A review of experimental studies on the proppant settling in hydraulic fractures

S Yao, C Chang, K Hai, H Huang, H Li - Journal of Petroleum Science and …, 2022 - Elsevier
The hike of hydraulic fracturing in North America and beyond leads to significantly enhanced
hydrocarbon production especially in low-permeability geological formations. Proppant …

Terminal fall velocity: the legacy of Stokes from the perspective of fluvial hydraulics

S Dey, SZ Ali, E Padhi - Proceedings of the Royal Society …, 2019 - royalsocietypublishing.org
This review article, dedicated to the bicentenary celebration of Sir George Gabriel Stokes'
birthday, presents the state-of-the-science of terminal fall velocity, highlighting his rich …

Terminal velocity and shape of cloud and precipitation drops aloft

KV Beard - Journal of Atmospheric Sciences, 1976 - journals.ametsoc.org
The terminal velocity of cloud and precipitation size drops has been analyzed for three
physically distinct flow regimes: 1) slip flow about a water drop treated as rigid sphere at …

[HTML][HTML] Use of mass-and area-dimensional power laws for determining precipitation particle terminal velocities

DL Mitchell - Journal of Atmospheric Sciences, 1996 - journals.ametsoc.org
Based on boundary layer theory and a comparison of empirical power laws relating the
Reynolds and Best numbers, it was apparent that the primary variables governing a …

Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity

A Ten Cate, CH Nieuwstad, JJ Derksen… - Physics of …, 2002 - pubs.aip.org
Particle motion and particle collisions play an important role in the performance of many
industrial processes involving suspension flow. For instance, in industrial crystallization …

Proteus: a direct forcing method in the simulations of particulate flows

ZG Feng, EE Michaelides - Journal of Computational Physics, 2005 - Elsevier
A new and efficient direct numerical method for the simulation of particulate flows is
introduced. The method combines desired elements of the immersed boundary method, the …

The resistance to motion of a solid sphere in a fluid

AR Khan, JF Richardson - Chemical Engineering Communications, 1987 - Taylor & Francis
The published correlations for the drag force on a sphere moving in a fluid have been
critically examined and their limitations have been identified. A series of new correlations …

A moving-least-squares immersed boundary method for simulating the fluid–structure interaction of elastic bodies with arbitrary thickness

MD de Tullio, G Pascazio - Journal of Computational Physics, 2016 - Elsevier
A versatile numerical method is presented to predict the fluid–structure interaction of bodies
with arbitrary thickness immersed in an incompressible fluid, with the aim of simulating …

A semi-resolved CFD–DEM approach for particulate flows with kernel based approximation and Hilbert curve based searching strategy

Z Wang, Y Teng, M Liu - Journal of Computational Physics, 2019 - Elsevier
Particulate flow has a wide range of industrial applications and is frequently modeled with
coupled CFD–DEM approaches. Herein, we first identified a simulation gap between the …

A general equation for the terminal fall speed of solid hydrometeors

HP Böhm - Journal of Atmospheric Sciences, 1989 - journals.ametsoc.org
A comprehensive yet simple formula is presented for the terminal fall velocity of solid
precipitation particles. It depends on three particle parameters: mass, the mean …