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Abstract

In the present paper, the natural convection flow of an Ostwalde—de Waele type power-law non-Newtonian fluid past a uniformly heated vertical slotted surface has been investigated numerically. The equations governing the flow and heat transfer are reduced to local non-similarity form. The transformed boundary-layer equations are solved numerically using implicit finite-difference method for values of ξ in the interval [0, ∞]. Solutions for heat transfer rate obtained for the rigid surface compared well with those documented in the published literature. From the present analysis, it is observed that an increase in ξ leads to increasing the skin-friction as well as reduction in heat transfer at the surface. As the power-law index n increases, the friction factor as well as the surface heat transfer increases.

Keywords

natural convection power-law fluid slotted surface boundary layer

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References

Ostrach

, ‘An analysis of laminar free convection flow and heat transfer about a flat plate parallel to the direction of the generating body force’ (1996): NACA TN. 2635.

Pera

Gebhart

, ‘Natural convection boundary layer over horizontal and slightly inclined surfaces’ Int. J. Heat Mass Transf. 16 (1973): 1131–1146.

Hasan

M. M.

Eichorn

, ‘Local nonsimilarity solution of free convection flow and heat transfer from an inclined isothermal horizontal and inclined surfaces’ ASME J. Heat Transf. 104 (1982): 637–643.

Sparrow

E. M.

Gregg

J. L.

, ‘Similar solutions for free convection from a non-isothermal vertical plate’ Trans. ASME J. Heat Transf. 80 (1958): 379–384.

Semenv

V. I.

, ‘Similar problems of steady-state laminar free convection along a non-isothermal vertical plate’ Heat Transf.-Soviet Res. 16 (1984): 69–85.

Keller

Yang

K. T.

, ‘A Gortler-type series for laminar free convection along a non-isothermal vertical flat plate’ Q. J. Mech. Appl. Math. 25 (1972): 447–457.

Kao

T. T.

Domoto

G. A.

Elrod

H. G.

, ‘Free convection along a non-isothermal vertical flat plate’ Trans. ASME J. heat Transf. 99 (1977): 72–78.

Yang

Jeng

D. R.

DeWitt

K. J.

, ‘Laminar free convection from a vertical plate with nonuniform surface conditions’ Numer. Heat Transf. 5 (1982): 165–184.

Merk

H. J.

, ‘Rapid calculation for boundary layer transfer using wedge solutions and asymptotic expansions’ J. Fluid Mech. 5 (1959): 460–480.

10.

Laplace

Arquis

, ‘Boundary layer over a slotted plate’ Eur. J. Mech. B/Fluid 17 (1998): 331–355.

11.

Beavers

G. S.

Joseph

D. D.

, ‘Boundary conditions at a naturally permeable wall’ J. Fluid Mech. 30 (1967): 197–207.

12.

Saffman

P. G.

, ‘On the boundary condition at the surface of a porous medium’ Stud. Appl. Math. 2 (1971): 93–101.

13.

Vujanovic

Status

A. M.

Djukiv

D. J.

, ‘A variational solution of the Rayleigh problem for power law non-Newtonian conducting fluid’ Ing-Arch. 41 (1972): 381–386.

14.

Schowalter

W. R.

, ‘The application of boundary layer theory to power law pseudoplastic fluids’ AIChE J. 6 (1960): 24–28.

15.

Lee

S. Y.

Ames

W. F.

, ‘Similar solutions for non-Newtonian fluids’ AIChE. 12 (1966): 700–708.

16.

Acrivos

, ‘A theoretical analysis of laminar natural convection heat transfer to non-Newtonian fluids’ AIChE J. 16 (1960): 584–590.

17.

Kawase

Ulbrecht

, ‘Approximate solution to the natural convection heat transfer from a vertical plate’ Int. Commun. Heat Mass Transf. II (1984): 143–155.

18.

Huang

M. J.

Huang

J. S.

Chou

Y. L.

Chen

C. K.

, ‘Effects of Prandtl number on free-convection heat transfer from a vertical plate to a non-Newtonian fluid’ J. Heat Transf. 111 (1989): 189–191.

19.

Keller

H. B.

, ‘Numerical methods in boundary layer theory’ Ann. Rev. Fluid Mech. 10 (1978): 417–33.

20.

Cebeci

Bradshaw

, Physical and computational aspects of convective heat transfer (New York, NY: Springer-Verlag 1984).

Natural convection flow of a non-Newtonian power-law fluid from a slotted vertical surface with uniform surface heat flux

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