Mathematical theory of freezing for flow in porous media-Reference-Cited by-同舟云学术

Mathematical theory of freezing for flow in porous media

Published:1994-11-08 Issue:1930 Volume:447 Page:281-297
ISSN:0962-8444
Container-title:Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

It is shown that the problem of determining the equilibrium shape of bodies formed by freezing of flow in porous medium can be reduced to the Riemann problem with displacement. A solitary body and linear array of bodies are used as examples. Algorithms for determining its boundary is constructed and realized. All results are presented in the graphic form and they correspond to wide diapason of physical parameters.

Publisher

The Royal Society

Subject

General Medicine

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1994.0141

Reference23 articles.

1. Aleksandrov V. M. Sz Kovalenko E. V. 1986 Problems of the continuum mechanics with mixed boundary conditions. Moscow: Nauka. (In Russian.)

2. Birkhoff G. & Zarantonello E. H. 1957 Jets wakes and cavities. Academic Press.

3. Egorov A. G. 1993 Fluid Dynamics. (In the press.)

4. Effect of fluid flow on freezing and thawing of saturated porous media

5. Effect of seepage stream on artificial soil freezing. J. Soil;Hashemi H. T.;Engrs S M,1973

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