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ISSN Online: 2377-424X

International Heat Transfer Conference 4
August 31 - September 5, 1970, Paris-Versailles, France

NUMERICAL SOLUTION OF A NONLINEAR FREE BOUNDARY PROBLEM OF AXISYMMETRIC FLUID FLOW IN TUBES WITH SURFACE SOLIDIFICATION

Get access (open in a dialog) DOI: 10.1615/IHTC4.1550
pages 1-11

Resumo

A numerical solution is presented to a nonlinear, two-dimensional free boundary problem of axisymmetric fluid flow in tubes with surface solidification, The solution is based on the finite difference equations of continuity, motion, and energy; and on the Lagrange interpolation equations at the free boundary. Results are compared- with available approximate analytical solutions. The agreement is of the order of 10 to 40%. Special effects, such as viscous dissipation, axial viscous shear, axial conduction, and discontinuity in mass densities are also evaluated quantitatively.