https://doi.org/10.1140/epjp/s13360-023-04153-4
Regular Article
Prediction of flow and thermal criticality of unsteady EMHD second grade fluid through exponentially accelerated vertical porous plate
Department of Mathematics, Veer Surendra Sai University of Technology, 768018, Burla, Odisha, India
Received:
1
June
2022
Accepted:
26
May
2023
Published online:
19
June
2023
The principal aim of this paper is to present a comprehensive account of a viscous, unsteady, electrically conducting, incompressible, unidirectional second-grade fluid with free convection through an unbounded vertical plate subjected to exponential acceleration with simultaneous application of electric as well as magnetic field. Both equation of energy and equation of motion as coupled p.d.e. are expressed as a system of algebraic equations with the aid of implicit finite difference approach. Subsequently, the damped Newton method is implemented to obtain numerical results. We have considered two cases: one is constant acceleration 
, and the other is variable acceleration 
. For the sake of engineering interest, the calculation of skin friction and Nusselt numbers for both cases has been evaluated. The obtained solution is ultimately simulated in MATLAB followed by graphical depiction of impact of various non-dimensional parameters on momentum and energy profile of the fluid. Under some limited cases, comparing the obtained results with already published studies shows excellent agreement. It is observed that when the plate is exposed to cooling and the 
values are elevated, there is an evident decrease in the boundary layer thickness for both the fluid profiles due to facilitation in suction propagation resulting in enhancement of heat transfer, whereas reduction in flow velocity occurs due to increased fluid viscosity. When the physical flow model is subjected to applied outer electric field, resistive forces are produced in the considered fluid due to the fact that the electric double layer acquires multiple charges which causes deceleration of the fluid motion.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
