NUMERICAL SIMULATION OF TWO DIMENSIONAL TRANSIENT NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL HORIZONTAL CYLINDRICAL ANNULI
محتوى المقالة الرئيسي
الملخص
Numerical solutions are presented for the transient natural convection heat transfer problem in horizontal isothermal cylindrical annuli, enclosed in heated inner and cooled outer cylinders. Solutions for laminar case were obtained within Grashof number based on the inner diameter which varied from 1x102 to 1x105 in air. Both vorticity and energy equations were solved using alternating direction implicit (ADI) method and stream function equation by successive over relaxation (SOR) method. The structure of fluid flow such as a velocity vector and temperature distribution as well as Nusselt number were obtained and the effect of diameter ratio on them is examined. In addition, the Grashof number was changed with the influence of variation Prandtle number and diameter ratio. Our numerical calculation are summarized by Nussult number vs. Grashof number curves with diameter ratios and prandtl as a parameter, which serves as a guide to natural convection heat transfer calculated from annulus. Good agreement with previous data were obtained.
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المراجع
Abbott M. R. (1964).", A numerical method for solving the equations of natural convection in a
narrow concentric cylindrical annulus with a horizontal axis", Q. JI Mech. Appl. Math, pp 471-
, 1964.
Bishop, E. H. and Carely, C. T. (1966,)."Photographics studies of natural convection between
concentric cylinders, Proc Heat Transfer Fluid Mech. Inst. Pp63-78, 1966.
Bishop, E. H., Carley, C. T. and Powe, R. E. (,1968). " Natural convection oscllatoryoscillatory
flow in cylindercalcylindrical annuli".,Int. J. Heat Mass Transfer,11,pp. 1741-1752,1968..
Charrier-Mojtabi M.C, A.Mojtabi A.and J.P Caltagirone J.P(1979, ). "Numerical solution of a
flow due to natural convection in hoporizontal cylindrical annulus", J.Heat Transfer 101,171-
(1979).
Chun-Yen .Chow, Jone Wilely and sons, (1979)."An Introduction to computational fluid
mechanics". McGraw-Hill, 2nd Edition, 1979.
Crawford, L. and R . Lemlich R, ( 1962)."Natural convection in horizontal concentric
cylindrical annuli"., IEC Fundamental (4), pp 260-264, 1962.
Eckert, E. R. G. and Soehngen, E. E. , (19 )."Studied on heat transfer in laminar free convection
with the Zehnder-Mach interferometer". Wright. Patterson AFB Tech. Rep., no. 5747,
ATI44580.
Gerald C. F, (1970). "Applied numerical analysis" , Addison-Wesley publishing company,
Grigull, U. and Hauf. W., (1966). "Natural convection in horizontal cylindrical annuli", 3rd Int.
Heat Transfer Conf., Chicago, pp. 182-195, 1966.
Han C. Y. and S. W. Baek S. W., ( 1999)."Natural convection phenomena affected by radiation
in concentric and eccentric horizontal cylindrical annuli, Numerical Heat Transfer, Part A, 36:
pp 473-488, 1999.
Hodnett P. F., (1973). "Natural convection between horizontal heated concentric circle
cylinders", Z. Angew. Math Phys. 24, pp 507-516, 1973..
Kuehn T. H. and R.J. Goldstein R.J. (1976). ", Correlationg equations for natural convection
heat transfer between horizontal circular cylinders". Int. J. Heat Transfer 19, 1127-1134(1976).
Kuehn T.H. and R. J. Goldstein R. J (1978)., "An experimental and theoretical study of natural
convection in the annulus between horizontal concentric cylinders"., J.Fluid Mech.4, 695-
(1978).
Lis, J. (1966). "Experimental investigation of natural convection heat transfer in simple and
obstructed horizontal annuli, ". 2nd Int. Heat Transfer Conf., Chicago, pp. 196-204, 1966.
Liu, C. Y., Mueller, W. K. ad Landis, F,(1961).," Natural convection heat transfer in simple and
obstructed horizontal annuli", Int. Developments in Heat Transfer, A.S.M.E. pp976-984.,1961.
Liu, C. Y., Mueller, W. K. and Lands, F.(1962). ", Natural convection heat transfer in long
horizontal cylinder annuli"., Int Development in Heat Transfer, A.S.M.E., pp. 976-984.
Mack L. R. and E. H. Bishop E. H.(1968), "Natural convection between horizontal concentric
cylindrical for low Rayleigh numbers" , Q. JI Mech, Appl. Math, pp 223-241, 1968.
Pederson, B. O., Doepken, H. C. and Bolin, P. C., (1971). "Development of a compressed-gas
insulated transmission line". I. E. E. E. Winter Poer MKetting, paper 71 TP 193-PWR, 1971.
Pow, R. E., Carley, C. T. and Bishop, E. H., (1969). "Free convection flow patterns in
cylindrical annuli, " J. Heat Transfer, 91, pp. 310-314, 1969.
Powe R. E., C. T. Carley C. T.(1971) and S. L., "A numerical solution for natural convection in
cylindrical annuli"., J. Heat Transfer 93, pp 210-220, 1971.
Torrance K.E.(1985), "Numerical method Heat Transfer, Handbook of Heat Transfer
Fundamentals"., McGraw-Hill, 2nd Edition.
Tsui Y.T. and B. Trembaly B.(1983), "On Transient Natural Convection Heat Transfer in the
Annulus between Convective, Horizontal Cylinders with Isothermal Surfaces", Int.J. Heat and
Mass Transfer, Vol.27, No.1, pp.103-111, 1983.