Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy

The main intension of this study is to scrutinize the transient flow characteristics of two different non-Newtonian models of micropolar fluid and second grade fluid subject to a stretchable Riga plate. This novel study communicates with the rotational motion of microelements by taking into account...

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Main Authors: S. Bilal, Muhammad Yasir, Ali Hasan Ali
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Partial Differential Equations in Applied Mathematics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666818125000129
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author S. Bilal
Muhammad Yasir
Ali Hasan Ali
author_facet S. Bilal
Muhammad Yasir
Ali Hasan Ali
author_sort S. Bilal
collection DOAJ
description The main intension of this study is to scrutinize the transient flow characteristics of two different non-Newtonian models of micropolar fluid and second grade fluid subject to a stretchable Riga plate. This novel study communicates with the rotational motion of microelements by taking into account the strong and weak concentrations and incompressible Darcy Forchheimer flow features of second grade fluid. In the context of Dufour and Soret effects, the cross-diffusion process is analyzed in the mechanisms of mass and heat transport. Moreover, Buongiorno model is taken into account to deliberate the random movement of particles and thermophoretic effects in both considered fluids. The consequences of convective constraint, Arrhenius activation energy, and joule heating are also incorporated. The framework of ordinary dimensionless equations is accomplished by deploying convenient variables and numerically processed via reliable bpv4c technique in MATLAB. The rheology of both considered fluids is compared through graphics regarding different concentration level and pertinent parameters. Micropolar fluid has higher intensity of its dynamical behavior as compared to second grade fluid. Moreover, the improved activation energy parameter lowers the nature of both considered fluids.
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issn 2666-8181
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series Partial Differential Equations in Applied Mathematics
spelling doaj-art-16b194eb86e54d17a60a8bad7f83a9882025-01-19T06:26:47ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101084Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energyS. Bilal0Muhammad Yasir1Ali Hasan Ali2Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan; Corresponding author.Department of Business Management, Al-imam University College, 34011 Balad, Iraq; Technical Engineering College, Al-Ayen University, Dhi Qar 64001, IraqThe main intension of this study is to scrutinize the transient flow characteristics of two different non-Newtonian models of micropolar fluid and second grade fluid subject to a stretchable Riga plate. This novel study communicates with the rotational motion of microelements by taking into account the strong and weak concentrations and incompressible Darcy Forchheimer flow features of second grade fluid. In the context of Dufour and Soret effects, the cross-diffusion process is analyzed in the mechanisms of mass and heat transport. Moreover, Buongiorno model is taken into account to deliberate the random movement of particles and thermophoretic effects in both considered fluids. The consequences of convective constraint, Arrhenius activation energy, and joule heating are also incorporated. The framework of ordinary dimensionless equations is accomplished by deploying convenient variables and numerically processed via reliable bpv4c technique in MATLAB. The rheology of both considered fluids is compared through graphics regarding different concentration level and pertinent parameters. Micropolar fluid has higher intensity of its dynamical behavior as compared to second grade fluid. Moreover, the improved activation energy parameter lowers the nature of both considered fluids.http://www.sciencedirect.com/science/article/pii/S2666818125000129Riga plateSecond grade fluidMicropolar fluidBuongiorno modelStretching surface
spellingShingle S. Bilal
Muhammad Yasir
Ali Hasan Ali
Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
Partial Differential Equations in Applied Mathematics
Riga plate
Second grade fluid
Micropolar fluid
Buongiorno model
Stretching surface
title Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
title_full Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
title_fullStr Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
title_full_unstemmed Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
title_short Comparative rheological features of radiated Darcy-Forchheimer flow of micropolar and second grade fluid with cross diffusion and Arrhenius activation energy
title_sort comparative rheological features of radiated darcy forchheimer flow of micropolar and second grade fluid with cross diffusion and arrhenius activation energy
topic Riga plate
Second grade fluid
Micropolar fluid
Buongiorno model
Stretching surface
url http://www.sciencedirect.com/science/article/pii/S2666818125000129
work_keys_str_mv AT sbilal comparativerheologicalfeaturesofradiateddarcyforchheimerflowofmicropolarandsecondgradefluidwithcrossdiffusionandarrheniusactivationenergy
AT muhammadyasir comparativerheologicalfeaturesofradiateddarcyforchheimerflowofmicropolarandsecondgradefluidwithcrossdiffusionandarrheniusactivationenergy
AT alihasanali comparativerheologicalfeaturesofradiateddarcyforchheimerflowofmicropolarandsecondgradefluidwithcrossdiffusionandarrheniusactivationenergy