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ANALYTICAL SOLUTION FOR THE SELFSIMILAR PROBLEMS OF VISCOUS FLUID FLOW
Authors:Yuan Yi-wu
Affiliation:Central-South Institute of Mining and Metallugy, Changsha
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.
Keywords:structural stability  buckling  postbuckling  cylindrical panel  higher order shear deformable shell theory  boundary layer theory of shell buckling  singular perturbation technique  
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