REFERENCES
- G. Lame and B. P. Clapeyron , Ann. Chem. Phys. , vol. 47 , pp. 250 – 256 , 1831 .
- J. Stefan , Uber die Theorie des Eisbidung, Insbesonder uber die Eisbildung im Polarmere , J. Ann. Phys. Chem. , vol. 42 , pp. 269 – 286 , 1891 .
- M. N. Ozisik , Heat Conduction , 1st ed., chap. 10 , Wiley , New York , 1980 .
- J. Crank , How to Deal with Moving Boundaries in Thermal Problems , in R. W. Lewis, K. Morgan, and O. C. Zienkiewicz (eds.) , Numerical Methods in Heat Transfer , pp. 177 – 199 , Wiley , New York , 1981 .
- A. J. Dalhuijsen and A. Segal , Comparison of Finite Element Techniques for Solidification Problems , Int. J. Numer. Methods Eng. , vol. 23 , pp. 1807 – 1829 , 1986 .
- G. Comini , S. Del Guidice, R. W. Lewis , and O. C. Zienkiewicz , Finite Element Solution of Non-Linear Heat Conduction Problems with Special to Phase Change , Int. J. Numer. Methods Eng. , vol. 8 , pp. 613 – 624 , 1974 .
- S. E. Hibbert , N. C. Markatos , and V. R. Voller , Computer Simulation of Moving-Interface Convective Phase Change Processes , Int. J. Heat Mass Transfer , vol. 31 , pp. 1785 – 1795 , 1988 .
- R. S. Gupta and A. Kumar , Isotherm Migration Method Applied to Fusion Problems with Convective Boundary Conditions , Int. J. Numer. Methods Eng. , vol. 26 , pp. 2547 – 2558 , 1988 .
- S. S. Wei and S. I. Guceri , Solidification in Developing Pipe Flows , Int. J. Meat Fluid Flow , vol. 9 , pp. 225 – 232 , 1988 .
- M. Salcudean and Z. Abdullah , On the Numerical Modelling of Heat Transfer during Solidification Process , Int. J. Numer. Methods Eng. , vol. 25 , pp. 445 – 473 , 1986 .
- R. Bonnerot and P. Jamet , A Second Order Finite Element Method for the One-Dimensional Stefan Problem , Int. J. Numer. Methods Eng. , vol. 8 , pp. 811 – 820 , 1974 .
- K. O'Neill and D. R. Lynch , A Finite Element Solution of Freezing Problems Using a Continuously Deforming Coordinate System , in R. W. Lewis, K. Morgan, and O. C. Zienkiewicz (eds.) , Numerical Methods in Heat Transfer , pp. 215 – 231 , Wiley , New York , 1981 .
- M. R. Albert and K. O'Neill , Moving Boundary-Moving Mesh Analysis of Phase Change Using Finite Elements with Transfinite Mappings , Int. J. Numer. Methods Eng. , vol. 23 , pp. 591 – 607 , 1986 .
- M. R. Albert and K. O'Neill , 2-D Transient Freezing in a Pipe with Turbulent Flow Using a Continually Deforming Mesh with Finite Elements , Proc. 3rd Int. Conf. Numer. Methods and Thermal Problems , pp. 102 – 112 , Pineridge Press , Swansea , Seattle , 1983 .
- M. S. Sadeghipour and F. Mashaayekhi , A Finite Element Analysis of the Transient Freezing of Liquids Flowing inside Tubes , Proc. ASME 26th National Heat Transfer Conf. , HTD vol. 109 , pp. 61 – 66 , 1989 .
- M. S. Sadeghipour and K. Alborzi , Effects of Axial Conduction on the Transient Freezing of Liquids Flowing inside Tubes , in Recent Advances in Heat Transfer Proc. 1st Baltic Heat Transfer Conf., Goteborge, Sweden , pp. 771 – 782 , Elsevier , Amsterdam , 1992 .
- R. D. Zerkle and J. E. Sunderland , The Effects of Liquid Solidification in a Tube upon Laminar Flow Heat Transfer and Pressure Drop , J. Heat Transfer , vol. 90 , pp. 183 – 190 , 1968 .
- M. S. Sadeghipour , M. N. Ozisik , and J. C. Mulligan , Transient Freezing of a Liquid in a Convectively Cooled Tube , J. Heat Transfer , vol. 104 , pp. 316 – 322 , 1982 .