"The purpose of this investigation is to determine the feasibility of applying the relaxation method of mathematical analysis to the solution of problems in rheology. The relaxation method was first introduced by R. V. Southwell who applied it to the problem of electrical conductivity. It was later used by M. W. Emmons to solve two-dimensional heat conduction problems. The steady-state flow of fluids through porous media can be difficult or impossible by the usual analytical methods even with rather simple boundary conditions. The relaxation method promises to provide an easier method of solution and to provide a means of solving some of the problems not yet solved. It is the object of this thesis to establish the feasibility of the relaxation method rather than to solve any new problem. It finds a maximum usefulness in reservoir mechanics of petroleum engineering"--Preface, page iii.
Miles, Aaron J.
Mechanical and Aerospace Engineering
M.S. in Mechanical Engineering
Missouri School of Mines and Metallurgy
vii, 41 pages
© 1949 Alexander A. Zwierzchowski, All rights reserved.
Thesis - Open Access
Petroleum engineering -- Fluid dynamics
Relaxation methods (Mathematics)
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Link to Catalog Record
Zwierzchowski, Alexander Antoine, "The application of the relaxation method to the solution of problems involving the flow of fluids through porous media" (1949). Masters Theses. 4784.