Abstract

A theoretical study on the asymptotic suction/injection magnetohydrodynamic flow as a result of a uniform freestream couple stress fluid flowing over a flat surface is undertaken in the current study. It is targeted to obtain exact flow and temperature solutions representing the permeable couple stress fluid flow. Analytical expressions are extracted to derive interesting engineering tools such as momentum layer thickness, thermal layer thickness, wall shear stress, and heat transfer rate. The physical parameters leading to the existence of wall suction/injection solutions are determined with their thresholds. Momentum and thermal layer analysis from the present results clearly reveal how they are influenced by the presence of electrically conducting couple stress fluid. Further flow studies of similar kind will certainly benefit from the presented formulae.

References

1.
Srivastava
,
L. M.
,
1985
, “
Flow of Couple Stress Fluid Through Stenotic Blood Vessels
,”
J. Biomech.
,
18
(
7
), pp.
479
485
.10.1016/0021-9290(85)90662-1
2.
Stokes
,
V. K.
,
1966
, “
Couple Stresses in Fluids
,”
Phys. Fluids
,
9
(
9
), pp.
1709
1715
.10.1063/1.1761925
3.
Naduvinamani
,
N. B.
,
Hiremath
,
P. S.
, and
Gurubasavaraj
,
G.
,
2005
, “
Effects of Surface Roughness on the Couple Stress Squeeze Film Between a Sphere and a Flat Plate
,”
Tribol. Int.
,
38
(
5
), pp.
451
458
.10.1016/j.triboint.2004.09.001
4.
Srinivasacharya
,
D.
,
Srinivasacharyulu
,
N.
, and
Odelu
,
O.
,
2009
, “
Flow and Heat Transfer of Couple Stress Fluid in a Porous Channel With Expanding and Contracting Walls
,”
Int. Commun. Heat Mass Transfer
,
36
(
2
), pp.
180
185
.10.1016/j.icheatmasstransfer.2008.10.005
5.
Chinyoka
,
T.
,
2011
, “
Suction-Injection Control of Shear Banding in Non-Isothermal and Exothermic Channel Flow of Johnson-Segalman Liquids
,”
ASME J. Fluids Eng.
,
133
(
7
), p.
071205
.10.1115/1.4004363
6.
Makinde
,
O. D.
, and
Eegunjobi
,
A. S.
,
2013
, “
Entropy Generation in a Couple Stress Fluid Flow Through a Vertical Channel Filled With Saturated Porous Media
,”
Entropy
,
15
(
12
), pp.
4589
4606
.10.3390/e15114589
7.
Devakar
,
M.
,
Sreenivasu
,
D.
, and
Shankar
,
B.
,
2014
, “
Analytical Solutions of Couple Stress Fluid Flows With Slip Boundary Conditions
,”
Alexandria Eng. J.
,
53
(
3
), pp.
723
730
.10.1016/j.aej.2014.06.005
8.
Turkyilmazoglu
,
M.
,
2014
, “
Exact Solutions for Two-Dimensional Laminar Flow Over a Continuously Stretching or Shrinking Sheet in an Electrically Conducting Quiescent Couple Stress Fluid
,”
Int. J. Heat Mass Transfer
,
72
, pp.
1
8
.10.1016/j.ijheatmasstransfer.2014.01.009
9.
Shivakumara
,
I. S.
, and
Kumar
,
S. B. V.
,
2014
, “
Linear and Weakly Nonlinear Triple Diffusive Convection in a Couple Stress Fluid Layer
,”
Int. J. Heat Mass Transfer
,
68
, pp.
542
553
.10.1016/j.ijheatmasstransfer.2013.09.051
10.
Hina
,
S.
,
Mustafa
,
M.
,
Hayat
,
T.
, and
Alsaedi
,
A.
,
2015
, “
Peristaltic Flow of Couple-Stress Fluid With Heat and Mass Transfer: An Application in Biomedicine
,”
J. Mech. Med. Biol.
,
15
(
04
), p.
1550042
10.1142/S0219519415500426
11.
Srinivasacharya
,
D.
, and
Rao
,
G. M.
,
2015
, “
MHD Effect on the Couple Stress Fluid Flow Through a Bifurcated Artery
,”
Procedia Eng.
,
127
, pp.
877
884
.10.1016/j.proeng.2015.11.425
12.
Ellahi
,
R.
,
Bhatti
,
M. M.
,
Fetecau
,
C.
, and
Vafai
,
K.
,
2016
, “
Peristaltic Flow of Couple Stress Fluid in a Non-Uniform Rectangular Duct Having Compliant Walls
,”
Commun. Theor. Phys.
,
65
(
1
), pp.
66
72
.10.1088/0253-6102/65/1/66
13.
Dholey
,
S.
,
2020
, “
Effects of Transpiration on the Unsteady Separated Stagnation-Point Flow and Heat Transfer Over a Moving Porous Plate
,”
ASME J. Fluids Eng.
,
142
(
7
), p.
071301
.10.1115/1.4046165
14.
Bobke
,
A.
,
2016
, “
Simulations of Turbulent Boundary Layers With Suction and Pressure Gradients
,” Royal Institute of Technology Department of Mechanics,
Stockholm, Sweden
, pp.
1
37
, Report No.
TRITA-MEK 2016:07
.https://www.diva-portal.org/smash/get/diva2:919885/FULLTEXT01.pdf
You do not currently have access to this content.