Analysis of MHD Couette flow by fractal-fractional differential operators

Ali Akgül and Imran Siddique

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: In this paper, an analysis is carried out to study the MHD Couette flow (flow between two parallel plates such that the upper plate is moving with constant velocity while the lower plate is at rest) for an incompressible viscous fluid under isothermal conditions. The governing equations are developed from the problem, formulated with the recently presented fractal-fractional operators in Riemann–Liouville sense with power law, exponential decay and the Mittag–Leffler law kernels. For each operator, we present a comprehensive analysis including, the numerical solutions, stability analysis and error analysis. We apply very accurate method to get the desired results. We demonstrate the numerical simulations to prove the efficiency of the proposed method.

Keywords: Fractal-fractional derivative; MHD Couette flow; Numerical simulations; Stability analysis (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002460

DOI: 10.1016/j.chaos.2021.110893

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