Computational analysis of the magnetized second grade fluid flow using modified Fourier and Fick's Law towards an exponentially stretching sheet

HA Nabwey, AA Khan, M Ashraf, AM Rashad… - Mathematics, 2022 - mdpi.com
Numerical investigation of a chemically reactive second grade fluid flow towards an
exponentially stretching sheet into a porous medium induced by thermal and concentration …

Thermo diffusion impacts on the flow of second grade fluid with application of (ABC),(CF) and (CPC) subject to exponential heating

AU Rehman, MB Riaz, A Wojciechowski - Scientific Reports, 2022 - nature.com
The aim of this article is to investigate the exact solution by using a new approach for the
thermal transport phenomena of second grade fluid flow under the impact of MHD along with …

A comparative analysis of three distinct fractional derivatives for a second grade fluid with heat generation and chemical reaction

Sehra, H Sadia, SU Haq, H Alhazmi, I Khan… - Scientific Reports, 2024 - nature.com
This article provides a comparison among the generalized Second Grade fluid flow
described by three recently proposed fractional derivatives ie Atangana Baleanu fractional …

A comparative analysis of fractional model of second grade fluid subject to exponential heating: application of novel hybrid fractional derivative operator

AU Rehman, C Chunxia, M Bilal Riaz… - Arab Journal of Basic …, 2024 - Taylor & Francis
In this article, a new approach to study the fractionalized second grade fluid flow is
described by the different fractional derivative operators near an exponentially accelerated …

Non-linear approximations for natural convection in a horizontal annulus

B Duka, C Ferrario, A Passerini, S Piva - International Journal of Non-Linear …, 2007 - Elsevier
Two different problems are proposed as approximations of the usual system modelling
natural convection under the Oberbeck–Boussinesq assumptions. The error is evaluated by …

Natural convection between two horizontal coaxial cylinders

A Passerini, M Růžička, G Thäter - ZAMM‐Journal of Applied …, 2009 - Wiley Online Library
The objective of our paper is to start the theoretical investigation of the most commonly used
mathematical model for natural convection in a horizontal annulus. First, one shows …

Theoretical results on steady convective flows between horizontal coaxial cylinders

A Passerini, C Ferrario, M Růžička, G Thäter - SIAM Journal on Applied …, 2011 - SIAM
For arbitrary Rayleigh number, Ra, Prandtl number, and any ratio of the cylindrical radii,
existence of steady solutions of the two-dimensional Oberbeck–Boussinesq system is …

Augmentation and diminution of non-Boussinesq effects due to non-Newtonian power-law behavior in natural convection

JK Mulamootil, SK Dash - International Journal of Thermal Sciences, 2020 - Elsevier
This study investigates the extent and significance of augmentation and diminution of non-
Oberbeck–Boussinesq (NOB) effects due to power-law rheology in natural convection. The …

A theoretical study of the first transition for the non-linear Stokes problem in a horizontal annulus

C Ferrario, A Passerini - International Journal of Non-linear Mechanics, 2016 - Elsevier
For any aspect ratio R o/R i of the cylinder radii, the non-linear stability of the steady 2D-
solutions of the non-linear Stokes system, which is an approximation of the Oberbeck …

Significance of non-Oberbeck-Boussinesq effects augmented by power-law rheology in natural convection studies around fins

JK Mulamootil, SK Dash - Physics of Fluids, 2019 - pubs.aip.org
The augmentation and diminution of non-Oberbeck-Boussinesq (NOB) effects due to power-
law rheology cause significant changes in the results and associated implications of natural …