Numerical simulations of unsteady flows in a rotating channel using a novel eigenfunction expansion method
Source abstract
Abstract
Starting flows of a viscous incompressible fluid, modeled by the time-fractional derivatives, within a rotating channel due to an impulsive pressure gradient are studied. Using the eigenfunction expansion, the analytic solutions in series form are obtained. The flow of the ordinary fluid is studied as a special case of the time-fractional problem. The convergence of series solutions is proved. In addition, using the classical analytical method, coupled with the Laplace transform and Stehfest’s algorithm, an approximate solution is found. The flow rates in x- and y-directions are determined. In the case of the ordinary fluid, the steady-state and transient components of velocities are obtained. The numerical calculations are carried out by using the Mathcad software. It is found that, for fractional fluids, the reversal flow is much attenuated if the values of the fractional parameter are less than 1.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nanofluid Flow and Heat Transfer · Fluid Dynamics and Turbulent Flows
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, The Women University Multan 1 , Multan, Punjab 66000, Pakistan
Department of Mathematics, Lahore Leads University 2 , 54000 Lahore, Pakistan
Institute of Management Sciences, The Women University Multan 3 , Multan, Punjab 66000, Pakistan
Department of Mathematics, University of Management and Technology Lahore 4 , Lahore, Punjab 54770, Pakistan
Institute of IR 4.0, National University of Malaysia 5 , 43600 Bangi, UKM, Malaysia
Department of Law, Economics and Human Sciences and Decisions Lab, University Mediterranea of Reggio Calabria 7 , 89124 Reggio Calabria, Italy
Faculty of Engineering and Natural Sciences, Bahcesehir University 6 , 34353 Istanbul, Turkey
References (30)
Show source-provided references
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