REGULAR EXPANSION SOLUTIONS FOR SMALL PECLET NUMBER HEAT OR MASS TRANSFER IN CONCENTRATED TWO-PHASE PARTICULATE SYSTEMS

1974 ◽  
Author(s):  
I. Yaron
Keyword(s):  
Mass Transfer ◽  
Peclet Number ◽  
Two Phase ◽  
Péclet Number ◽  
Particulate Systems

Concentration Distribution in the Wake of a Plane Surface Buried in a Porous Media in Alignment with the Flow Direction

2009 ◽  
Vol 283-286 ◽  
pp. 553-558
Author(s):  
João M.P.Q. Delgado ◽  
M. Vázquez da Silva
Keyword(s):  
Mass Transfer ◽  
Peclet Number ◽  
Numerical Solutions ◽  
Plane Surface ◽  
Flow Direction ◽  
Mathematical Expression ◽  
Mass Conservation ◽  
Mass Transfer Process ◽  
Packed Bed ◽  
Péclet Number

The present work describes the mass transfer process between a moving fluid and a slightly soluble flat surface buried in a packed bed of small inert particles with uniform voidage, by both advection and diffusion. Numerical solutions of the differential equation describing solute mass conservation were undertaken to obtain the concentration profiles, for each concentration level, the width and downstream length of the corresponding contour surface and the mass transfer flux was integrated to give the Sherwood number as a function of Peclet number. A mathematical expression that relates the dependence with the Peclet number is proposed to describe the approximate size of the diffusion wake downstream of the reactive solid mass.

Mass transfer of particles located on the flow axis at large peclet number

1977 ◽  
Vol 12 (2) ◽  
pp. 218-226 ◽  
Author(s):  
Yu. P. Gupalo ◽  
A. D. Polyanin ◽  
Yu. S. Ryazantsev
Keyword(s):  
Mass Transfer ◽  
Peclet Number ◽  
Flow Axis ◽  
Péclet Number ◽  
Large Peclet Number

Peclet Number Dependence of Mass Transfer in Microscale Segmented Gas–Liquid Flow

2015 ◽  
Vol 54 (36) ◽  
pp. 9046-9051 ◽  
Author(s):  
Milad Abolhasani ◽  
Eugenia Kumacheva ◽  
Axel Günther
Keyword(s):  
Mass Transfer ◽  
Liquid Flow ◽  
Peclet Number ◽  
Péclet Number ◽  
Gas Liquid Flow

scholarly journals Heat or mass transfer from a sphere in Stokes flow at low Péclet number

2013 ◽  
Vol 26 (4) ◽  
pp. 392-396 ◽  
Author(s):  
Christopher G. Bell ◽  
Helen M. Byrne ◽  
Jonathan P. Whiteley ◽  
Sarah L. Waters
Keyword(s):  
Mass Transfer ◽  
Stokes Flow ◽  
Peclet Number ◽  
Péclet Number

Squeeze-strengthening of magnetorheological fluids (part 1): Effect of geometry and fluid composition

2017 ◽  
Vol 29 (1) ◽  
pp. 62-71 ◽  
Author(s):  
Jean-Philippe Lucking Bigué ◽  
François Charron ◽  
Jean-Sébastien Plante
Keyword(s):  
Peclet Number ◽  
Magnetorheological Fluid ◽  
Magnetorheological Fluids ◽  
Fluid Composition ◽  
Average Particle ◽  
High Concentration ◽  
Two Phase ◽  
Péclet Number ◽  
Average Particle Radius ◽  
Fluid Behavior

Recent research has shown that magnetorheological fluid can undergo squeeze-strengthening when flow conditions promote filtration. While a Péclet number has been used to predict filtration in non-magnetic two-phase fluids submitted to slow compression, the approach has yet to be adapted to magnetorheological fluid behavior in order to predict the conditions leading to squeeze-strengthening behavior of magnetorheological fluid. In this article, a Péclet number is derived and adapted to the Bingham rheological model. This Péclet number is then compared to the experimental occurrence of squeeze-strengthening behavior obtained from several squeeze geometries and magnetorheological fluid compositions submitted to pure-squeeze conditions. Results show that the Péclet number well predicts the occurrence of squeeze-strengthening behavior in high-concentration magnetorheological fluid made from various particle sizes and using various squeeze geometries. Moreover, it is shown that squeeze-strengthening occurrence is increased when using annulus geometries or by increasing average particle radius. While lowering concentration increases filtration, tested conditions only led to squeeze-strengthening behavior after concentration had increased close to packing limit. Altogether, results suggest that the Péclet number derived in this study can be used to predict the occurrence of squeeze-strengthening for various magnetorheological fluids and squeeze geometries using the well-known rheological properties of magnetorheological fluids.

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