UNSTEADY BOUNDARY LAYER FLOW OF FRACTIONAL OLDROYD-B VISCOELASTIC FLUID PAST A MOVING PLATE IN A POROUS MEDIUM |
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| Authors: | Shurui Chen Ming Shen and Hui Chen |
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| Institution: | College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China,College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China and School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, Fujian, PR China |
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| 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 $\beta$. |
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| Keywords: | fractional derivative Oldroyd-B viscoelastic fluid porous medium moving plate |
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