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Start Over Author "Li, Da-Ming" Publisher springer science and business media llc
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2. Series perturbations approximate solutions to N-S equations and modification to asymptotic expansion matched method

Author

Gao Yong-xiang, Li Da-ming, and Zhang Hong-ping

Subjects
Asymptotic analysis, Singular perturbation, Drag coefficient, Partial differential equation, Series (mathematics), Applied Mathematics, Mechanical Engineering, Mathematical analysis, Method of matched asymptotic expansions, Physics::Fluid Dynamics, Mechanics of Materials, Boundary value problem, Asymptotic expansion, Mathematics
Abstract

A method that series perturbations approximate solutions to N-S equations with boundary conditions was discussed and adopted. Then the method was proved in which the asymptotic solutions of viscous fluid flow past a sphere were deducted. By the ameliorative asymptotic expansion matched method, the matched functions are determined easily and the ameliorative curve of drag coefficient is coincident well with measured data in the case that Reynolds number is less than or equal to 40 000.

Published
2002

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