DOI: 10.11648/j.ijfmts.20261202.12 ISSN: 2469-8113

Flow and Heat Transfer Through Vertical Channel with Radiation and Chemical Reaction in the Presence of Magnetic Field

Sanhita Paul, Mrinmoy Guria, Sovan Maji
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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.

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