Spreadsheet numerical simulation for developing laminar free convection between vertical parallel plates

Computer Methods in Applied Mechanics and Engineering

Volumn 178, Issue 3-4, 1999, Pages 393-412

  Mokheimer, Esmail M A ^a  

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

Author keywords

Boundary layers; Finite difference methods; Numerical solution procedures; Viscous flow

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY LAYERS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; FORTRAN (PROGRAMMING LANGUAGE); ITERATIVE METHODS; NUSSELT NUMBER; PLATES (STRUCTURAL COMPONENTS); PROBLEM SOLVING; SPREADSHEETS; VISCOUS FLOW;

LAMINAR FREE CONVECTION;

NATURAL CONVECTION;

CONVECTIVE BOUNDARY LAYER; FINITE DIFFERENCE TECHNIQUE; VISCOUS FLOW;

EID: 0033520078     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00028-6     Document Type: Article

References (26)

1. J.P. Hartreh, T.F. Irvine, Advances in Heat Transfer, vol. 20, Academic Press, San Diego, CA, 1990.
2. Aung W., Kessler T.J., Beitin K.I. Free convection cooling of electronic systems. IEEE Trans. Parts Hybrids and Packaging. 9(2):1973;75.
3. Aung W. Heat transfer in electronic systems with emphasis on asymmetric heating. Bell systems Technical Journal. 52:1973;907.
4. Aung W., Worku G. Developing flow and flow reversal in a vertical channel with asymmetric wall temperatures. ASME J. Heat Transfer. 108:1986;299.
5. Elenbaas W. Heat dissipation of parallel plates by free convection. Physica. 9(1):1942;1.
6. S. Ostrach, Laminar convection flow and heat transfer of fluids with and without heat sources in channels with constant wall temperatures, NACA Tech. Note No. 2863, 1952.
7. S. Ostrach, cobined natural and forced convection laminar flow and heat transfer of fluids with and without heat sources in channels with linearly varying wall temperatures, NACA Tech. Note No. 3141, 1954.
8. Bodoia J.R., Osterle J.F. The development of free convection between heated vertical plates. ASME J. Heat Transfer. 84:1962;40.
9. La Pica A., Rodono G., Volpes R. An experimental investigatio on natural convection of air in a vertical channel. Int. J. Heat Mass Transfer. 36(3):1993;611.
10. Guo Z.-Y., Wu X.-B. Thermal drag and critical heat flux for natural convection of air in vertical parallel plates. ASME J. Heat Transfer. 115:1993;124.
11. Butch Bornt P.E. Spreadsheets for heat loss rates and temperature. Chem. Eng. 1995;107.
12. Alberto R. Use a spreadsheet for preliminary reactor design. Chem. Eng. Prog. 1993;68.
13. Tontiwachwuthikul P., Meisen A., Lim C.J. Modeling gas absorption with chemical reaction using a LOTUS 1-2-3 spreadsheet. Gas Separation Technology. 1989;83.
14. Lam C.Y. Simulation of the three-dimensional Laplace equation on an interactive three dimensional spreadsheet. Internat. J. Comput. Appl. Technol. 9:1996;259.
15. Mokheimer E.M.A., Antar M.A., Farooqi J., Zubair S.M. Analytical and numerical solution along with PC spreadsheet modeling for a composite fin. Heat and Mass Transfer. 32:1997;229.
16. Jeffrey E. A methodology and turorial for thermal modeling with PC spreadsheets. Heat Transfer Eng. 8(2):1987;95.
17. James B., Rossi M. Two dimensional transient heat conduction analysis using spreadsheets. Heat Transfer Eng. 13(2):1991;71.
18. Kharab A. Use of a spreadsheet program in a two dimensional heat conduction problem. Comput. Meth. Appl. Mech. Eng. 122:1995;173.
19. Shah B.V. Solving Fluid problems with spreadsheets. Hydrocarbon Processing. 1989;85.
20. Reynolds W., Lundberg R.E., McCuen P.A. Heat transfer in annular passages. General formulation of the problem for arbitrarily prescribed wall temperatures or heat fluxes. Internat. J. Heat Mass Transfer. 6:1963;483.
21. E.W. Cheney, R.D. Kincaid, Numerical Mathematics and Computing, 3rd ed., Brooks/Cole Publishing Company, Pacific Grove, CA, 1994.
22. O. Miyatake, T. Fujii, Free convection heat transfer between vertical parallel plates-one is isothermally heated and the other is thermally insulated, KAGAKU KOGAKU, Society of Chemical Engineering's, Japan 36 (1972) 405-412.
23. Carnahan B., Luther H.A., Wilkes J.D. Appl. Numer. Meth. 1969;Wiley, New York.
24. E.M.A. Mokheimer, Heat transfer in eccentric annuli, Ph.D. dissertation, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, 1995.
25. El-Shaarawi M.A.I., El-Nimer M.A. Fully developed natural convection in open-ended vertical concentric annuli. Internat. J. Heat Mass Transfer. 33(9):1990;1873.
26. E.E. Feldman, The numerical solution of the combined thermal and hydrodynamic entrance region of eccentric annulus, Ph.D. dissertation, Carnegie Mellon University, Pittsburgh, PA, USA, 1974.