A boundary layer analysis is presented to study the effects of buoyancy-induced streamwise pressure gradients on laminar forced convection heat transfer to micropolar fluids from a horizontal semi-infinite flat plate. The transformed boundary-layer equations have been solved numerically. The effects of the buoyancy force, material parameters, and viscous dissipative heat on the friction factor, total heat transfer, displacement thickness, and wall couple stress, as well as the details of the velocity, microrotation, and temperature fields are discussed. A comparison has been made with the corresponding results for Newtonian fluids. Micropolar fluids display drag reduction and reduced heat transfer rate as compared with Newtonian fluids. Also the micropolar properties of the fluid are found to play an important role in controlling flow separation. Furthermore, it is observed that, for high values of the buoyancy and material parameters, the flow and thermal fields are significantly affected by the presence of viscous dissipation heat.

1.
Afzal
N.
, and
Hussain
T.
,
1984
, “
Mixed Convection Over Horizontal Plate
,”
International Journal of Heat Mass Transfer
, Vol.
66
, pp.
240
241
.
2.
Eringen
A. C.
,
1966
, “
Theory of Micropolar Fluids
,”
Journal Mathematics and Mechanics
, Vol.
16
, pp.
1
18
.
3.
Eringen
A. C.
,
1972
, “
Theory of Thrmomicropolar Fluids
,”
Journal of Mathematical Analysis and Applications
, Vol.
38
, pp.
480
496
.
4.
Hassanien
I. A.
, and
Gorla
R. S. R.
,
1990
, “
Mixed Convection Boundary Layer Flow of a Micropolar Fluid Near a Stagnation Point on a Horizontal Cylinder
,”
International Journal of Engineering Science
, Vol.
28
, pp.
153
161
5.
Hassanien
I. A.
,
Mansour
M. A.
, and
Gorla
R. S. R.
,
1994
, “
Combined Convection on a Vertical Slender Cylinder in a Micropolar Fluid
,”
Warme und Stoffubertragung
, Vol.
29
, pp.
355
359
.
6.
deHoog
I. R.
,
Laminger
B.
, and
Weiss
R.
,
1984
, “
A Numerical Study of Similarity Solution for Combined Forced and Free Convection
,”
Acta Mechanica
, Vol.
51
, pp.
139
149
.
7.
Hoyt, J. W., and Fabula, A. G. U. S., 1964, “The Effect of Additives on Fluid Friction,” U.S. Naval Ordinance Test Station Report.
8.
Hussain
T.
, and
Afzal
N.
,
1988
, “
Mixed Convection Boundary Layer Flow on a Horizontal Plate in a Uniform Stream
,”
International Journal of Heat Mass Transfer
, Vol.
31
, pp.
2505
2516
.
9.
Jena
S. K.
,
Mathur
M. M.
,
1981
, “
Similarity Soultions for Laminar Free Convection flow of Thermomicropolar Fluid Past a Non-isothermal Vertical Plate
,”
International Journal of Engineering Science
, Vol.
19
, pp.
1431
1439
.
10.
Liu
C. Y.
,
1970
, “
On Trbulent flow of micropolar Fluids
,”
International Journal of Engrg. Science
, Vol.
8
, pp.
457
466
.
11.
Maita
G.
,
1975
, “
Convection Heat Transfer in Micropola Fluid Flow Through a Horizontal Parallel Plate Channel
,”
Journal of Mathematics and Mechnics (ZAMM)
, Vol.
55
, pp.
85
92
.
12.
Merkin
J. H.
, and
Ingham
D. B.
,
1987
, “
Mixed Convection Similarity Solutions on a Horizontal Surface
,”
Journal of Applied Mathematics and Physics (ZAMP)
, Vol.
38
, pp.
102
115
.
13.
Mori, Y., “Buoyancy Effects in Forced Laminar Convection Flow Over a Horizontal Flat Plate,” ASME Journal Heat Transfer, Vol. 83, pp. 479–482.
14.
Mucoglu, A., and Chen, T. S., 1978, “Mixed Convection on a Horizontal Plate With Uniform Surface Heat Flux,” Proc. 6th International Journal of Heat Mass Transfer Cofrannce, Vol. 1, pp. 85–90, Hemisphere, Washington, DC.
15.
Peddiesin
J.
, and
McNitt
R. P.
,
1970
, “
Boundary-Layer Theory for Micropolar Fluid
,”
Recent Advaces in Engineering Science
, Vol.
5
, pp.
405
426
.
16.
Raju
M. S.
,
Liu
X. Q.
, and
Law
C. K.
,
1984
, “
A Formulation for Combined Forced and Free Convection Past Horizontal and Vertical Surface
,”
International Journal of Heat Mass Transfer
, Vol.
27
, pp.
2215
2224
.
17.
Riha
P.
,
1979
, “
Thory of Mixtures of Microfluids
,”
Acta Techinca, Ceskoslovenska Akademmie Ved
, Vol.
24
, pp.
389
396
.
18.
Sastry
V. U.
, and
Maiti
G.
,
1976
, “
Numerical solution of combined convection heat transfer of micropolar fluid in an annulus of Two vertical Pipes
,”
International Journal of Heat Mass Transfer
, Vol.
19
, pp.
207
211
.
19.
Schneider
W.
,
1979
, “
A Similarity Soultion for Combined Forced and Free Convection Flow Over a Horizontal Plate
,”
International Journal of Heat Mass Transfer
, Vol.
22
, pp.
1401
1406
.
20.
Schneider
W.
, and
Wasel
M. G.
,
1985
, “
Breakdown of the Boundary-Layer Approximation for Mixed Convection Above a Horizontal Plate
,”
International Journal of Heat Mass Transfer
, Vol.
28
, pp.
2307
2313
.
21.
Sparrow
E. M.
, and
Minkowycz
W. J.
,
1962
, “
Buoyancy Effects on Horizontal Boundary-Layer Flow and Heat Transfer
,”
International Journal of Heat Mass Transfer
, Vol.
5
, pp.
505
511
.
22.
Tozeren
A.
, and
Skalak
R.
,
1977
, “
Micropolar Fluid as Models for Suspensions of Rigid Spheres
,”
International Journal of Engineering Science
, Vol.
15
, pp.
511
524
.
23.
Vogel, W. M., and Patterson, A. M., 1964, “An Experimental Investigation of The Effect of Additives Injected into Boundary Layer of an Underware Body,” Pacific Naval Lab. of the Defence Research Board of Canada Report 64–2
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