Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret–Dufour Effects
Abstract
:1. Introduction
2. Problem Description
3. Results and Discussion
4. Conclusions
- The magnitude of velocity curves decreases substantially in the radial and axial directions when the relaxation time parameter is changed to dynamic.
- A higher rate of radiation parameter causes the thermal field to rise, along with the boundary layer thickness associated with it.
- An increasing trend is observed on the thermal profile, which is due to the increase in the heat generation parameter.
- The higher the Biot number, the more pronounced is the thermal boundary layer thickness.
- The heat transfer rate enriches with an increase in the Soret number.
- The Sherwood number is a monotonically increasing function of the Dufour number.
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
Nomenclature
cylindrical coordinate | heat capacities ratio | ||
components of velocity | specific heat capacity | ||
fluid temperature | ambient temperature | ||
convective fluid temperature | wall concentration | ||
convective heat transfer coefficient | mass flux velocity | ||
the electric conductivity | dynamic viscosity | ||
kinematic viscosity | fluid density | ||
fluid concentration | ambient concentration | ||
molecular diffusion coefficient | permeability of medium | ||
the thermal-diffusion ratio | the reaction rate | ||
angular velocity rate | strength of magnetic field | ||
stretching rate | the concentration susceptibility | ||
time relaxation | time retardation | ||
the thermophoretic coefficient | mean spectral absorption coefficient | ||
magnetic field | thermal conductivity | ||
the Stefan-Boltzmann constant | relaxation time parameter | ||
stretching parameter | porosity parameter | ||
retardation time parameter | Prandtl number | ||
Biot number | the chemical reaction parameter | ||
Re | the local Reynold number | relative temperature difference parameter | |
heat source/sink | the radiation parameter | ||
the suction parameter | Schmidt number | ||
the Nusselt number | the Sherwood number | ||
dimensionless variable | differentiation with respect to η | ||
radiative heat flux | azimuthal velocity | ||
axial velocity | radial velocity | ||
dimensionless temperature | dimensionless concentration |
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Bi | Sr | Du | |||
---|---|---|---|---|---|
0.03 | 0.05 | 0.1 | 0.1 | 0.01 | 0.09229430 |
0.05 | 0.09227085 | ||||
0.07 | 0.09224773 | ||||
0.05 | 0.1 | 0.09224401 | |||
0.2 | 0.09218679 | ||||
0.3 | 0.09212443 | ||||
0.05 | 0.1 | 0.3 | 0.25443032 | ||
0.5 | 0.39242589 | ||||
0.7 | 0.51127541 | ||||
0.05 | 0.1 | 0.1 | 0.3 | 0.09229828 | |
0.5 | 0.09235327 | ||||
0.7 | 0.09241036 | ||||
0.05 | 0.1 | 0.01 | 0.09224401 | ||
0.05 | 0.07831140 | ||||
0.08 | 0.06707660 |
0.1 | 0.01 | 0.2 | 0.1 | 0.01 | 2.35092312 |
0.2 | 2.35418081 | ||||
0.3 | 2.35767071 | ||||
0.1 | 0.02 | 2.29027125 | |||
0.03 | 2.23131286 | ||||
0.04 | 2.17416908 | ||||
0.1 | 0.01 | 0.3 | 2.35253616 | ||
0.4 | 2.35415123 | ||||
0.5 | 2.35596540 | ||||
0.1 | 0.01 | 0.2 | 0.3 | 2.31108474 | |
0.5 | 2.26928009 | ||||
0.7 | 2.22710225 | ||||
0.1 | 0.01 | 0.2 | 0.1 | 0.02 | 2.34526541 |
0.03 | 2.48338698 | ||||
0.05 | 2.63922405 |
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Al Elaiw, A.; Hafeez, A.; Khalid, A.; AL Nuwairan, M. Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret–Dufour Effects. Axioms 2022, 11, 608. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms11110608
Al Elaiw A, Hafeez A, Khalid A, AL Nuwairan M. Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret–Dufour Effects. Axioms. 2022; 11(11):608. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms11110608
Chicago/Turabian StyleAl Elaiw, Abeer, Abdul Hafeez, Asma Khalid, and Muneerah AL Nuwairan. 2022. "Swirling Flow of Chemically Reactive Viscoelastic Oldroyd-B Fluid through Porous Medium with a Convected Boundary Condition Featuring the Thermophoresis Particle Deposition and Soret–Dufour Effects" Axioms 11, no. 11: 608. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms11110608