Free convection in vertical eccentric annuli with a uniformly heated boundary

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 8, Issue 5-6, 1998, Pages 488-503

  El Shaarawi, Maged A I ^a   Mokheimer, Esmail M A ^a,b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b AIN SHAMS UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY LAYERS; DIFFERENTIAL EQUATIONS; ELECTRIC MOTORS; FINITE DIFFERENCE METHOD; HEAT FLUX; HEAT TRANSFER; HYDRODYNAMICS; LAMINAR FLOW; PROBLEM SOLVING; CHANNEL FLOW; MATHEMATICAL MODELS; PIPE FLOW; PRANDTL NUMBER;

BOUSSINESQ APPROXIMATION; PARABOLIC-FLOW ASSUMPTIONS; THERMAL BOUNDARY LAYERS; VERTICAL ECCENTRIC ANNULI;

NATURAL CONVECTION;

ALGORITHM; CONVECTION; FINITE DIFFERENCE TECHNIQUE; FLOW MODELING; MATHEMATICAL ANALYSIS;

EID: 0031623111     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615539810220243     Document Type: Article

References (18)

1. Heyda, J.F., "A Green's function solution for the case of laminar incompressible flow between non-concentric cylinders", J. Franklin Inst., Vol. 267, 1959, pp. 25-34.
2. Snyder, W.T., "An analysis of slug flow heat transfer in an eccentric annulus", A.I.Ch.E. Journal, Vol. 9 No. 4, 1963, pp. 503-6.
3. El-Saden, M.R., "Heat conduction in an eccentrically hollow, infinitely long cylinder with internal heat generation", J. Heat Transfer, Vol. 83 No. 4, 1961, pp. 510-11.
4. Snyder, W.T. and Goldstein, G.A., "An analysis of a fully developed laminar flow in an eccentric annulus", A.I.Ck.E. Journal, Vol. 11 No. 3, 1965, pp. 462-9.
5. Redberger, P.J. and Charles, M.E., "Axial laminar flow in a circular pipe containing a fixed eccentric core", The Canadian Journal of Chemical Engineering, Vol. 40, 1962, pp. 148-51.
6. Cheng, K.C. and Hwang, G.J., "Laminar forced convection in eccentric annuli", A.I.Ch.E. Journal, Vol. 14 No. 3, 1968, pp. 510-12.
7. Trombetta, M.L., " Laminar forced convection in eccentric annuli", Int. J. Heat Mass Transfer, Vol. 14, 1972, pp. 1161-72.
8. Feldman, E.E., Hornbeck, R.W. and Osterle, J.F., "A numerical solution of laminar developing flow in eccentric annular ducts", Int. J. Heat Mass Transfer, Vol. 25 No. 2, 1982, pp. 231-41.
9. Feldman, E.E., Hornbeck, R.W. and Osterle, J.F., "A numerical solution of developing temperature for laminar developing flow in eccentric annular ducts", Int. J. Heat Mass Transfer, Vol. 25 No. 2, 1982, pp. 243-53, 11 A1-10.
10. El-Shaarawi, M.A.I, and Sarhan, A., "Developing laminar free convection in an open ended vertical annulus with a rotating inner cylinder", J. Heat Transfer, Vol. 103, 1981, pp. 552-8.
11. Arabi, M., El-Shaarawi, M.A.I, and Khamis, M., "Natural convection in uniformly heated vertical annuli", Int. J. Heat Mass Transfer, Vol. 30 No. 7, 1987, pp. 1381-9.
12. El-Shaarawi, M.A.I, and Al-Nimr, M.A., "Fully developed laminar natural convection in open-ended vertical concentric annuli", Int. J. Heat and Mass Transfer, Vol. 33 No. 9, 1990, pp. 1873-84.
13. Reynolds, W.C., Lundberg, R.E. and McCuen, P.A., "Heat transfer in annular passages. General formulation of the problem for arbitrarily prescribed wall temperatures or heat fluxes", Int. J. Heat Mass Transfer, Vol. 6, 1963, pp. 483-93. Carnahan, B., Luther, H. A., and Wilkes, J. D., Applied Numerical Methods, Wiley, 1969, pp. 298-301, 450.
14. Reynolds, W.C., Lundberg, R.E. and McCuen, P.A., "Heat transfer in annular passages. General formulation of the problem for arbitrarily prescribed wall temperatures or heat fluxes", Int. J. Heat Mass Transfer, Vol. 6, 1963, pp. 483-93. Carnahan, B., Luther, H. A., and Wilkes, J. D., Applied Numerical Methods, Wiley, 1969, pp. 298-301, 450.
15. Hughes, W.F. and Gaylord, E.W., Basic Equations of Engineering Science, Schaum's outline series, McGraw Hill, New York, 1964, pp. 1-11, 151.
16. Moon, P. and Spencer, D.E., Field Theory Handbook, 2nd ed., Springer Verlag, Berlin, 1971, pp. 1-5.
17. Schlichting, H., Boundary Layer Theory, 7th ed., McGraw-Hill, New York, 1987, pp. 127-49.
18. Mokheimer, E.M.A., "Heat transfer in eccentric annuli", PhD dissertation, Mechanical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Arabia.