4 papers · 1 filter
Global Well-Posedness and Numerical Approximation of a Coupled Darcy-Convection-Diffusion System with Exponential Nonlinearity
Sahil Kundu, Amiya Kumar Pani, Manoranjan Mishra
This paper investigates density driven flow in porous media, focusing on the roles of viscosity contrast, density contrast, and linear adsorption. In this setup, the fluid on top i…
Global Existence and Finite-Time Blow-Up for a Coupled Darcy-Forchheimer-Brinkman System with Quadratic Reaction Dynamics
Sahil Kundu, Manmohan Vashisth, Manoranjan Mishra
We study a nonlinear system coupling the Darcy-Forchheimer-Brinkman equations with a convection-diffusion-reaction equation, arising in reactive transport through porous media. The…
Well-posedness and Fingering Patterns in Reactive Porous Media Flow
Sahil Kundu, Surya Narayan Maharana, Manoranjan Mishra
The convection-diffusion-reaction system governing incompressible reactive fluids in porous media is studied, focusing on the \( A + B \to C \) reaction coupled with density-driven…
Existence and Uniqueness of Solution to Unsteady Darcy-Brinkman Problem with Korteweg Stress for Modelling Miscible Porous Media Flow
Sahil Kundu, Surya Narayan Maharana, Manoranjan Mishra
The work investigates a model that combines a convection-diffusion-reaction equation for solute concentration with an unsteady Darcy-Brinkman equation for the flow field, including…