Name
Title | ||
|---|---|---|
Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model |
Abstract | ||
|---|---|---|
In the present work, the exact analytic solutions for some oscillating flows of a generalized second grade fluid are investigated using Fourier sine and Laplace transforms. A more appropriate model is presented for fluid material between viscous and elastic to introduce the fractional calculus approach into the constitutive relationship. This paper employs the fractional calculus approach to study second grade fluid flows. In order to avoid lengthy calculations of residues and contour integrals, the discrete inverse Laplace transform method has been used. Similar solutions for second grade fluid appear as the limiting cases of our solutions. The influence of pertinent parameters on the flows is delineated and appropriate conclusions are drawn. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.mcm.2008.07.012 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
second grade fluid,fractional calculus approach,constitutive relationship,fractional derivative model,oscillating flow,appropriate conclusion,oscillating flows,grade fluid,exact solutions,grade fluid flow,fractional calculus,appropriate model,contour integral,exact solution,fluid material,fourier sine,oscillations,fractional derivative,fluid flow,laplace transform,analytic solution,inverse laplace transform,contour integration | Exact solutions in general relativity,Viscous liquid,Fourier analysis,Laplace transform,Mathematical analysis,Fourier transform,Viscosity,Fractional calculus,Inverse Laplace transform,Mathematics | Journal |
Volume | Issue | ISSN |
49 | 7-8 | Mathematical and Computer Modelling |
Citations | PageRank | References |
2 | 0.70 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Khan | 1 | 32 | 12.73 |
| S. Hyder Ali | 2 | 2 | 1.38 |
| Haitao Qi | 3 | 22 | 6.61 |