期刊
SCIENTIFIC WORLD JOURNAL
卷 -, 期 -, 页码 -出版社
HINDAWI PUBLISHING CORP
DOI: 10.1155/2014/109128
关键词
-
资金
- National Research Foundation (NRF) of South Africa
- School of Computational and Applied Mathematics
- Financial Aid and Scholarships Office, University of the Witwatersrand
In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations. We obtain some simple closed-form steady-state solutions of these reduced equations. Our solutions are valid for the whole domain [0,infinity) and also satisfy the physical boundary conditions. We also present the numerical solutions for some of the underlying equations. The graphs corresponding to the essential physical parameters of the flow are presented and discussed.
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