Effectiveness of homogeneous–heterogeneous reactions in Maxwell fluid flow between two spiraling disks with improved heat conduction features

The current paper deals with the role of Cattaneo–Christov heat flux conduction model in rotating axisymmetric flow of Maxwell fluid between two coaxially spiraling disks. This model is a revised version of classical Fourier’s law which predicts the thermal relaxation characteristics. Two disparate...

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Veröffentlicht in:Journal of thermal analysis and calorimetry 2020-03, Vol.139 (5), p.3185-3195
Hauptverfasser: Ahmed, Jawad, Khan, Masood, Ahmad, Latif
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creator Ahmed, Jawad
Khan, Masood
Ahmad, Latif
description The current paper deals with the role of Cattaneo–Christov heat flux conduction model in rotating axisymmetric flow of Maxwell fluid between two coaxially spiraling disks. This model is a revised version of classical Fourier’s law which predicts the thermal relaxation characteristics. Two disparate situations, such as when the direction of rotation of both disks is same and opposite, are addressed. The system of nonlinear ordinary differential equations narrating momentum, energy and concentration equations is obtained with the transformations executed by von Kármán. A finite difference algorithm-based scheme, namely bvp4c, is implemented for numerical solution. The graphical and tabular trends for radial, azimuthal and axial flows as well as temperature and concentration fields are displayed against various pertinent parameters. The significant outcomes reveal that the impact of Deborah number is to decrease the velocity components in all directions. Additionally, the temperature field decays with the thermal relaxation time. Moreover, a decrease in fluid concentration is observed with increasing homogeneous–heterogeneous reactions parameters.
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This model is a revised version of classical Fourier’s law which predicts the thermal relaxation characteristics. Two disparate situations, such as when the direction of rotation of both disks is same and opposite, are addressed. The system of nonlinear ordinary differential equations narrating momentum, energy and concentration equations is obtained with the transformations executed by von Kármán. A finite difference algorithm-based scheme, namely bvp4c, is implemented for numerical solution. The graphical and tabular trends for radial, azimuthal and axial flows as well as temperature and concentration fields are displayed against various pertinent parameters. The significant outcomes reveal that the impact of Deborah number is to decrease the velocity components in all directions. Additionally, the temperature field decays with the thermal relaxation time. 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subjects Algorithms
Analysis
Analytical Chemistry
Axial flow
Axisymmetric flow
Chemistry
Chemistry and Materials Science
Computational fluid dynamics
Conduction heating
Conduction model
Conductive heat transfer
Deborah number
Differential equations
Finite difference method
Fluid flow
Fourier law
Heat flux
Inorganic Chemistry
Laws, regulations and rules
Mathematical models
Maxwell fluids
Measurement Science and Instrumentation
Nonlinear differential equations
Nonlinear equations
Ordinary differential equations
Parameters
Physical Chemistry
Polymer Sciences
Relaxation time
Rotating disks
Temperature distribution
Thermal relaxation
title Effectiveness of homogeneous–heterogeneous reactions in Maxwell fluid flow between two spiraling disks with improved heat conduction features
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