A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach
| Autor: | Taha Aziz, F. M. Mahomed |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | The Scientific World Journal, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 2356-6140 1537-744X |
| DOI: | 10.1155/2014/109128 |
| Popis: | 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,∞) 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|
Plný text