Received: 24 May 2018 Revised: 4 June 2018 Accepted: 4 June 2018
DOI: 10.1002/htj.21344
RESEARCH ARTICLE
Model for MHD viscoelastic nanofluid flow with
prominence effects of radiation
Azad Hussain
1
Lubna Sarwar
1
Sobia Akbar
1
M. Y. Malik
2,3
Saadia Ghafoor
1
1
Department of Mathematics, University of
Gujrat, Gujrat, India
2
Department of Mathematics, Faculty of
Science, King Abdulaziz University, Jeddah,
Saudi Arabia
3
Department of Mathematics, Quaid-I-Azam
University, Islamabad, Pakistan
Correspondence
Azad Hussain, Department of Mathematics,
University of Gujrat, Gujrat 50700, India.
Email: azad.hussain@uog.edu.pk
Abstract
Present phenomenon is dedicated to analyze the problem
of steady state flow of an incompressible fluid model per-
tained to as magnetohydrodynamics viscoelastic nanofluid
through a permeable plate. Continuity, momentum, energy,
and concentration expressions are elaborated to compre-
hend nature of the fluid flow. Numerical solutions are pre-
sented. The arising mathematical problem is governed by
interesting parameters which include viscoelastic parame-
ter, magnetic field parameter, nanofluid parameter, radia-
tion parameter, skin friction, Prandtle number, and Sher-
wood number. Solutions for the dimensionless velocity,
temperature, and concentration fields and the correspond-
ing skin friction, Nusselt number, and Sherwood number
are determined and canvassed with the help of graphs for
the distinct values of pertinent parameters.
KEYWORDS
magnetohydrodynamics, nanofluid, numerical solution, permeable plate,
radiation effects, viscoelastic fluid model
1 INTRODUCTION
Many researchers are devoting their time to study nanofluids behavior and properties for transfer of heat
phenomena. Nanofluids can be used in different engineering fields such as cooling of electronic equip-
ment, different chemical procedures, and heat exchangers. The thermophysical properties of nanofluids
are beneficial for a number of industrial sectors. It has already been seen that efficiency and performance
of the solar systems can be appreciably improved through nanoparticle working fluid. As far as literature
survey is reviewed,
1–14
researchers did remarkable work on nanofluids. Buongiorno
15
studied about
nanofluids in detail. Khanafer et al.
16
examined heat transfer increment due to adding of nanofluids
in a heated enclosure. Sebdani et al.
17
investigated nanofluids for many fluid models. Chang et al.
18
Heat Transfer—Asian Res. 2018;1–20. wileyonlinelibrary.com/journal/htj © 2018 Wiley Periodicals, Inc. 1