7 papers
On the selection of Saffman-Taylor fingers in a tapered Hele-Shaw cell
Dipa Ghosh, Satyajit Pramanik
We present an analytical study for predicting the finger width of the Saffman-Taylor finger in a tapered Hele-Shaw cell. We consider a rectilinear geometry with a constant depth gr…
HOC simulations of miscible viscous fingering of a finite slice: A new insight
Mijanur Rahaman, Jiten C. Kalita, Satyajit Pramanik
We investigate the dynamics of viscous fingering (VF) in miscible slices in homogeneous, isotropic porous media. The fluid flow is governed by incompressible Darcy's law, whereas t…
Existence and uniqueness of solutions of unsteady Darcy-Brinkman problem for modelling miscible reactive flows in porous media
Pankaj Roy, Satyajit Pramanik
In this work, we investigate a model describing flow through porous media with permeability heterogeneity, combining an advection-reaction-diffusion equation for solute concentrati…
Dissolution-driven transport in a rotating horizontal cylinder
Subhankar Nandi, Jiten C. Kalita, Sanyasiraju VSS Yedida +1
We study the combined effects of natural convection and rotation on the dissolution of a solute in a solvent-filled circular cylinder. The density of the fluid increases with the i…
Towards enhanced mixing of a high viscous miscible blob in porous media
Mijanur Rahaman, Jiten C. Kalita, Satyajit Pramanik
In this study, we investigate the rectilinear displacement and deformation of a highly viscous, miscible circular blob influenced by a less viscous fluid within a homogeneous porou…
A novel time integration scheme for linear parabolic PDEs
Subhankar Nandi, Satyajit Pramanik
This paper presents a class of Crank-Nicolson (CN) type schemes enhanced by radial basis function (RBF) interpolation for the time integration of linear parabolic partial different…