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In recent years, differential equations have increasingly been applied to practical case studies, helping bridge the gap between theoretical concepts and real-world applications. One prominent example is the Lake Pollution Model (LPM), which illustrates how ordinary differential equations can model pollutant dynamics and extends into partial differential equations to capture spatial variations in pollution dispersion.
This study presents a numerical investigation of magnetohydrodynamic mixed convection flow of a binary gas mixture in an adjacent two-sided lid-driven square cavity. The top and left walls of the cavity move horizontally and vertically, respectively, generating complex flow interactions.
Abstract In recent years, differential equations have increasingly been applied to practical case studies, helping bridge the gap between theoretical concepts and real-world applications. One prominent example is the Lake Pollution Model (LPM), which illustrates how ordinary differential equations can model pollutant dynamics and extends into partial differential equations to capture spatial variations in pollution dispersion.
This paper investigates the heat and mass transfer under magnetohydrodynamic mixed convection flow of a binary gas mixture in a four-sided lid-driven square cavity. The enclosure's left wall is sinusoidally heated and acts as a source term, while the right wall functions as a sink. The cavity's horizontal walls are adiabatic and impermeable to mass transfer.
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