Gravity-driven flow of continuous thin liquid films on non-porous substrates with topography

PH Gaskell, PK Jimack, M Sellier… - Journal of Fluid …, 2004 - cambridge.org
A range of two-and three-dimensional problems is explored featuring the gravity-driven flow
of a continuous thin liquid film over a non-porous inclined flat surface containing well …

A variational quantum algorithm-based numerical method for solving potential and Stokes flows

YY Liu, Z Chen, C Shu, P Rebentrost, YG Liu… - Ocean …, 2024 - Elsevier
This paper presents a numerical method based on the variational quantum algorithm to
solve potential and Stokes flow problems. In this method, the governing equations for …

Solution of biharmonic equation in complicated geometries with physics informed extreme learning machine

V Dwivedi, B Srinivasan - … of Computing and …, 2020 - asmedigitalcollection.asme.org
Recently, physics informed neural networks (PINNs) have produced excellent results in
solving a series of linear and nonlinear partial differential equations (PDEs) without using …

[HTML][HTML] Theoretical investigation of electro-osmotic flows and chaotic stirring in rectangular cavities

S Qian, HH Bau - Applied mathematical modelling, 2005 - Elsevier
Two-dimensional, time-independent and time-dependent electro-osmotic flows driven by a
uniform electric field in a closed rectangular cavity with uniform and non-uniform zeta …

[HTML][HTML] Dissolved nutrient gas uptake and fluid mixing by bubble-mediated mass transfer in tall fermenters—A theoretical study

S Chaffin, NAM Monk, JM Rees… - Food and Bioproducts …, 2024 - Elsevier
A laminar flow perturbation theory for small gas volume fraction in high aspect ratio bubble
columns is developed. The model captures the approximate hydrodynamics, mass transfer …

A flux correction approach for the pressure equation in incompressible flows on overset meshes in OpenFOAM

DDJ Chandar, J Sitaraman - Computer Physics Communications, 2022 - Elsevier
Standard interpolation methods between overset meshes in finite-volume methods such as
distance-weighted or least squares based methods do not respect the conservation property …

Stokes flow in a double-lid-driven cavity with free surface side walls

PH Gaskell, F Gürcan, MD Savage… - Proceedings of the …, 1998 - journals.sagepub.com
Stokes flow is considered in a rectangular double-lid-driven cavity with free surface side
walls, aspect ratio A and speed ratio S= U 1/U 2, where U 1 and U 2 are lid velocities, as an …

Lattice Boltzmann simulation of two-sided lid-driven flow in a staggered cavity

PM Tekić, JB Rađenović, NL Lukić… - International Journal of …, 2010 - Taylor & Francis
In this article, the lattice Boltzmann method is employed in order to explore incompressible
fluid flow inside a two-sided lid-driven staggered cavity. Results of the lattice Boltzmann …

Bifurcations and eddy genesis of Stokes flow within a sectorial cavity

F Gürcan, H Bilgil - European Journal of Mechanics-B/Fluids, 2013 - Elsevier
This work analyzes the Stokes flow generated in a sectorial driven cavity formed by a pair of
curved stationary side walls capped by straight translating lids. The flow is governed by two …

[HTML][HTML] Topological flow structures in an L-shaped cavity with horizontal motion of the upper lid

A Deliceoğlu, SH Aydın - Journal of Computational and Applied …, 2014 - Elsevier
The flow patterns in a steady, viscous L-shaped cavity are investigated using both analytic
solutions combined with methods from nonlinear dynamical systems and numerically using …