The present study explores the influence of viscous dissipation, Joule heating, and double dispersion on unsteady, free convective magnetohydrodynamics (MHD) flow of an incompressible Casson fluid over a vertical cone and flat plate saturated with porous medium subject to variable viscosity and variable electrical conductivity. The governing coupled, nonlinear partial differential equations are solved by Crank–Nicolson method. The effects of various significant parameters on flow, heat, and mass transfer characteristics are displayed in the form of figures and tables. The results indicate that the presence of variable viscosity parameter meagerly accelerates the fluid flow. It is observed that heat transfer is enhanced for increasing the thermal dispersion parameter and Eckert number.

Issue Section:
Heat and Mass Transfer
Keywords:
Heat and mass transfer, MHD, Porous media
Topics:
Flat plates, Flow (Dynamics), Fluid dynamics, Fluids, Heat, Magnetohydrodynamics, Mass transfer, Porous materials, Viscosity, Heat transfer, Magnetic fields, Heating, Joules, Electrical conductivity, Energy dissipation

References

1.
Animasaun
,
I. L.
,
2015
, “
Effects of Thermophoresis, Variable Viscosity and Thermal Conductivity on Free Convective Heat and Mass Transfer of Non-Darcian MHD Dissipative Casson Fluid Flow With Suction and nth Order of Chemical Reaction
,”
J. Niger. Math. Soc.
,
34
(
1
), pp.
11
–
31
.
Google Scholar
Crossref
Search ADS
 
2.
Animasaun
,
I. L.
,
Adebile
,
E. A.
, and
Fagbade
,
A. I.
,
2015
, “
Casson Fluid Flow With Variable Thermo-Physical Property Along Exponentially Stretching Sheet With Suction and Exponentially Decaying Internal Heat Generation Using the Homotopy Analysis Method
,”
J. Niger. Math. Soc.
,
35
(
1
), pp.
1
–
17
.
3.
Makanda
,
G.
,
Shaw
,
S.
, and
Sibanda
,
P.
,
2015
, “
Effects of Radiation on MHD Free Convection of a Casson Fluid From a Horizontal Circular Cylinder With Partial Slip in Non-Darcy Porous Medium With Viscous Dissipation
,”
Boundary Value Probl.
, 2015:75, published online.
4.
Shit
,
G. C.
, and
Majee
,
S.
,
2015
, “
Pulsatile Flow of Blood and Heat Transfer With Variable Viscosity Under Magnetic and Vibration Environment
,”
J. Magn. Magn. Mater.
,
388
, pp.
106
–
115
.
Google Scholar
Crossref
Search ADS
 
5.
Makinde
,
O. D.
, and
Chinyoka
,
T.
,
2012
, “
Analysis of Unsteady Flow of a Variable Viscosity Reactive Fluid in a Slit With Wall Suction or Injection
,”
J. Petrol. Sci. Eng.
,
94–95
, pp.
1
–
11
.
Google Scholar
Crossref
Search ADS
 
6.
Makinde
,
O. D.
, and
Ogulu
,
A.
,
2008
, “
The Effect of Thermal Radiation on the Heat and Mass Transfer Flow of a Variable Viscosity Fluid Past a Vertical Porous Plate Permeated by a Transverse Magnetic Field
,”
Chem. Eng. Commun.
,
195
(
12
), pp.
1575
–
1584
.
Google Scholar
Crossref
Search ADS
 
7.
Barletta
,
A.
,
Celli
,
M.
,
Kuznetsov
,
A. V.
, and
Nield
,
D. A.
,
2015
, “
Unstable Forced Convection in a Plane Porous Channel With Variable-Viscosity Dissipation
,”
ASME J. Heat Transfer
,
138
(
3
), p.
032601
.
Google Scholar
Crossref
Search ADS
 
8.
Attia
,
H. A.
, and
Sayed-Ahmed
,
M. E.
,
2008
, “
Unsteady Hydromagnetic Generalized Couette Flow of a Non-Newtonian Fluid With Heat Transfer Between Parallel Porous Plates
,”
ASME J. Heat Transfer
,
130
(
11
), p.
114504
.
Google Scholar
Crossref
Search ADS
 
9.
Gireesha
,
B. J.
,
Mahanthesh
,
B.
, and
Rashidi
,
M. M.
,
2015
, “
MHD Boundary Layer Heat and Mass Transfer of a Chemically Reacting Casson Fluid Over a Permeable Stretching Surface With Non-Uniform Heat Source/Sink
,”
Int. J. Ind. Math.
,
7
(
3
), pp.
247
–
260
.
10.
Sivaraj
,
R.
, and
RushiKumar
,
B.
,
2013
, “
Viscoelastic Fluid Flow Over a Moving Vertical Cone and Flat Plate With Variable Electric Conductivity
,”
Int. J. Heat Mass Transfer
,
61
, pp.
119
–
128
.
Google Scholar
Crossref
Search ADS
 
11.
Rahman
,
M. M.
,
Aziz
,
A.
, and
Al-Lawatia
,
M. A.
,
2010
, “
Heat Transfer in Micropolar Fluid Along an Inclined Permeable Plate With Variable Fluid Properties
,”
Int. J. Therm. Sci.
,
49
(
6
), pp.
993
–
1002
.
Google Scholar
Crossref
Search ADS
 
12.
Telles
,
R. S.
, and
Trevisan
,
O. V.
,
1993
, “
Dispersion in Heat and Mass Transfer Natural Convection Along Vertical Boundaries in Porous Media
,”
Int. J. Heat Mass Transfer
,
36
(
5
), pp.
1357
–
1365
.
Google Scholar
Crossref
Search ADS
 
13.
Pranitha
,
J.
,
Suman
,
G. V.
, and
Srinivasacharya
,
D.
,
2015
, “
Effects of Double Dispersion on Mixed Convection in a Power-Law Fluid Saturated Porous Medium With Variable Properties Using Lie Scaling Group Transformations
,”
Proc. Eng.
,
127
, pp.
362
–
369
.
Google Scholar
Crossref
Search ADS
 
14.
RushiKumar
,
B.
, and
Sivaraj
,
R.
,
2013
, “
MHD Viscoelastic Fluid Non-Darcy Flow Over a Vertical Cone and a Flat Plate
,”
Int. Commun. Heat Mass Transfer
,
40
, pp.
1
–
6
.
Google Scholar
Crossref
Search ADS
 
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