MHD Free Convective Transport Through an Inclined Porous Sheet With Thermal Radiation Effect: An Unsteady Analysis

• Published in: Advances in Mathematical Physics Vol. 2025; no. 1
• Main Authors: Milon, Mahamudul Hassan, Hasanuzzaman, Md, Asaduzzaman, Md
• Format: Journal Article
• Language: English
• Published: New York John Wiley & Sons, Inc 01.01.2025; Wiley
• Subjects: Astronomy; Boundary layer control; Chemical reactions; Coefficient of friction; Cooling towers; Differential equations; Dimensionless numbers; Electrons; Fluid dynamics; Fluid flow; Geophysics; Heat transfer; Investigations; Magnetic fields; Magnetohydrodynamics; Nuclear facilities; Nuclear power plants; Nuclear reactors; Ordinary differential equations; Parameters; Partial differential equations; Perforated plates; Porosity; Porous materials; Prandtl number; Radiation; Schmidt number; Shear stress; Skin friction; Suction; Thermal radiation; Velocity distribution; Massachusetts
• ISSN: 1687-9120; 1687-9139
• DOI: 10.1155/admp/9950491

An analysis of an unsteady magnetohydrodynamics (MHD) natural convective transport through a uniform inclined perforated plate in the presence of thermal radiation effect has been carried out due to its potential applications in geophysics and astronomy, as well as a variety of engineering problems, such as aerodynamics, cooling towers, and nuclear reactor boundary layer control. The partial differential equations (PDEs) have been transformed into ordinary differential equations (ODEs) by considering the similarity transformation. The nondimensional ODEs have been solved by using shooting technique through MATLAB tools. The influences of the numerous nondimensional numbers or parameters like inclined angle ( γ ), Prandtl number (Pr), Dufour number (Df), Schmidt number (Sc), thermal radiation parameter ( R ), and suction parameter ( v 0 ) on the fluid flow, concentration, and temperature are explained. For larger values of R and Df, the fluid’s temperature and velocity increased. The velocity field reduces for higher amounts of γ . The local skin friction coefficient ( f ′(0)) enhanced by 58% and reduced by 46% due to moving values of γ from 0° to 60° and M from 0.5 to 4.0, respectively. The values of f ′ (0) enhanced by about 16% and the values of θ ′(0) reduced by about 46% due to growing values of R from 0.5 to 3.5. Finally, we provided a comparison between our results with the published study. The comparison reveals good agreement.