Solutions for the equations of motion of an incompressible third grade fluid are obtained by employing transformation methods. First, the hodograph transformation is applied to the equations to interchange the independent and dependent variables. Then a Legendre‐transform function is introduced and all equations are written in terms of this function and the conditions this function should satisfy are determined. Several illustrations of the method are considered and the results with the linear viscous fluid case are compared. It is noted that the results in the third grade fluid are considerably different from the corresponding results of the viscous fluid.
|Original language||English (US)|
|Number of pages||10|
|Journal||ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik|
|State||Published - 1990|
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Applied Mathematics