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Natural convection from a discrete heater in enclosures filled with a micropolar fluid. (English) Zbl 1211.76104
Summary: We numerically investigate the steady laminar natural convective flow and heat transfer of micropolar fluids in enclosures with a centrally located discrete heater in one of its sidewalls by applying a finite difference method. The other sidewall is kept at isothermal conditions, while horizontal walls are assumed to be insulated. Computations are carried out to investigate effects of the dimensionless heater length, the material parameter of the micropolar fluid, the Rayleigh number and the Prandtl number both for weak and strong concentration cases. Local results are presented in the form of streamline and isotherm plots as well as the variation of the local Nusselt number through the discrete heater. It was shown that micropolar fluids presented lower heat transfer values than those of the Newtonian fluids. An increase at the material parameter, \(K\) is shown to decrease the heat transfer. The results for \(K = 0\), which corresponds to the Newtonian fluid case is compared with those available in the existing literature and, an excellent agreement is obtained.

76R10 Free convection
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76S05 Flows in porous media; filtration; seepage
Full Text: DOI
[1] Eringen, A.C., Theory of micropolar fluids, J. math. mech., 16, 1-18, (1966) · Zbl 0145.21302
[2] Eringen, A.C., Theory of thermomicropolar fluids, J. math. anal. appl., 38, 480-496, (1972) · Zbl 0241.76012
[3] Ostrach, S., Natural convection in enclosures, J. heat transfer, 110, 1175-1190, (1988)
[4] Yang, K.T., Natural convection in enclosures, (), Chapter 13 · Zbl 0923.76307
[5] Fusegi, T.; Hyun, J.M., Laminar and transitional natural convection in an enclosure with complex and realistic conditions, Int. J. heat fluid flow, 15, 258-268, (1994)
[6] Aydin, O.; Yang, W.-J., Natural convection in enclosures with localized heating from below and symmetrical cooling from sides, Int. J. numer. meth. heat fluid flow, 10, 5, 51-529, (2000) · Zbl 1171.76444
[7] Al-Bahi, A.M.; Radhwan, A.M.; Zaki, G.M., Laminar natural convection from an isoflux discrete heater in a vertical cavity, Arabian J. sci. eng., 27, 2C, 149-164, (2002)
[8] Saeid, N.H.; Pop, I., Natural convection from a discrete heater in a square cavity filled with a porous medium, J. porous media, 8, 1, 1-9, (2005) · Zbl 1159.76382
[9] Hsu, T.-H.; Chen, C.-K., Natural convection of micropolar fluids in a rectangular enclosure, Int. J. eng. sci., 34, 4, 407-415, (1996) · Zbl 0900.76582
[10] Hsu, T.-H.; Tsai, S.-Y., Natural convection of micropolar fluids in a two-dimensional enclosure with a conductive partition, Numer. heat transfer A, 28, 69-83, (1995)
[11] Hsu, T.-H.; Hsu, P.-T.; Tsai, S.-Y., Natural convection of micropolar fluids in an enclosure with heat sources, Int. J. heat mass transfer, 40, 17, 4239-4249, (1997) · Zbl 0944.76588
[12] Guram, G.S.; Smith, C., Stagnation flows of micropolar fluids with strong and weak interactions, Comp. math. appl., 6, 213-233, (1980) · Zbl 0434.76013
[13] Jena, S.K.; Mathur, M.N., Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a nonisothermal flat plate, Int. J. eng. sci., 19, 1431-1439, (1981) · Zbl 0476.76084
[14] Peddieson, J., An application of the micropolar fluid model to the calculation of turbulent shear flow, Int. J. eng. sci., 10, 23-32, (1972)
[15] Ahmadi, G., Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite flat plate, Int. J. eng. sci., 14, 639-646, (1976) · Zbl 0329.76041
[16] Rees, D.A.S.; Pop, I., Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate, IMA J. appl. math., 61, 179-197, (1998) · Zbl 0923.76306
[17] Aydin, O.; √únal, A.; Ayhan, T., Natural convection in rectangular enclosures heated from one side and cooled from above, Int. J. heat mass transfer, 42, 2345-2355, (1999) · Zbl 1042.76557
[18] Chadwick, M.L.; Webb, B.W.; Heaton, H.S., Natural convection from two-dimensional discrete heat sources in a rectangular enclosure, Int. J. heat mass transfer, 34, 7, 1679-1693, (1991)
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