Boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness. (English) Zbl 1460.76028
Summary: A novel investigation about the boundary layer flow of fractional Maxwell fluid over a stretching sheet with variable thickness is presented. By introducing new variables, the irregular boundary changes as a regular one. Solutions of the governing equations are obtained numerically where the L1-scheme is applied. Dynamic characteristics with the effects of different parameters are shown by graphical illustrations. Three kinds of distributions versus power law parameter are presented, including monotonically increasing in nearly linear form at \(y =1\), increasing at first and then decreasing at \(y =1.4\) and monotonically decreasing in nearly linear form at \(y =2\).
MSC:
| 76A10 | Viscoelastic fluids |
| 76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 26A33 | Fractional derivatives and integrals |
Keywords:
fractional derivative constitutive equation; boundary layer approximation; finite difference schemeReferences:
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