Analytical Solution of the Pressure and Velocity Field in Steady-State Incompressible Axisymmetric Darcy Flow Through Granular Materials Such as Corn

1981 ◽  
Vol 24 (6) ◽  
pp. 1618-1620
Author(s):  
E. Haque ◽  
D. S. Chung ◽  
G. H. Foster
Keyword(s):  
Steady State ◽  
Velocity Field ◽  
Analytical Solution ◽  
Granular Materials ◽  
Darcy Flow ◽  
Flow Through

LIGHT MODULATION ENABLED BY LIQUID CRYSTAL MICROFLOWS

2011 ◽  
Vol 20 (04) ◽  
pp. 397-404
Author(s):  
J. G. CUENNET ◽  
A. E. VASDEKIS ◽  
L. DE SIO ◽  
D. PSALTIS
Keyword(s):  
Optical Properties ◽  
Liquid Crystal ◽  
Steady State ◽  
Velocity Field ◽  
Finite Elements ◽  
Mechanical Deformation ◽  
Peristaltic Flow ◽  
Light Modulation ◽  
Channel Deformation ◽  
Flow Through

In a previous paper,1 we proposed an optofluidic modulator based on peristaltic flow. A microchannel made of polydimethylsiloxane is filled with nematic liquid crystal molecules that align homeotropically in the steady state. Once we apply a periodic peristaltic flow through mechanical deformation of the channel, liquid crystal molecules tend to realign with the gradient velocity field and thus change their optical properties. In this paper, we focus on the channel deformation with the finite elements program Comsol®, and we highlight the limitations in frequency of such optofluidic components.

An Analytical Solution for 1-D Non-Darcy Flow Through Slanting Coarse Deposits

2014 ◽  
Vol 104 (3) ◽  
pp. 565-579 ◽  
Author(s):  
Mohammad Sedghi-Asl ◽  
Javad Farhoudi ◽  
Hassan Rahimi ◽  
Sven Hartmann
Keyword(s):  
Analytical Solution ◽  
Darcy Flow ◽  
Flow Through

Molecular Dynamics Study of Cohesionless Granular Materials: Size Segregation by Shaking

1993 ◽  
Vol 07 (09n10) ◽  
pp. 1865-1872 ◽  
Author(s):  
Toshiya OHTSUKI ◽  
Yoshikazu TAKEMOTO ◽  
Tatsuo HATA ◽  
Shigeki KAWAI ◽  
Akihisa HAYASHI
Keyword(s):  
Molecular Dynamics ◽  
Steady State ◽  
Specific Gravity ◽  
Pressure Gradient ◽  
Granular Materials ◽  
Buoyancy Force ◽  
Temporal Evolution ◽  
Particle Radius ◽  
Size Segregation ◽  
Increasing Function

The Molecular Dynamics technique is used to investigate size segregation by shaking in cohesionless granular materials. Temporal evolution of the height h of the tagged particle with different size and mass is measured for various values of the particle radius and specific gravity. It becomes evident that h approaches the steady state value h∞ independent of initial positions. There exists a threshold of the specific gravity of the particle. Below the threshold, h∞ is an increasing function of the particle size, whereas above it, h∞ decreases with increasing the particle radius. The relaxation time τ towards the steady state is calculated and its dependence on the particle radius and specific gravity is clarified. The pressure gradient of pure systems is also measured and turned out to be almost constant. This suggests that the buoyancy force due to the pressure gradient is not responsible to h∞.

Electroosmotic flow through packed beds of granular materials

2015 ◽  
Vol 19 (3) ◽  
pp. 693-708 ◽  
Author(s):  
Rakesh Saini ◽  
Matthew Kenny ◽  
Dominik P. J. Barz
Keyword(s):  
Granular Materials ◽  
Electroosmotic Flow ◽  
Packed Beds ◽  
Flow Through

Velocity field in isothermal turbulent bubbly gas-liquid flow through a pipe

1996 ◽  
Vol 21 (5) ◽  
pp. 347-356 ◽  
Author(s):  
V. Velidandla ◽  
S. Putta ◽  
R. P. Roy
Keyword(s):  
Velocity Field ◽  
Liquid Flow ◽  
Flow Through ◽  
Gas Liquid Flow

Analytical Solution to Steady-State Heat-Conduction Problems With Irregularly Shaped Boundaries

1971 ◽  
Vol 93 (4) ◽  
pp. 449-454 ◽  
Author(s):  
D. M. France
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Analytical Solution ◽  
Least Squares ◽  
Series Solution ◽  
Point Matching ◽  
State Heat ◽  
Temperature Heat ◽  
Steady State Heat ◽  
Least Squares Approach

A method of obtaining an analytical solution to two-dimensional steady-state heat-conduction problems with irregularly shaped boundaries is presented. The technique of obtaining the coefficients to the series solution via a direct least-squares approach is compared to the “point-matching” scheme. The two methods were applied to problems with known solutions involving the three heat-transfer boundary conditions, temperature, heat flux, and convection coefficient specified. Increased accuracy with substantially fewer terms in the series solution was obtained via the least-squares technique.

Sign in / Sign up

Export Citation Format

Share Document