This paper examine numerical study for soret and dufour effects on unsteady Newtonian MHD fluid flow with mass and heat transfer in a collapsible elastic tube using Spectral Collocation technique. The objective of the study is to determine the velocity, temperature and concentration profiles together with heat and mass transfer rates. The governing equations are continuity, momentum, energy and concentration equation. The system of nonlinear partial differential equations governing the flow solved numerically by applying collocation method and implemented in MATLAB. The numerical solution of the profiles displayed both by graphically and numerically for different values of the physical parameters. The effects of varying various parameters such as Reynolds number, Hartmann number, Soret number, Dufour number and Prandtl number on velocity, temperature and concentration profiles also the rates of heat and mass transfer are discussed. The findings of this study are important due to its wide range of application including but not limited to medical fields, biological sciences and other physical sciences where collapsible tubes are applied.
| Published in | Applied and Computational Mathematics (Volume 13, Issue 1) |
| DOI | 10.11648/j.acm.20241301.12 |
| Page(s) | 8-28 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Collapsible Tube, MHD, Soret-Dufour, Numerical Technique, Spectral Collocation
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APA Style
Kaigalula, V., Mutua, S. (2024). Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method. Applied and Computational Mathematics, 13(1), 8-28. https://doi.org/10.11648/j.acm.20241301.12
ACS Style
Kaigalula, V.; Mutua, S. Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method. Appl. Comput. Math. 2024, 13(1), 8-28. doi: 10.11648/j.acm.20241301.12
AMA Style
Kaigalula V, Mutua S. Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method. Appl Comput Math. 2024;13(1):8-28. doi: 10.11648/j.acm.20241301.12
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Download@article{10.11648/j.acm.20241301.12,
author = {Victor Kaigalula and Samuel Mutua},
title = {Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method},
journal = {Applied and Computational Mathematics},
volume = {13},
number = {1},
pages = {8-28},
doi = {10.11648/j.acm.20241301.12},
url = {https://doi.org/10.11648/j.acm.20241301.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241301.12},
abstract = {This paper examine numerical study for soret and dufour effects on unsteady Newtonian MHD fluid flow with mass and heat transfer in a collapsible elastic tube using Spectral Collocation technique. The objective of the study is to determine the velocity, temperature and concentration profiles together with heat and mass transfer rates. The governing equations are continuity, momentum, energy and concentration equation. The system of nonlinear partial differential equations governing the flow solved numerically by applying collocation method and implemented in MATLAB. The numerical solution of the profiles displayed both by graphically and numerically for different values of the physical parameters. The effects of varying various parameters such as Reynolds number, Hartmann number, Soret number, Dufour number and Prandtl number on velocity, temperature and concentration profiles also the rates of heat and mass transfer are discussed. The findings of this study are important due to its wide range of application including but not limited to medical fields, biological sciences and other physical sciences where collapsible tubes are applied.},
year = {2024}
}
TY - JOUR T1 - Soret and Dufour Effects on MHD Fluid Flow Through a Collapssible Tube Using Spectral Based Collocation Method AU - Victor Kaigalula AU - Samuel Mutua Y1 - 2024/02/28 PY - 2024 N1 - https://doi.org/10.11648/j.acm.20241301.12 DO - 10.11648/j.acm.20241301.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 8 EP - 28 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20241301.12 AB - This paper examine numerical study for soret and dufour effects on unsteady Newtonian MHD fluid flow with mass and heat transfer in a collapsible elastic tube using Spectral Collocation technique. The objective of the study is to determine the velocity, temperature and concentration profiles together with heat and mass transfer rates. The governing equations are continuity, momentum, energy and concentration equation. The system of nonlinear partial differential equations governing the flow solved numerically by applying collocation method and implemented in MATLAB. The numerical solution of the profiles displayed both by graphically and numerically for different values of the physical parameters. The effects of varying various parameters such as Reynolds number, Hartmann number, Soret number, Dufour number and Prandtl number on velocity, temperature and concentration profiles also the rates of heat and mass transfer are discussed. The findings of this study are important due to its wide range of application including but not limited to medical fields, biological sciences and other physical sciences where collapsible tubes are applied. VL - 13 IS - 1 ER -
Department of Mathematics, Pan African University Institute for Basic Sciences, Innovation and Technology, Nairobi, Kenya
Mathematics, Statistics and Physical Sciences Department, Taita Taveta University, Nairobi, Kenya
