A method for studying plane steady flows of a second grade fluid is discussed. Basic equations are recast in a new curvilinear coordinate system, by employing some results from differential geometry, and the partial differential equations are derived for the coefficients E, F and G of the first fundamental form of the metric, which are taken as unknown functions. By placing certain conditions on these coefficients, a priori, flows are determined which have such a property. Some illustrations in detail are given which reflect the use of this method.
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering