NUMERICAL ALGORITHM FOR PROBLEMS INVOLVING BOILING AND NATURAL CONVECTION IN POROUS MATERIALS

REFERENCES

• K. E. Torrance , , Boiling in Porous Media , ASME/JSME Thermal Eng. Joint Conf. Proc , vol. 2 , pp. 593 – 606 , 1983 .
   Google Scholar
• A. P. Ezerskii , , Methods for Solving Convection and Heat Transfer Problems in Regions with Boundaries That Vary in Form over Time , J. Eng. Phys . ( USSR ), vol. 48 , pp. 555 – 559 , 1985 .
   Google Scholar
• M. Okada , , Analysis of Heat Transfer during Melting from a Vertical Wall , Int. J. Heat Mass Transfer , vol. 27 , pp. 2057 – 2066 , 1984 .
   Web of Science ®Google Scholar
• C. J. Ho , and R. Viskanta , , Heat Transfer during Melting from an Isothermal Wall , J. Heat Transfer , vol. 106 , pp. 12 – 19 , 1984 .
   Web of Science ®Google Scholar
• B. W. Webb , and R. Viskanta , , Analysis of Heat Transfer during Melting of a Pure Metal from an Isothermal Vertical Wall , Numer. Heat Transfer , vol. 9 , pp. 539 – 558 , 1986 .
   Web of Science ®Google Scholar
• E. M. Sparrow , , S. V. Patankar , , and S. Ramadhyani , , Analysis of Melting in the Presence of Natural Convection in the Melt Region , J. Heal Transfer , vol. 99 , pp. 520 – 526 , 1977 .
   Web of Science ®Google Scholar
• E. M. Sparrow , and Y. Ohkubo , , Numerical Analysis of Two-dimensional Transient Freezing Including Solid-Phase and Tube Wall Conduction and Liquid-Phase Natural Convection , Numer. Heat Transfer , vol. 9 , pp. 59 – 77 , 1986 .
   Web of Science ®Google Scholar
• C. F. Hsu , , E. M. Sparrow , , and S. V. Patankar , , Numerical Solution of Moving Boundary Problems by Boundary Immobilization and a Control-Volume-based Finite-Difference Scheme , Int. J. Heat Mass Transfer , vol. 24 , pp. 1335 – 1343 , 1981 .
   Web of Science ®Google Scholar
• D. W. Peaceman , , Numerical Solution of Non-linear Equations for Two-Phase Flow through Porous Media , in W. F. Ames (ed.) . Non-linear Partial Differential Equations , pp. 171 – 191 , Academic Press , New York , 1969 .
   Google Scholar
• K. Morgan , , R. W. Lewis , , and P. M. Roberts , , Solution of Two-Phase Flow Problems in Porous Media via an Alternating Direction Finite Element Method , Appl. Math Model ., vol. 8 , pp. 391 – 396 , 1984 .
   Web of Science ®Google Scholar
• J. Douglas , A Numerical Method for the Solution of a Parabolic System , Numer. Math ., vol. 2 , pp. 91 – 98 , 1960 .
   Google Scholar
• P. S. Ramesh , , A One-dimensional Study of Boiling Heat Transfer in Low-permeability , Water-saturated Porous Media , M.S. thesis , Cornell University , Ithaca , N.Y ., 1986 .
   Google Scholar
• T. J. Lasseter , , The Numerical Simulation of Heat and Mass Transfer in Multidimensional Two-Phase Geothermal Reservoirs , ASME Paper , 75-WA/HT-71 , 1975 .
   Google Scholar
• C. R. Faust , and J. W. Mercer , , Finite Difference Model of Two-dimensional Single- and Two-Phase Heat Transport in a Porous Medium Version I, U.S. Geological Survey Open-File Rept . 77 – 234 , 1977 .
   Google Scholar
• R. M. Toronyi , and S. M. FarouqAli , , Two-Phase Two-dimensional Simulation of a Geothermal Reservoir , SPEJ. , vol. 17 , pp. 171 – 183 , 1977 .
   Google Scholar
• S. V. Patankar , , Numerical Heat Transfer and Fluid Flow , chap. 5, Hemisphere , Washington , D.C ., 1980 .
   Google Scholar
• C. Kamath , and A. Sameh , , The Preconditioned Conjugate Gradient Algorithm on a Multiprocessor , in R. Vichnevetsky and R. S. Stepleman (eds.) . Advances in Computer Methods for Partial Differential Equations , vol. 5 , pp. 210 – 217 , IMACS, Dept. of Computer Science, Rutgers University , New Brunswick , NJ , 1984 .
   Google Scholar
• P. S. Ramesh , and K. E. Torrance , , A Numerical Algorithm for Problems Involving Boiling and Natural Convection in a Porous Medium , Sibley School of Mechanical and Aerospace Engineering, Cornell University Rept . E- 88 – 06 , Ithaca , N.Y ., 1988 .
   Google Scholar
• J. Gary , and D. R. Kassoy , , Computation of Steady and Oscillatory Convection in Saturated Porous Media , J. Comput. Phys ., vol. 40 , pp. 120 – 142 , 1981 .
   Web of Science ®Google Scholar