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On Some Self‐Similar Flows of Non‐Newtonian Fluids through a Porous Medium
Author(s) -
Pascal H.,
Pascal F.
Publication year - 1990
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm19908211
Subject(s) - compressibility , non newtonian fluid , porous medium , herschel–bulkley fluid , mechanics , newtonian fluid , power law fluid , nonlinear system , generalized newtonian fluid , transient (computer programming) , burgers' equation , fluid dynamics , power law , physics , transient flow , thermodynamics , viscosity , porosity , mathematics , geology , geotechnical engineering , computer science , shear rate , quantum mechanics , operating system , statistics , surge , meteorology
This paper addresses the question of implications of the effects of fluid compressibility on the equations governing unsteady flows of power law fluids through a porous medium. A generalized Burgers equation is shown to arise in the flow description. Some self‐similar flows of practical interest are presented and discussed, from which the nonlinear effects associated with fluid compressibility are analyzed with regard to a better interpretation of transient pressure response in a well of non‐Newtonian displacing fluid tests.