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Free convection boundary layer flow on a horizontal circular cylinder with constant heat flux in a micropolar fluid

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Języki publikacji
EN
Abstrakty
EN
Numerical solutions for the steady laminar free convection boundary layer flow over a horizontal circular cylinder subjected to a constant surface heat flux in a micropolar fluid are presented in this paper. The governing boundary layer equations are first transformed into a non-dimensional form. These equations are then transformed into a set of nonsimilar boundary layers, which are solved numerically using a very efficient implicit finite-difference method known as the Keller-box scheme. The obtained solution for the material parameter K=0 (Newtonian fluid) and different values of the Prandtl number Pr are used to compare the accuracy of the present method with that known from the open literature. The results are shown to compare very well. The effects of various values of K on the velocity and temperature fields as well as on the wall temperature and local skin friction coefficient are presented through graphs and tables for Pr=0.72 and 1.
Rocznik
Strony
409--431
Opis fizyczny
Bibliogr. 32 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MALAYSIA
autor
  • Department of Mathematics, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MALAYSIA
autor
  • Faculty of Mathematics, University of Cluj, R-3400 Cluj, CP 253, ROMANIA
Bibliografia
  • [1] Ahmudi G. (1976): Self-similar solution of incompressible micropolar boundary layer Jlow over a semi-infinite flat plate. - Int. J. Engng. Sci., vol.14, pp.639-646.
  • [2] Arafa A.A. and Gorla R.S.R. (1992): Mixed convection boundary layer flow of a micropolar fluid along vertical cylinders and needles. - Int. J. Engng. Sci., vol.30, pp. 1745-1751.
  • [3] Ariman T., Turk M.A. and Sylvester N.D. (1973): Microcontinuum fluid mechanics - a review. - Int. J. Engng. Sci., vol. 11, pp.905-930.
  • [4] Bhattacharyya S. and Pop I. (1996): Free convection from cylinders of elliptic cross- section in micropolar fluids. - Int. J. Engng. Sci., vol.34, pp. 1301-1310.
  • [5] Cebeci T. and Bradshaw P. (1984): Physical and Computational Aspects of Convective Heat Transfer. - New York: Springer.
  • [6] Char M.-I. and Chang C.-L. (1995): Laminar free convection flow of micropolar fluids from a curved surface. - J. Phys. D: Appl. Phys., vol.28, pp. 1324-1331.
  • [7] Chiu P. and Chou H.M. (1993): - Free convection in the boundary layer flow of a micropolar fluid along a vertical wavy surface. - Acta Mechanica, vol. 101, pp.161-174.
  • [8] Chiu P. and Chou H.M. (1994): Transient analysis of natural convection along a vertical wavy surface in a micropolar fluid. - Int. J. Engng. Sci., vol.32, pp. 19-33.
  • [9] Eringen A.C. (1966): Theory of micropolar fluids. - J. Math. Mech., vol. 16, pp. 1-18.
  • [10] Eringen A.C. (1972): Theory of thermomicrofluids. - J. Math. Anal. Appl., vol.38, pp.480-496.
  • [11] Gebhart B., Jaluria Y., Mahajan R.L. and Sammakia B. (1988): Buoyancy Induced Flows and Transport. - New York: Hemisphere.
  • [12] Gorla R.S.R. (1988): Combined forced and free convection in micropolar boundary layer flow on a vertical flat plate. - Int. J. Engng. Sci., vol.26, pp.385-391.
  • [13] Gorla R.S.R. (1995): Unsteady mixed convection in micropolar boundary layer flow on a vertical plate. - Fluid Dynamics Res., vol. 15, pp.237-250.
  • [14] Gorla R.S.R., Pender R. and Eppich J. (1983): Heat transfer in micropolar boundary layer flow over a flat plate. - Int. J. Engng. Sci., vol.21, pp.791-798.
  • [15] Gorla R.S.R., Mohammedien A.A., Mansour M.A. and Hassanien I.A. (1995): Unsteady natural convection from a heated vertical plate in micropolar fluids. - Num. Heat Transfer, Part A, vol.28, pp.253-262.
  • [16] Gorla R.S.R., Slaouti A. and Takhar H.S. (1998): Free convection in micropolar fluids over a uniformly heated vertical plate. - Int. J. Num. Meth. Heat Fluid Flow, vol.8, pp.504-518.
  • [17] Hossain M.A. and Chowdhury M.K. (1998): Mixed convection flow of micropolar fluid over an isothermal plate with variable spin gradient viscosity. - Acta Mechanica, vol.131, pp. 139-151.
  • [18] Hsu P.-T., Chen C.-K. and Wang C.-C. (2000): Mixed convection of micropolar fluids along a vertical wavy surface. - Acta Mechanica, vol.144, pp.231-247.
  • [19] Ingham D.B. and Pop I. (1987): Natural convection about a heated horizontal cylinder In porous medium. - J. Fluid Mech., vol.184, pp.157-181.
  • [20] Jena S.K. and Mathur M.N. (1981): Similarity solutions for laminar free convection Jlow of a thermomicropolar fluid past a non-isothermal vertical flat plate. - Int. J. Hngng. Sci., vol.19, pp.1431-1439.
  • [21] Kumnri M. and Nath G. (1984): Unsteady incompressible boundary layer flow of a micropolar fluid at a stagnation point. - Int. J. Engng. Sci., vol.22, pp.755-768.
  • [22] Łukaszewicz G. (1999): Micropolar Fluids. Theory and Applications. - Basel: Birkhuser.
  • [23] Merkin J.H. (1976): Free convection boundary layer on an isothermal horizontal cylinder. - ASMME/AIChE Heat Transfer Conference, St. Louis, Mo., August 9-11, 1976, pp. 1-4.
  • [24] Merkin J.H. (1977): Free convection boundary layers on cylinders of elliptic cross section. - J. Heat Transfer, vol.99, pp.453-457.
  • [25] Merkin J.H. and Pop I. (1988): A note on the free convection boundary layer on a horizontal circular cylinder with constant heat flux. - Warme- und Stofflibert., vol.22, pp.79-81.
  • [26] Peddieson J. (1972): An application of the micropolar fluid model to the calculation of turbulent shear flow. - Int. J. Engng. Sci., vol. 10, pp.23-32.
  • [27] Peddieson J. and McNitt R.P. (1970): Boundary layer theory for a micropolar fluid. - Recent. Adv. Engng. Sci., vol.5, pp.405-476.
  • [28] Pop I, and Ingham D.B. (2001): Convective Heat Transfer: Mathematical and Computational Modelling of Viscous Fluids and Porous Media. - Oxford: Pirgamon.
  • [29] Rees D.A.S. and Bassom A.P. (1996): The Blasius boundary-layer flow of a micropolar fluid, - Int. J. Engng. Sci., vol.34, pp.l 13-124.
  • [30] Rees D.A.S and Pop I. (1998): Free convection boundary-layer flow of a micropolar Ihiltl pom a vertical flat plate. - IMA J. Appl. Math., vol.61, pp.179-197.
  • [31] Walicka A, (2001): Inertial effects in the flow of a micropolar fluid in a slot between hthlfhiN surfaces of revolution. - Int. J. Appl. Mech. Engng., vol.6, No.3, pp Ml-790.
  • [32] Willson A.J. (1970): Boundary layers in micropolar liquids. - Proc. Camb. Phil. Soc., vol.67, pp.469-476.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0001-0019
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