Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo\u2013Christov heat flux model

Muhammad Ijaz Khan,Tasawar Hayat,Muhammad Imran Khan,Muhammad Waqas,Ahmed Alsaedi

doi:10.1007/s40430-017-0915-5

Abstract

This attempt concentrates on impact of chemically reactive flow of upper-convected Maxwell liquid. Nonlinear slip condition for Maxwell fluid is employed. The processes of heat and mass transfer through theory of Cattaneo–Christov flux are studied. Ordinary differential systems have been considered. Convergent solutions are constructed for the governing equations. Incoming nonlinear modeled problems have been computed for the velocity, temperature and concentration. The impact of emerging variables, namely Deborah number (β), Schmidt number (Sc), Thermal relaxation parameter (γ), Prandtl number (Pr) and chemical reaction parameter (δ) on quantities of interest is graphically investigated. Both temperature and concentration fields decay when thermal relaxation and chemical reaction parameters are increased.

Highlights

There is a wide range of chemical reactions in nature which have widespread practical applications
It is observed that velocity f 0ðgÞ reduces with enhancement of Deborah number ðbÞ: From a physical point of view when shear stress is eliminated fluid will come to rest
This sort of phenomenon is shown in many polymeric liquids that cannot be defined in the viscous fluid model

Summary

Introduction

There is a wide range of chemical reactions in nature which have widespread practical applications. Chemical reaction and stagnation point characteristics in stratified variable thermal conductivity stretched flow of Eyring–Powell material in presence of non-Fourier heat conduction is explored by Hayat et al [20]. Thermal radiation and mixed convection effects in stagnation point slipped flow of viscous liquid is explored by Rashad et al [26]. Hayat et al [29] established numerical solutions for radiative viscous nanomaterial considering melting effects It has been found from the existing information that mostly the flow of non-Newtonian fluid in the presence of slip condition valid for viscous fluid is considered. In reality the slip conditions for viscous and non-Newtonian fluids are distinct Motivated in such fact our prime intention here was to report the slip effects in Maxwell material induced by stretchable surface. Temperature and concentration are described for meaningful discussion considering important variables

Formulation

C À C1 Cw À C1

Discussion

Closing remarks