Regular perturbation solution of Couette flow (non-Newtonian) between two parallel porous plates: a numerical analysis with irreversibility

Abstract

The unavailability of wasted energy due to the irreversibility in the process is called the entropy generation. An irreversible process is a process in which the entropy of the system is increased. The second law of thermodynamics is used to define whether the given system is reversible or irreversible. Here, our focus is how to reduce the entropy of the system and maximize the capability of the system. There are many methods for maximizing the capacity of heat transport. The constant pressure gradient or motion of the wall can be used to increase the heat transfer rate and minimize the entropy. The objective of this study is to analyze the heat and mass transfer of an Eyring-Powell fluid in a porous channel. For this, we choose two different fluid models, namely, the plane and generalized Couette flows. The flow is generated in the channel due to a pressure gradient or with the moving of the upper lid. The present analysis shows the effects of the fluid parameters on the velocity, the temperature, the entropy generation, and the Bejan number. The nonlinear boundary value problem of the flow problem is solved with the help of the regular perturbation method. To validate the perturbation solution, a numerical solution is also obtained with the help of the built-in command NDSolve of MATHEMATICA 11.0. The velocity profile shows the shear thickening behavior via first-order Eyring-Powell parameters. It is also observed that the profile of the Bejan number has a decreasing trend against the Brinkman number. When ηi → 0(i = 1, 2, 3), the Eyring-Powell fluid is transformed into a Newtonian fluid.

Planar Couette flow of power law nanofluid with chemical reaction, nanoparticle injection and variable thermal conductivity

“…Under the aforesaid assumptions, the governing equations of the steady flow across a microchannel 28,34 with corresponding boundary conditions 6,8,9,35 have been defined as followswhere n− flow behavior index, μ− dynamic viscosity, u∗− dimensional primary velocity, g− acceleration due to gravity, ρ− density, βT− thermal expansion co-efficient, βC− concentration expansion co-efficient, T− fluid temperature, Tw− wall temperature, C− fluid concentration, Cs− total concentration of nanoparticles, Cw−…”

“…Under the aforesaid assumptions, the governing equations of the steady flow across a microchannel 28,34 with corresponding boundary conditions 6,8,9,35…”

“…The planar Couette flow in a rectangular microchannel with jump and slip boundary conditions has been analyzed by Mohamed et al 7 The Couette-Poiseuille flow of Newtonian and non-Newtonian fluid between two similar walls has been presented by Rahmat et al 8 In their work, they analyze the flow features of couple stress fluid with two different Newtonian and non-Newtonian base fluids. Nazeer et al 9 scrutinized the planar Couette and generalized Couette flow of Eyring-Powell fluid in the permeable medium. The Couette flow through an isothermal channel with constant pressure gradient has been investigated by Tushar et al 10 In their work, the mathematical model for the flow of Bingham fluid in a channel has been formulated by the generalized Newtonian fluid.…”

Thermal analysis of blood flow of Newtonian, pseudo-plastic, and dilatant fluids through an inclined wavy channel due to metachronal wave of cilia

“…Due to non-linearity in the preceding equation ( 18), an exact solution is not attainable. To find an analytical expression of temperature, we apply the perturbation approach [37][38][39][40][41][42] in this view. The solution for temperature via perturbed technique is obtained using the equation given below…”

Two-phase flow of MHD Jeffrey fluid with the suspension of tiny metallic particles incorporated with viscous dissipation and Porous Medium

“…Such type of fluids is categorized as nonlinear or non-Newtonian fluids. 1–4 The non-Newtonian fluids are further classified into three main branches, namely viscoelastic, time-dependent and time-independent. Jeffrey fluid is a famous non-Newtonian fluid that falls into the category of viscoelastic or rate type fluids.…”