© MAR 2022 | IRE Journals | Volume 5 Issue 9 | ISSN: 2456-8880
IRE 1703227 ICONIC RESEARCH AND ENGINEERING JOURNALS 46
Numerical Approach to Determine the Simultaneous
Influence of Thermal Radiation and Chemical Reaction
Over MHD Stagnation-Point Flow of Sisko Nanofluid
A.A. HUSSAINI
1
, ISAH ABDULLAHI
2
, ADAMU ABDULKADIR TATA
3
, ALI MUSA
4
1, 2
Department of Mathematical Sciences, Abubakar Tafawa Balewa University, Bauchi, Nigeria.
3
Department of Mathematics and Statistics, Federal Polytechnic Bauchi, Bauchi, Nigeria
4
Department of Mathematics and Statistics, Yobe State University, Damaturu, Nigeria.
Abstract- In this research a numerical investigation
is performed to show the effects of thermal radiation
and chemical reaction on the hydro magnetic
stagnation-point flow of Sisko nanofluid over a
linearly stretching sheet by considering viscous
dissipation and Joule heating with suction/injection.
A suitable set of similarity transformations is
considered in order to convert the basic partial
differential equations into a set of coupled nonlinear
ordinary differential equations. An efficient
numerical method along with shooting technique is
involved in order to solve the reduced governing
basic equations. The influences of several emerging
physical parameters of Sisko nanofluid on the
profiles of velocity, temperature, solutal
concentration, nanoparticle volume fraction, skin
friction coefficient, Nusselt number, and Sherwood
number have been studied and analyzed in detail
through graphs and tables. It is found that the skin
friction coefficient decays more rapidly against the
material parameter of Sisko fluid. Also, it is noticed
that the Brownian motion and thermophoresis
parameter have the reverse effects on Sisko
nanofluid Sherwood number. It is analyzed that the
Nusselt number decreases with an increase in the
values of thermophoresis parameter, Brownian
motion parameter, and Eckert number, while its
value increases with material parameter and DuFour
solutal Lewis number. It is observed that the
Sherwood number has ascending behavior for
thermophoresis and, Brownian motion parameters,
whereas nanofluid Sherwood number gets amplified
with a hike in the Nano Lewis number parameter for
all the values of Brownian motion parameter.
I. INTRODUCTION
The studies on heat and mass transfer with the non-
Newtonian fluid have taken a vital role in the modern
technology and industrial applications, such as heat
exchangers, petroleum reservoirs, material process
system, molten plastic products, wall paint, food
products, lubricant oil, greases, etc. Various
mathematical models were developed in the past to
explain the characteristics of the non- Newtonian
fluids, but those may not alone describe all the
capabilities of the non-Newtonian fluids present in
nature. To overcome some of the limitations: Sisko et
al. 1958 introduced a three-parameter Sisko fluid
model, with which we can examine the cases of shear-
thinning and shear-thickening characteristics of the
fluid. Nanofluid was first employed by Choi 1955 and
is proficient in various industrial applications, such as
it can be used as a coolant in nuclear reactors and
hybrid-powered engines, microchips in computers,
and mostly used in the field of current
nanotechnologies. Other related researchers are
Macha et al, 2017, Eid et al. 2008, Mahny et al. 2018
and Jawad et al. 2019, It has been found from previous
studies that nanofluids can retain micro/millimeter-
sized particles with dimensions smaller than 100 nm.
Moreover, it may contain various types of nanoparticle
like metallic, nonmetallic, oxides, CNTs (carbon
nanotubes) or carbides, etc. With different base fluids
like ethylene glycol, water, engine oil, etc. The
addition of nanoparticles in the base fluids can boost
up the thermal conductivities of the functioning fluids.
The two important mechanisms of the nanoparticles
are the Brownian and thermophoresis behavior.
Among several non-Newtonian models, Sisko fluid
model showed awesome achievements due to its huge