Investigation of magnetized convection for second-grade nanofluids via Prabhakar differentiation
Open Access
- 1 January 2023
- journal article
- research article
- Published by Walter de Gruyter GmbH in Nonlinear Engineering
- Vol. 12 (1)
- https://doi.org/10.1515/nleng-2022-0286
Abstract
The application of nanoparticles in the base fluids strongly influences the presentation of cooling as well as heating techniques. The nanoparticles improve thermal conductivity by fluctuating the heat characteristics in the base fluid. The expertise of nanoparticles in increasing heat transference has captivated several investigators to more evaluate the working fluid. This study disputes the investigation of convection flow for magnetohydrodynamics second-grade nanofluid with an infinite upright heated flat plate. The fractional model is obtained through Fourier law by exploiting Prabhakar fractional approach along with graphene oxide and molybdenum disulfide nanoparticles and engine oil is considered as the base fluid. The equations are solved analytically via the Laplace approach. The temperature and momentum profiles show the dual behavior of the fractional parameters at different times. The velocity increases as increases and declines for greater values of magnetic parameter and Prandtl number. In the comparison of different numerical methods, the curves are overlapped, signifying that our attained results are authentic. The numerical investigation of governed profiles comparison shows that our obtained results in percentages of ≤ temperature ≤ and velocity are better than those of Basit et al. The development in temperature and momentum profile, due to engine oil–GO is more progressive, than engine oil–MoS2.
Keywords
This publication has 40 references indexed in Scilit:
- Convective flows of generalized time-nonlocal nanofluids through a vertical rectangular channelPhysics of Fluids, 2018
- Prabhakar-like fractional viscoelasticityCommunications in Nonlinear Science and Numerical Simulation, 2018
- The Prabhakar or three parameter Mittag–Leffler function: Theory and applicationCommunications in Nonlinear Science and Numerical Simulation, 2017
- Macro‐ to Microscale Heat TransferPublished by Wiley ,2014
- Some properties of Prabhakar-type fractional calculus operatorsFractional Differential Calculus, 2011
- Natural convective boundary-layer flow of a nanofluid past a vertical plateInternational Journal of Thermal Sciences, 2010
- Optimisation of numerical inversion of Laplace transformsElectronics Letters, 1970
- Algorithm 368: Numerical inversion of Laplace transforms [D5]Communications of the ACM, 1970
- Existence of Electromagnetic-Hydrodynamic WavesNature, 1942
- Über den Fundamentalsatz in der Teorie der Funktionen Ea(x)Acta Mathematica, 1905