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Numerical computation of fluid convection with air enclosed between the annuli of eccentric heated horizontal rotating cylinders. (English) Zbl 0753.76118
Summary: Numerical experiments are performed to study the effects of the convective fluid motion of air enclosed between the annuli of eccentric horizontal cylinders. The inner cylinder is assumed to be heated and rotating. The rotational Reynolds number (Re) is considered in the range 0-1120; the Rayleigh number (Ra) is considered in the range $$10^ 3- 10^ 6$$. When the inner cylinder rotates, numerical experiments show that the multicellular flow patterns observed in stationary cylindrical annuli subside in a manner dependent on the eccentricity and the rotational Re of the inner cylinder. At higher rotational Re, the flow tends toward a uniform flow. With a fixed Ra, when the inner cylinder is assumed to rotate, the mean Nusselt number decreases throughout the flow.

##### MSC:
 76M20 Finite difference methods applied to problems in fluid mechanics 76R10 Free convection 76U05 General theory of rotating fluids 80A20 Heat and mass transfer, heat flow (MSC2010)
##### Keywords:
multicellular flow patterns; uniform flow
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##### References:
 [1] Hessami, M.A.; de Vahl Davis, G.; Lenonardi, E.; Reizes, J.A., Mixed convection in vertical cylindrical annuli, Int. J. heat mass transfer, 30, 151, (1987) [2] Randriamampiania, A.P.; Bontoux, J.; Roux, B., Boundary driven flows in a rotating cylindrical annulus, Int. J. heat mass transfer, 30, 1275, (1987) [3] Ladeinde, F., Studies of thermal convection in self-gravitating and rotating horizontal cylinders in a vertical gravity field, () [4] Prud’homme, M.; Robillard, L., Natural convection in an annular fluid layer rotating at weak angular velocity, (), 38 · Zbl 0793.76084 [5] Yang, H.Q.; Yang, K.T.; Lloyd, J.R., Natural convection suppression in horizontal annuli by azimuthal baffles, Int. J. heat mass transfer, 31, 2123, (1988) [6] Yang, H.Q.; Yang, K.T.; Lloyd, J.R., Rotational effects on natural convection in a horizontal cylinder, Aiche jl, 34, 1627, (1988) [7] Singh, M.; Rajvanshi, S.C., Heat transfer between eccentric rotating cylinders, J. heat transfer, 102, 347, (1980) [8] Lee, T.S., Numerical experiments with laminar fluid convection between concentric and eccentric heated rotating cylinders, Numer. heat transfer, 7, 77, (1984) · Zbl 0557.76101 [9] Fusegi, T.; Farouk, B.; Ball, K.S., Mixed-convection flows within a horizontal concentric annulus with a heated rotating inner cylinder, Numer. heat transfer, 9, 591, (1986) [10] Gardiner, S.R.M.; Sabersky, R.H., Heat transfer in annular gap, Int. J. heat mass transfer, 21, 1459, (1978) [11] Samarskii, A.A.; Andreev, V.B., On a high accuracy difference scheme for an elliptic equation with several space variables, U.S.S.R. comput. math. phys., 3, 1373, (1963) [12] McKees, S.; Michell, A.R., Alternating direction methods for parabolic equations in two space dimensions with mixed derivatives, Computer J., 13, 81, (1970) [13] Roache, P.J., Computational fluid dynamics, (1973), Hermosa Albuquerque, NM [14] Kuehn, T.H.; Goldstein, R.J., An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders, J. fluid mech., 74, 695, (1976) · Zbl 0323.76071 [15] Kuehn, T.H.; Goldstein, R.J., An experimental study of natural convection heat transfer in concentric and eccentric horizontal cylinderical annuli, ASME jl heat transfer, 100, 635, (1978) [16] Raithby, G.D.; Hollands, K.G.T., A general method of obtaining approximate solutions to laminar and turbulent free convection problems, Adv. heat transfer, 11, 265, (1975) [17] Projahn, U.; Reiger, H.; Beer, H., Numerical analysis of laminar natural convection between concentric and eccentric cylinders, J. numer. heat transfer, 4, 131, (1981) [18] Launder, B.E.; Ying, W.M., Laminar heat transfer in rotating eccentric annuli, J. engng sci. inst. mech. engrs, 16, 306, (1974)
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