Group properties and exact solutions for two-dimensional flow of a non-newtonian fluid

Abstract

The Group Properties and the associated Lie Algebra are developed for the equations of motion of the unsteady two-dimensional flow of a non-Newtonian fluid in cartesian coordinates. Then by using the full one-parameter infinitesimal transformation group and its subgroups a number of exact solutions are obtained.

Keywords:

• Full Lie group
• Infinitesimal operator
• Non-Newtonian fluid
• AMS Subject Classifications: 22E65
• 22E70
• 35C05

Acknowledgments

The authors wish to thank David Lewis Robson , Professor at University of Science and Technology of China for his generous time in reviewing the manuscript. The project was supported by the grant NNSF of China (No. 10071080).