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 (US) |
|---|---|
| Pages (from-to) | 229-248 |
| Number of pages | 20 |
| Journal | Nonlinear Dynamics |
| Volume | 35 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 2004 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Electrical and Electronic Engineering
- Applied Mathematics