In this paper, Stokes first problem for an unsteady hydromagnetic free convective flow of a viscous incompressible fluid past an infinite vertical porous plate subjected to a variable suction in a rotating system has been studied. The specific equations governing the flow are nondimensionalized to obtain the dimensionless forms of the governing equations. The resulting dimensionless governing partial differential equations are solved numerically by the finite difference method based on the forward-time central-space scheme. The resulting numerical schemes are simulated in MATLAB software to obtain the profiles of the flow variables such as velocity, temperature, species concentration and magnetic induction. The main findings of this study are that an increase in the joule heating parameter results in a uniform increase in the velocity and temperature profiles near the plate but remain constantly distributed away from the plate. This observation implies that the flow is influenced substantially by the strength of joule heating near the plate and in the bulk of the fluid. The results are useful in industrial water treatment systems which rely on physical forces to aid in the removal of pollutants. Moreover, the results are applicable in the separation of isotopes contained in a mixture of very light molecular-weight gases such as hydrogen and helium and medium molecular-weight gases like nitrogen and air.
Published in | Applied and Computational Mathematics (Volume 11, Issue 5) |
DOI | 10.11648/j.acm.20221105.15 |
Page(s) | 150-159 |
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), 2022. Published by Science Publishing Group |
Forward-Time-Central-Space, Hydromagnetic-Flow, Rotating-System, Stokes-Problem, Vertical-Porous-Plate, Variable-Suction
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APA Style
Mayaka Augustine Ayanga, Mathew Ngugi Kinyanjui, Jeconia Okelo Abonyo, Johana Kibet Sigey. (2022). Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System. Applied and Computational Mathematics, 11(5), 150-159. https://doi.org/10.11648/j.acm.20221105.15
ACS Style
Mayaka Augustine Ayanga; Mathew Ngugi Kinyanjui; Jeconia Okelo Abonyo; Johana Kibet Sigey. Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System. Appl. Comput. Math. 2022, 11(5), 150-159. doi: 10.11648/j.acm.20221105.15
AMA Style
Mayaka Augustine Ayanga, Mathew Ngugi Kinyanjui, Jeconia Okelo Abonyo, Johana Kibet Sigey. Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System. Appl Comput Math. 2022;11(5):150-159. doi: 10.11648/j.acm.20221105.15
@article{10.11648/j.acm.20221105.15, author = {Mayaka Augustine Ayanga and Mathew Ngugi Kinyanjui and Jeconia Okelo Abonyo and Johana Kibet Sigey}, title = {Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System}, journal = {Applied and Computational Mathematics}, volume = {11}, number = {5}, pages = {150-159}, doi = {10.11648/j.acm.20221105.15}, url = {https://doi.org/10.11648/j.acm.20221105.15}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20221105.15}, abstract = {In this paper, Stokes first problem for an unsteady hydromagnetic free convective flow of a viscous incompressible fluid past an infinite vertical porous plate subjected to a variable suction in a rotating system has been studied. The specific equations governing the flow are nondimensionalized to obtain the dimensionless forms of the governing equations. The resulting dimensionless governing partial differential equations are solved numerically by the finite difference method based on the forward-time central-space scheme. The resulting numerical schemes are simulated in MATLAB software to obtain the profiles of the flow variables such as velocity, temperature, species concentration and magnetic induction. The main findings of this study are that an increase in the joule heating parameter results in a uniform increase in the velocity and temperature profiles near the plate but remain constantly distributed away from the plate. This observation implies that the flow is influenced substantially by the strength of joule heating near the plate and in the bulk of the fluid. The results are useful in industrial water treatment systems which rely on physical forces to aid in the removal of pollutants. Moreover, the results are applicable in the separation of isotopes contained in a mixture of very light molecular-weight gases such as hydrogen and helium and medium molecular-weight gases like nitrogen and air.}, year = {2022} }
TY - JOUR T1 - Numerical Investigation of Unsteady Hydromagnetic Stokes Free-Convective Fluid Flow Past an Infinite Vertical Porous Plate with Variable Suction in a Rotating System AU - Mayaka Augustine Ayanga AU - Mathew Ngugi Kinyanjui AU - Jeconia Okelo Abonyo AU - Johana Kibet Sigey Y1 - 2022/10/24 PY - 2022 N1 - https://doi.org/10.11648/j.acm.20221105.15 DO - 10.11648/j.acm.20221105.15 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 150 EP - 159 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20221105.15 AB - In this paper, Stokes first problem for an unsteady hydromagnetic free convective flow of a viscous incompressible fluid past an infinite vertical porous plate subjected to a variable suction in a rotating system has been studied. The specific equations governing the flow are nondimensionalized to obtain the dimensionless forms of the governing equations. The resulting dimensionless governing partial differential equations are solved numerically by the finite difference method based on the forward-time central-space scheme. The resulting numerical schemes are simulated in MATLAB software to obtain the profiles of the flow variables such as velocity, temperature, species concentration and magnetic induction. The main findings of this study are that an increase in the joule heating parameter results in a uniform increase in the velocity and temperature profiles near the plate but remain constantly distributed away from the plate. This observation implies that the flow is influenced substantially by the strength of joule heating near the plate and in the bulk of the fluid. The results are useful in industrial water treatment systems which rely on physical forces to aid in the removal of pollutants. Moreover, the results are applicable in the separation of isotopes contained in a mixture of very light molecular-weight gases such as hydrogen and helium and medium molecular-weight gases like nitrogen and air. VL - 11 IS - 5 ER -