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| UNSTEADY BOUNDARY LAYER FLOW OF FRACTIONAL OLDROYD-B VISCOELASTIC FLUID PAST A MOVING PLATE IN A POROUS MEDIUM |
| Shurui Chen,Ming Shen,Hui Chen |
| (College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China;School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| Abstract: |
| This paper considers the unsteady boundary layer flow over a moving flat plate embedded in a porous medium with fractional Oldroyd-B viscoelastic fluid. The governing equations with mixed time-space fractional derivatives are solved numerically by using the finite difference method combined with an L1-algorithm. The effect of various physical parameters on the velocity and average skin friction are discussed and graphically illustrated in detail. Results show that the porosity $\epsilon$ and fractional derivative $\alpha$ enhance the flow of Oldroyd-B viscoelastic fluid within porous medium, but fractional derivative $\beta$ weakens the flow. Moreover, it is found that the the average skin friction coefficient rises with the increase of fractional derivative $\beta$. |
| Key words: fractional derivative; Oldroyd-B viscoelastic fluid; porous medium; moving plate |