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Series perturbations approximate solutions to N-S equations and modification to asymptotic expansion matched method
- Source :
- Applied Mathematics and Mechanics. 23:963-972
- Publication Year :
- 2002
- Publisher :
- Springer Science and Business Media LLC, 2002.
-
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.
- 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
Subjects
Details
- ISSN :
- 15732754 and 02534827
- Volume :
- 23
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Mechanics
- Accession number :
- edsair.doi...........6f24ebfe9316077f4fdbfc42581c42ed