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Flow dynamics in a wavy channel filled with anisotropic porous material under the effect of wall slip
Shyamal Kumar Mondal, Sougata Mandal, Sukhendu Ghosh
In this study, a theoretical and graphical analysis is conducted to examine the effects of wall-velocity slip, anisotropic ratio, and porosity parameter on a two-dimensional, visco…
Conservation laws, a new class of group invariant solutions, and its applications for the Whitham Broer Kaup model
Sougata Mandal, Sukhendu Ghosh
The Whitham Broer Kaup (WBK) equations provide a fundamental framework for modeling shallow water wave dynamics, effectively capturing both nonlinear and dispersive effects. In thi…
Stability of soluble surfactant-laden falling film over a hydrophobic incline in the presence of external shear
Dipankar Paul, Harekrushna Behera, Sukhendu Ghosh
The hydrodynamic stability analysis of gravity-driven, soluble surfactant-laden fluid streaming down a slippery, slanted plane in the presence of external shear force is being expl…
Instability behavior of odd viscosity-induced viscous fluid over a vibrating bed
Md. Mouzakkir Hossain, Mrityunjoy Saha, Harekrushna Behera +1
The manuscript focuses on the theoretical stability analysis of the viscous liquid over a vibrating inclined rigid bed when the fluid undergoes an impact of odd viscosity. Such an…
Hydrodynamic instability of shear imposed falling film over a uniformly heated inclined undulated substrate
Md. Mouzakkir Hossain, Sukhendu Ghosh, Harekrushna Behera +1
Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptot…
Impact of a floating flexible plate on the stability of double-layered falling flow
Md. Mouzakkir Hossain, Sukhendu Ghosh, Harekrushna Behera
The hydrodynamic stability behaviour of a two-layer falling film is explored with a floating flexible plate on the top surface. The stress balance at the surface is modeled using a…