Analysis of nonlinear stratified convective flow of Powell-Eyring fluid: Application of modern diffusion

Iffat Jabeen,Muhammad Farooq,Shakeel Ahmad,Muhammad Rizwan,Roman Ullah

doi:10.1177/1687814020959568

Abstract

The stratification phenomena have great importance in fishery management, insufficiency of dissolved oxygen in the lower parts of lakes, rivers and ponds, and phytoplankton populations. Thus the present article examines vital role of stratification phenomena in Powell-Eyring fluid flow due to inclined sheet which is stretched in a linear way. Collaboration of Cattaneo-Christov heat and mass flux model instead of Fourier Law of heat conduction is also accounted. Interpretation of heat transport is carried out with heat generation/absorption. Thermal stratification supports heat transport. Chemical reaction and solutal stratification also helped out mass transport. Non-linear governing equations with partial derivatives are converted into ordinary differential equation with the help of similarity transformations. Homotopic method is applied to solve arising dimensionless governing equations. Pertinent parameters and their physical behavior are displayed graphically. Drag force coefficient is also examined graphically. In culmination, substantial parameters of radiation and heat generation/absorption raised the temperature field while thermal relaxation time and solutal relaxation time parameters lower the temperature and concentration fields, respectively.

Highlights

There are very useful applications of heat transfer phenomena like heat conduction in tissues and drugs, cooling in nuclear reactor etc
It justifies that dominant Prandtl number results in low thermal diffusivity which is responsible for low temperature distribution
Concentration field enhances for dominant values of destructive chemical reaction

Summary

Introduction

There are very useful applications of heat transfer phenomena like heat conduction in tissues and drugs, cooling in nuclear reactor etc. Hayat et al.[10] have applied non-Fourier heat flux theory on Powell-Eyring fluid flow. Rehman et al.[12] considered inclined stretching cylinder for the analysis of Powell-Eyring fluid flow with heat generation/absorption. F 0(0) = 1, f (0) = 0, u(0) = 1 À S1, u(0) = 1 À S2, f 0(‘) = 0, u(‘) = 0, u(‘) = 0, ð10Þ f0ðjÞ = 1 À exp (Àj), ð15Þ u0ðjÞ = (1 À S1) exp (Àj), ð16Þ where R is radiation parameter Sc represents Schmidt number, d1 is heat generation/absorption parameter, Pr u0ðjÞ = (1 À S2) exp (Àj), ð17Þ indicates Prandtl number, e, d material parameters,kr Supporting linear operators are: chemical reaction parameter, l thermal buoyancy parameter, bs thermal relaxation time parameter, S2 represent stratified parameter (solutal), S1 indicates thermal. It is clear from the Figure (1), the ranges provided by auxiliary parameters (hf , hu, hf) are À1:8 ł hf ł À 0:1, À1:5 ł hu ł À 0:1, and À1:8 ł hf ł À 0:7, where the h À curves give horizontal plot, indicated as convergence region for series solution

Discussion

Summary