MHD and porous effects on free convection flow of viscous fluid between vertical parallel plates: advance thermal analysis
- 30 March 2023
- journal article
- research article
- Published by Taylor & Francis Ltd in Waves in Random and Complex Media
Abstract
We develop a non-local mathematical model in the current study that uses the time-fractional Fourier’s law to describe the thermal phenomena. The time-fractional generalized Atangana–Baleanu fractional derivative is used to define the new time-fractional constitutive equations. We establish analytical solutions for generalized convection flows of viscous fluid between two parallel plates with general boundary conditions by combining the Laplace transform with the finite sine-Fourier transform. The impacts of fractional and physical factors on the thermal and velocity fields were examined using numerical calculations and graphical representations prepared with the Mathcad program. From the generalized Atangana–Baleanu fractional derivative, we can recover the Atangana–Baleanu fractional derivative, Caputo–Fabrizio fractional derivative, and Caputo fractional derivative as a special case.Keywords
This publication has 22 references indexed in Scilit:
- MHD mixed convection Poiseuille flow in a porous medium: New trends of Caputo time fractional derivatives in heat transfer problems⋆The European Physical Journal Plus, 2018
- Convective flows of generalized time-nonlocal nanofluids through a vertical rectangular channelPhysics of Fluids, 2018
- COMBINED POROUS AND MAGNETIC EFFECTS ON SOME FUNDAMENTAL MOTIONS OF NEWTONIAN FLUIDS OVER AN INFINITE PLATEJournal of Porous Media, 2018
- General Solutions for Hydromagnetic Free Convection Flow over an Infinite Plate with Newtonian Heating, Mass Diffusion and Chemical ReactionCommunications in Theoretical Physics, 2017
- General solution for MHD-free convection flow over a vertical plate with ramped wall temperature and chemical reactionArabian Journal of Mathematics, 2017
- Heat transfer analysis of fractional second-grade fluid subject to Newtonian heating with Caputo and Caputo-Fabrizio fractional derivatives: A comparisonThe European Physical Journal Plus, 2017
- Influence of time-fractional derivatives on the boundary layer flow of Maxwell fluidsChinese Journal of Physics, 2017
- Bio-convection on the nonlinear radiative flow of a Carreau fluid over a moving wedge with suction or injectionThe European Physical Journal Plus, 2016
- New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer modelThermal Science, 2016
- Analytical Solution for Fully Developed Mixed Convection Between Parallel Vertical Plates With Heat and Mass TransferJournal of Heat Transfer, 2004