL CHANNEL

Abstract

Background Various investigations revealed that the addition of nanoparticles in base fluid enhanced the thermal transfer properties of the fluid. The accumulation of nanoparticles, having ranges (〖10〗^(-7) to 〖10〗^(-9)), in the base fluid, is termed as nanofluid. Nanoparticles have several applications in industry as nanofluid coolant, which is used to decrease the heat produced as a result of air resistance on roads. Another important procedure that is applicable to enhance the thermal performance of different instruments on an industrial scale is the use of porous media. A porous medium is any surface having pores or voids filled with some fluid. Porous media has widespread applications in productions especially for filtration processes, catalytic reactions, and distillation towers, etc. Method Couette flow of Casson nanofluid with variable viscosity and porous medium inside a vertical channel is examined in this work. We have assumed three different regions in which regions I and III are clear viscous regions while region II is the porous medium saturated region. The Tiwari and Das model is used to obtain governing equations of the existing problem and Darcy’s law is considered for porous medium. The energy equation also included viscous and Darcy dissipation terms. By using the regular perturbation technique, the results of developed dimensionless governing equations are calculated. Results On the flow characterization of the Casson nanofluid, the inspections are executed with the help of graphs for altering values of the porous parameter, Grashof number, Brinkman number, and solid volume fraction. It is examined that the Brinkman number and Grasho