Abstract
Some steady as well-as unsteady solutions of the equations of motion for an incompressible Newtonian and non-Newtonian (second-grade) fluids are obtained by applying different methods including the Lie symmetry group method. The flows considered are axially symmetric with the swirling motion, and the governing equations for second-grade fluid flow have been modeled. Expressions for streamlines, velocity and vorticity components are constructed explicitly in each case. Exact analytical solutions in second-grade fluid are obtained and compared with the corresponding viscous solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 229-248 |
| Number of pages | 20 |
| Journal | Nonlinear Dynamics |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 2004 |
| Externally published | Yes |
Keywords
- Axisymmetric cylindrical coordinates
- Inverse methods
- Non-linear equations
- Second-grade fluid
- Steady and unsteady flows
- Swirling flows
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