Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33093
Effect of Eccentricity on Conjugate Natural Convection in Vertical Eccentric Annuli
Authors: A. Jamal, M. A. I. El-Shaarawi, E. M. A. Mokheimer
Abstract:
Combined conduction-free convection heat transfer in vertical eccentric annuli is numerically investigated using a finitedifference technique. Numerical results, representing the heat transfer parameters such as annulus walls temperature, heat flux, and heat absorbed in the developing region of the annulus, are presented for a Newtonian fluid of Prandtl number 0.7, fluid-annulus radius ratio 0.5, solid-fluid thermal conductivity ratio 10, inner and outer wall dimensionless thicknesses 0.1 and 0.2, respectively, and dimensionless eccentricities 0.1, 0.3, 0.5, and 0.7. The annulus walls are subjected to thermal boundary conditions, which are obtained by heating one wall isothermally whereas keeping the other wall at inlet fluid temperature. In the present paper, the annulus heights required to achieve thermal full development for prescribed eccentricities are obtained. Furthermore, the variation in the height of thermal full development as function of the geometrical parameter, i.e., eccentricity is also investigated.Keywords: Conjugate natural convection, eccentricity, heat transfer, vertical eccentric annuli.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1083601
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2221References:
[1] E. E. Feldman, R. W. Hornbeck, and J. F. Osterle, "A numerical solution of developing temperature for laminar developing flow in eccentric annular ducts," Int. J. Heat Mass Transfer, vol. 25, no. 2, pp. 243-253, 1982.
[2] A. K. Mohanty and M. R. Dubey, "Buoyancy induced flow and heat transfer through a vertical annulus," Int. J. Heat Mass Transfer, vol. 39, no. 10, pp. 2087-2093, 1996.
[3] M. A. I. El-Shaarawi, H. I. Abualhamayel, and E. M. A. Mokheimer, "Developing laminar forced convection in eccentric annuli," Heat and Mass Transfer, vol. 33, pp. 353-362, 1998.
[4] M. A. I. El-Shaarawi and E. M. A. Mokheimer, "Developing free convection in open-ended vertical eccentric annuli with isothermal boundaries," Journal of Heat Transfer, vol. 121, pp. 63-72, 1999.
[5] E. M. A. Mokheimer and M. A. I. El-Shaarawi, "Developing mixed convection in vertical eccentric annuli," Heat and Mass Transfer, vol. 41, pp. 176-187, 2004.
[6] E. M. A. Mokheimer and M. A. I. El-Shaarawi, "Maximum possible induced flow rates in open-ended vertical eccentric annuli with uniform heat flux," International journal for Numerical Methods in Heat & Fluid Flow, vol. 15, no. 2, pp. 161-182, 2005.
[7] R. Hosseini, M. R. Heyrani-Nobari, and M. Hatam, "An experimental study of heat transfer in an open-ended vertical eccentric annulus with insulated and constant heat flux boundaries," Applied Thermal Engineering, vol. 25, pp. 1247-1257, 2005.
[8] E. M. A. Mokheimer and S. Sami, "Conditions for pressure build-up due to buoyancy effects on forced convection in vertical eccentric annuli under thermal boundary condition of first kind," Heat and Mass Transfer, vol. 43, no. 2 , pp. 175-189, 2006.
[9] E. Fattahi, M. Farhadi, and K. Sedighi, "Lattice Boltzmann simulation of natural convection heat transfer in eccentric annulus," International journal of thermal sciences, vol. 49, pp. 2353-2362, 2010.
[10] R. Hosseini, M. Alipour, and A. Gholaminejad, "Natural convection heat transfer of concentric/eccentric annulus subjected to inner tube of constant heat flux," in ASME/JSME 2011 8th Thermal Engineering Joint Conference, 2011.
[11] F. M. Mahfouz, "Heat Convection within an eccentric annulus heated at either constant wall temperature or constant heat flux," Journal of heat transfer, vol. 134, no. 8, pp. 082502 (9 pages), 2012.
[12] M. A. I. El-Shaarawi and S. A. Haider, "Critical conductivity ratio for conjugate heat transfer in eccentric annuli," International Journal of Numerical Methods for Heat & Fluid Flow, vol. 11, no. 3, pp. 255-277, 2001.
[13] M. A. I. El-Shaarawi, E. M. A. Mokheimer, and A. Jamal, "Conjugate effects on steady laminar natural convection heat transfer in vertical eccentric annuli," International Journal for Computational Methods in Engineering Science and Mechanics, vol. 6, no. 4, pp. 235-250, 2005.
[14] M. A. I. El-Shaarawi, E. M. A. Mokheimer, and A. Jamal, "Geometry effects on conjugate natural convection heat transfer in vertical eccentric annuli," International Journal of Numerical Methods for Heat & Fluid Flow, vol. 17, no. 5, pp. 461-493, 2007.
[15] A. Jamal, M. A. I. El-Shaarawi, and E. M. A. Mokheimer, "Critical conductivity ratio and wall thickness for conjugate natural convection heat transfer in vertical eccentric annuli," Numerical heat Transfer, Part A: Applications, vol. 59, pp. 719-737, 2011.
[16] W. C. Reynolds, R. E. Lundberg, and P. A. McCuen, "Heat transfer in annular passages. General formulation of the problem for arbitrary prescribed wall temperatures or heat fluxes," Int. J. Heat Mass Transfer, vol. 6, pp. 483-493, 1963.
[17] W. F. Hughes and E.W. Gaylord, Basic Equations of Engineering Science. Schaum Outline Series, 1964, pp. 150-151.
[18] A. Jamal, Conjugate free convection heat transfer in vertical eccentric annuli, MS Thesis, Mechanical Engineering Department, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Arabia, 2002, pp. 52-57.