An incompressible flow of a non-Newtonian Spriggs fluid over an unsteady oscillating plate is investigated using the Homotopy Analysis Method (HAM). An analytic solution of sine and cosine oscillations of the plate has been obtained. The similarity transformation is introduced to reduce the governing partial differential equations into a single non-linear dimensionless partial differential equation. ; The effects of the power index of Spriggs fluid and convergence control parameter of HAM for the flow are studied extensively. The range of the convergence control parameter for convergence of series solution for different values of the power index of Spriggs fluid is obtained. The solution for a Spriggs fluid is noticeably different from the solution obtained for a Newtonian fluid. ; The influences of the shear thinning and shear thickening fluid on the velocity profile are shown graphically. The transient flow effect is higher for non-Newtonian Spriggs fluid than that of a Newtonian fluid. It is also observed that the interval to reach the steady state for the cosine case is less than the sine case. The applications of Stokes? second problem have been widely found in the variety of fields of biomedical, medical, chemical, micro and nanotechnology.
Zielona Góra: Uniwersytet Zielonogórski
IJAME, volume 24, number 2 (2019)
Biblioteka Uniwersytetu Zielonogórskiego
Jul 6, 2023
Mar 2, 2023
75
https://zbc.uz.zgora.pl/publication/78291
Edition name | Date |
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Homotopy simulation of non-newtonian spriggs fluid flow over a flat plate with oscillating motion | Jul 6, 2023 |
Sravanthi, C.S. Gorla, Rama Subba Reddy Jurczak, Paweł - red.
Vasu, B. Gorla, Rama Subba Reddy Siddiqa, Sadia Murthy, P.V.S.N. Prasad, Ramachandra V. Bég, Anwar O. Jurczak, Paweł - red.
Vasu, B. Gorla, Rama Subba Reddy Murthy, P.V.S.N. Prasad, Ramachandra V. Bég, Anwar O. Siddiqa, Sadia Jurczak, Paweł - red.
Mukhopadhyay, Swati Gorla, Rama Subba Reddy Jurczak, Paweł - red.
Mukhopadhyay, Swati Gorla, Rama Subba Reddy Jurczak, Paweł - red.
Sravanthi, C.S. Gorla, Rama Subba Reddy Jurczak, Paweł - red.
Roy, Nepal Gorla, Rama Subba Reddy Jurczak, Paweł - red.
Bhattacharyya, K. Gorla, Rama Subba Reddy Jurczak, Paweł - red.