The effects of energy transfer and Hall currents on the instability of a viscous liquid sheet saturated in porous medium

Temporal instability theory is employed in the current study to examine the growth of anti-symmetric disturbances of a moving viscous fluid sheet embedded between two identical streaming perfect gas media. For simplicity, a two-dimensional model is offered without losing its generalization. A strong magnetic field (MF) is acted upon along with the normal direction of the plane of the model. The instability of a planar interface involving three liquids in permeable media yields major significance in geophysics and biomechanical. The novelty of this study is the thorough incorporation of many physical processes and approaches to examine the stability of liquid sheets in porous media. This investigation focuses on the impact of Hall currents and thermal effects. The findings of this study have significance for both basic comprehension and applications in practice. The contribution of the energy transmitted in the buoyancy condition, including the surface tension (ST), and restriction, is also reflected. The standard normal mode analysis is applied to achieve linear fundamental equations and the applicable boundary conditions (BCs). Therefore, the distributions of velocity, pressure, and temperature are calculated. The dimensionless examination reveals selected physical numerals. The impacts of these numerous physical features of the stability diagrams are established.