THERMAL SCIENCE

International Scientific Journal

EFFECT OF FLIPPING ON FREE CONVECTIVE HEAT TRANSFER DURING MELTING OF A PHASE CHANGE MATERIAL IN CONCENTRIC HORIZONTAL ANNULI OF DIFFERENT CROSS-SECTION

ABSTRACT
Results are presented of a finite element computational study of the free convection-dominated melting of a pure phase change material contained in concentric horizontal annuli of the following configuration:
(a) Square external tube with a circular tube inside - Annulus Type A
(b) Circular external tube with a square tube inside - Annulus Type B
Effect of heating the inside wall at a temperature above the melting point of the material was studied. Flow and temperature patterns within the melt, local heat flux distributions at the heating surface and the cumulative energy charged as a function of time are presented and discussed. The effect of flipping which involves inverting the container upside-down at pre-selected times after initiation of melting as a measure to increase the heat transfer rate during the later stage of the melting process is examined and discussed. It is shown that this simple yet effective technique presents a simple way to enhance the overall melting rate, t.e., the cumulative heat storage.
PAPER SUBMITTED: 1999-02-22
PAPER REVISED: 1999-03-10
PAPER ACCEPTED: 1999-06-28
PUBLISHED ONLINE: 2020-09-27
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 1998, VOLUME 2, ISSUE Issue 2, PAGES [27 - 43]
REFERENCES
  1. Prusa,J., Yao, L.S., Melting Around a Horizontal Heated Cylinder: Part I - Perturbation and Numerical Solution for Constant Heat Flux Boundary Condition, J. Heat. Transfer, 106 (1984), pp. 376-384
  2. Rieger, H., Projahn, U., Beer, H., Analysis of the Heat Transport Mechanisms During Melting Around a Horizontal Circular Cylinder, Int. J. Heat Mass Transfer, 25 (1982), pp. 137-147
  3. Ho, C.J., Chen, S., Numerical Solution of Melting of Ice Around a Horizontal Cylinder, Int. J. Heat Mass Transfer, 29 (1986), pp. 1359-1369
  4. Rieger, H., Projahn, U., Bareiss, M., Beer, H., Heat Transfer During Melting Inside a Horizontal Tube, J. Heat Transfer, 105 (1983), pp. 226-234
  5. Ho, C.J., Viskanta, R, Heat Transfer During Inward Melting in a Horizontal Tube, Int. J. Heat Mass Transfer, 27 (1984), pp. 705-716
  6. Ng, K. W., Devahastin, S., Mujumdar, A. S., Free Convective Melting of a Phase Change Material in a Horizontal Cylindrical Annulus, Transactions TSTU, 4 (1998), pp. 40-52
  7. Voller, V. R., Prakash, C., A Fixed Grid Numerical Modelling Methodology for Convection-Diffusion Mushy Region Phase-Change Problems, Int. J. Heat Mass Transfer, 30 (1987), pp. 1709-719
  8. Brent, A. D., Voller, V. R., Reid, K. J., Enthalpy-Porosity Technique for Modelling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal, Num. Heat Transfer, 13 (1988), pp. 297-318
  9. Brooks, A. N., Hughes, T. J. R., Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations, Comp. Meth. Appl. Mech. Eng., 32 (1982), pp. 199-259
  10. Dyne, B. R., Heinrich, J. C., Physically Correct Penalty-Like Formulations for Accurate Pressure Calculation in Finite Element Algorithms of the Navier-Stokes Equations, Int. J. Num. Meth. Eng., 36 (1993), pp. 3883-3902 .
  11. Voller, V. R., Fast Implicit Finite-Difference Method for the Analysis of Phase Change Problems, Num. Heat Transfer, 17 (1990), pp. 155-169
  12. Swaminathan, C. R., Voller, V. R., On the Enthalpy Method, Int. Num. Meth. Heat Fluid Flow, 3 (1993), pp. 233-244
  13. Gong, Z. X., Time-Dependant Melting and Freezing Heat Transfer in Multiple Phase Change Materials, Ph.D. Thesis, Department of Chemical Eng., McGill University, 1997, Canada
  14. Gong, Z. X., Mujumdar, A. S., Flow and Heat Transfer in Convection-Dominated Melting in a Rectangular Cavity Heated from Below, Int. J. Heat Mass Transfer, 41 (1998), pp. 2573-2580
  15. Hale, N. W., Viskanta, R., Solid-Liquid Phase Change Heat Transfer and Interface Motion in Materials Cooled or Heated from Above or Below, int. J. Heat Mass Transfer, 23 (1980), pp. 283-292
  16. Benard, H., Tourbillions cellulaires dans une nappe liquid, Revue générale des sciences pures et appliques, 11 (1900), pp. 1309-1328
  17. Devahastin, S., Siow, S. L., Mujumdar, A. S., Effect of Inclination on Free Convective Heat Transfer During Melting of a Phase Change Material in a Rectangular Enclosure, Applied Mechanics and Engineering, 3 (1998), pp. 491-515

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence