A study has been carried out to investigate the three–dimensional free convective heat and mass transfer flow of a viscous incompressible fluid within a vertical channel. The analysis considers the combined effects of thermal radiation and a chemical reaction, which are important in many engineering and industrial processes such as energy systems, cooling devices, and chemical processing units. The presence of a magnetic field is also taken into account because it significantly influences the motion of electrically conducting fluids. The governing equations representing the conservation of momentum, energy, and concentration are formulated under appropriate physical assumptions. These equations are nonlinear and coupled in nature; therefore, they are first transformed into non–dimensional form using suitable similarity parameters. An approximate analytical solution of the resulting equations is then obtained by applying a perturbation technique. This method enables the determination of velocity, temperature, and concentration distributions inside the vertical channel and helps in analysing the influence of different physical parameters on the flow characteristics. The results reveal several important features of the flow. In the case of a cooling plate, the primary velocity component decreases with an increase in the magnetic parameter, chemical reaction parameter, Prandtl number, and Schmidt number. The magnetic field introduces a resistive force, which tends to slow down the fluid motion. Similarly, larger values of the Prandtl and Schmidt numbers reduce thermal and mass diffusivity, leading to a reduction in fluid velocity. On the other hand, the primary velocity increases with increasing values of the thermal Grashof number and mass Grashof number, since these parameters represent buoyancy forces that enhance the fluid motion within the channel. It is also observed that the temperature distribution decreases with an increase in the Reynolds number, Prandtl number, and radiation parameter. Furthermore, the concentration field decreases when the Schmidt number, Reynolds number, or chemical reaction parameter increases, indicating a reduction in species diffusion within the fluid flow.
| Published in | International Journal of Fluid Mechanics & Thermal Sciences (Volume 12, Issue 2) |
| DOI | 10.11648/j.ijfmts.20261202.12 |
| Page(s) | 32-50 |
| 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), 2026. Published by Science Publishing Group |
Three-dimensional, Injection, Periodic Suction, Mass Transfer
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APA Style
Paul, S., Guria, M., Maji, S. L. (2026). Flow and Heat Transfer Through Vertical Channel with Radiation and Chemical Reaction in the Presence of Magnetic Field. International Journal of Fluid Mechanics & Thermal Sciences, 12(2), 32-50. https://doi.org/10.11648/j.ijfmts.20261202.12
ACS Style
Paul, S.; Guria, M.; Maji, S. L. Flow and Heat Transfer Through Vertical Channel with Radiation and Chemical Reaction in the Presence of Magnetic Field. Int. J. Fluid Mech. Therm. Sci. 2026, 12(2), 32-50. doi: 10.11648/j.ijfmts.20261202.12
@article{10.11648/j.ijfmts.20261202.12,
author = {Sanhita Paul and Mrinmoy Guria and Sovan Lal Maji},
title = {Flow and Heat Transfer Through Vertical Channel with Radiation and Chemical Reaction in the Presence of Magnetic Field},
journal = {International Journal of Fluid Mechanics & Thermal Sciences},
volume = {12},
number = {2},
pages = {32-50},
doi = {10.11648/j.ijfmts.20261202.12},
url = {https://doi.org/10.11648/j.ijfmts.20261202.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20261202.12},
abstract = {A study has been carried out to investigate the three–dimensional free convective heat and mass transfer flow of a viscous incompressible fluid within a vertical channel. The analysis considers the combined effects of thermal radiation and a chemical reaction, which are important in many engineering and industrial processes such as energy systems, cooling devices, and chemical processing units. The presence of a magnetic field is also taken into account because it significantly influences the motion of electrically conducting fluids. The governing equations representing the conservation of momentum, energy, and concentration are formulated under appropriate physical assumptions. These equations are nonlinear and coupled in nature; therefore, they are first transformed into non–dimensional form using suitable similarity parameters. An approximate analytical solution of the resulting equations is then obtained by applying a perturbation technique. This method enables the determination of velocity, temperature, and concentration distributions inside the vertical channel and helps in analysing the influence of different physical parameters on the flow characteristics. The results reveal several important features of the flow. In the case of a cooling plate, the primary velocity component decreases with an increase in the magnetic parameter, chemical reaction parameter, Prandtl number, and Schmidt number. The magnetic field introduces a resistive force, which tends to slow down the fluid motion. Similarly, larger values of the Prandtl and Schmidt numbers reduce thermal and mass diffusivity, leading to a reduction in fluid velocity. On the other hand, the primary velocity increases with increasing values of the thermal Grashof number and mass Grashof number, since these parameters represent buoyancy forces that enhance the fluid motion within the channel. It is also observed that the temperature distribution decreases with an increase in the Reynolds number, Prandtl number, and radiation parameter. Furthermore, the concentration field decreases when the Schmidt number, Reynolds number, or chemical reaction parameter increases, indicating a reduction in species diffusion within the fluid flow.},
year = {2026}
}
TY - JOUR T1 - Flow and Heat Transfer Through Vertical Channel with Radiation and Chemical Reaction in the Presence of Magnetic Field AU - Sanhita Paul AU - Mrinmoy Guria AU - Sovan Lal Maji Y1 - 2026/06/18 PY - 2026 N1 - https://doi.org/10.11648/j.ijfmts.20261202.12 DO - 10.11648/j.ijfmts.20261202.12 T2 - International Journal of Fluid Mechanics & Thermal Sciences JF - International Journal of Fluid Mechanics & Thermal Sciences JO - International Journal of Fluid Mechanics & Thermal Sciences SP - 32 EP - 50 PB - Science Publishing Group SN - 2469-8113 UR - https://doi.org/10.11648/j.ijfmts.20261202.12 AB - A study has been carried out to investigate the three–dimensional free convective heat and mass transfer flow of a viscous incompressible fluid within a vertical channel. The analysis considers the combined effects of thermal radiation and a chemical reaction, which are important in many engineering and industrial processes such as energy systems, cooling devices, and chemical processing units. The presence of a magnetic field is also taken into account because it significantly influences the motion of electrically conducting fluids. The governing equations representing the conservation of momentum, energy, and concentration are formulated under appropriate physical assumptions. These equations are nonlinear and coupled in nature; therefore, they are first transformed into non–dimensional form using suitable similarity parameters. An approximate analytical solution of the resulting equations is then obtained by applying a perturbation technique. This method enables the determination of velocity, temperature, and concentration distributions inside the vertical channel and helps in analysing the influence of different physical parameters on the flow characteristics. The results reveal several important features of the flow. In the case of a cooling plate, the primary velocity component decreases with an increase in the magnetic parameter, chemical reaction parameter, Prandtl number, and Schmidt number. The magnetic field introduces a resistive force, which tends to slow down the fluid motion. Similarly, larger values of the Prandtl and Schmidt numbers reduce thermal and mass diffusivity, leading to a reduction in fluid velocity. On the other hand, the primary velocity increases with increasing values of the thermal Grashof number and mass Grashof number, since these parameters represent buoyancy forces that enhance the fluid motion within the channel. It is also observed that the temperature distribution decreases with an increase in the Reynolds number, Prandtl number, and radiation parameter. Furthermore, the concentration field decreases when the Schmidt number, Reynolds number, or chemical reaction parameter increases, indicating a reduction in species diffusion within the fluid flow. VL - 12 IS - 2 ER -