ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW

Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (9): 871-877.

ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW

袁镒吾

Central-South Institute of Mining and Metallugy, Changsha

收稿日期:1984-04-23 出版日期:1985-09-18 发布日期:1985-09-18

ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW

Yuan Yi-wu

Central-South Institute of Mining and Metallugy, Changsha

Received:1984-04-23 Online:1985-09-18 Published:1985-09-18

摘要/Abstract

摘要： This paper presents a step-by-step approximating method to obtain the analytical solutions of the differential equations for the self-similar problems of viscous fluid flow (1. 1-1. 4). Prosnak (1969) obtained solutions of these equations by using a small parameter method, but he reduced the governing equations to the linear differential equations with constant coefficients.

关键词: structural stability, buckling, postbuckling, cylindrical panel, higher order shear deformable shell theory, boundary layer theory of shell buckling, singular perturbation technique

Abstract: This paper presents a step-by-step approximating method to obtain the analytical solutions of the differential equations for the self-similar problems of viscous fluid flow (1. 1-1. 4). Prosnak (1969) obtained solutions of these equations by using a small parameter method, but he reduced the governing equations to the linear differential equations with constant coefficients.

Key words: structural stability, buckling, postbuckling, cylindrical panel, higher order shear deformable shell theory, boundary layer theory of shell buckling, singular perturbation technique

袁镒吾. ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 871-877.

Yuan Yi-wu . ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW[J]. Applied Mathematics and Mechanics (English Edition), 1985, 6(9): 871-877.

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ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW

ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW

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