On power-law fluids with the power-law index proportional to the pressure
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | Applied Mathematics Letters |
| Volume: | 62 |
| Year: | 2016 |
| Pages: | 118--123 |
| DOI: | 10.1016/j.aml.2016.07.007 |
| Abstract: | In this short note we study special unsteady flows of a fluid whose viscosity depends on both the pressure and the shear rate. Here we consider an interesting dependence of the viscosity on the pressure and the shear rate; a power-law of the shear rate wherein the exponent depends on the pressure. The problem is important from the perspective of fluid dynamics in that we obtain solutions to a technologically relevant problem, and also from the point of view of mathematics as the analysis of the problem rests on the theory of spaces with variable exponents. We use the theory to prove the existence of solutions to generalizations of Stokes’ first and second problem. |
| Preprint project: | MORE |
| Preprint year: | 2016 |
| Preprint number: | 37 |
| Preprint ID: | MORE/2016/37 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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