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Heat and mass transfer analysis in the stagnation region of Maxwell fluid with chemical reaction over a stretched surface

[+] Author and Article Information
Tasawar Hayat

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
fmgpak@gmail.com

Muhammad Ijaz Khan

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
mikhan@math.qau.edu.pk

Maria Imtiaz

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
mi_qau@yahoo.com

Ahmed Alsaedi

Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia
aalsaedi@hotmail.com

1Corresponding author.

ASME doi:10.1115/1.4036768 History: Received August 22, 2016; Revised January 18, 2017

Abstract

A simple model of homogeneous-heterogeneous process for Maxwell fluid flow in the stagnation region over a stretched surface is constructed. It is assumed that the homogeneous process in the ambient fluid are governing by first order kinetics and the heterogeneous process on the wall surface are given by isothermal cubic autocatalator kinetics. Flow is caused by stretched surface with homogeneous-heterogeneous process. Present problem is reduced to ordinary differential equations through appropriate transformation. Resulting problems are solved for the convergent solutions. Intervals of convergence for the obtained series solutions are explicitly determined. Behavior of important variables on the physical quantities of interest are analyzed in detail. It is observed that velocity profile decreases for larger values of Deborah number.

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