Reconsideration of low Reynolds number flow-through constriction microchannels using the DSMC method

2005 ◽  
Vol 14 (4) ◽  
pp. 847-856 ◽  
Author(s):  
A.A. Alexeenko ◽  
S.F. Gimelshein ◽  
D.A. Levin
Keyword(s):  
Reynolds Number ◽  
Low Reynolds Number ◽  
Dsmc Method ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Number Flow ◽  
Flow Through ◽  
Low Reynolds

EFFECT OF ASPECT RATIO ON PRESSURE LOSS AND CHARACTERISTICS OF LOW REYNOLDS NUMBER FLOW THROUGH NARROW SLOTS

2017 ◽  
Author(s):  
Yishak Abdulhafiz Yusuf ◽  
Aleksey Baldygin ◽  
Reza Sabbagh ◽  
Michael Leitch ◽  
Prashant R. Waghmare ◽  
...  
Keyword(s):  
Reynolds Number ◽  
Aspect Ratio ◽  
Pressure Loss ◽  
Low Reynolds Number ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Number Flow ◽  
Flow Through ◽  
Low Reynolds

Short-time asymptotics of hydrodynamic dispersion in porous media

2013 ◽  
Vol 732 ◽  
pp. 687-705 ◽  
Author(s):  
Tyler R. Brosten
Keyword(s):  
Reynolds Number ◽  
Porous Media ◽  
Low Reynolds Number ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Number Flow ◽  
Flow Through ◽  
Time Expansion ◽  
Low Reynolds ◽  
Short Time

AbstractWe consider convection–diffusion transport of a passive scalar within porous media having a piecewise-smooth and reflecting pore–grain interface. The corresponding short-time expansion of molecular displacement time-correlation functions is determined for the generalized steady convection field. By interpreting the generalized short-time expansion of dispersion dynamics in the context of low-Reynolds-number flow through macroscopically homogeneous porous media, we demonstrate the connection between hydrodynamic permeability and short-time dynamics. The analytical short-time expansion is compared with numerical simulation data for steady low-Reynolds-number flow through a random close-pack array of mono-disperse spheres. The quadratic short-time expansion term of the dispersion coefficient closely predicts the numerical data for a mean displacement of at least 10 % of the sphere diameter for a Péclet number of 54.49.

scholarly journals Low-Reynolds-number flow through two-dimensional shunts

2013 ◽  
Vol 723 ◽  
pp. 21-39 ◽  
Author(s):  
A. Setchi ◽  
A. J. Mestel ◽  
K. H. Parker ◽  
J. H. Siggers
Keyword(s):  
Reynolds Number ◽  
Low Reynolds Number ◽  
Industrial Applications ◽  
Two Dimensional ◽  
Low Reynolds Number Flow ◽  
Reynolds Number Flow ◽  
Flow Profiles ◽  
Number Flow ◽  
Flow Through ◽  
Low Reynolds

AbstractMotivated by numerous biological and industrial applications relating to bypasses, mixing and leakage, we consider low-Reynolds-number flow through a shunt between two channels. An analytical solution for the streamfunction is found by matching biorthogonal expansions of Papkovich–Fadle eigenfunctions in rectangular subregions. The general solution can be adapted to model a variety of interesting problems of flow through two-dimensional shunts by imposing different inlet and outlet flux distributions. We present several such flow profiles but the majority of results relate to the particular problem of a side-to-side anastomosis in the small intestine. We consider different flux fractions through the shunt with particular emphasis on the pressure and recirculating regions, which are important factors in estimating health risks pertaining to this surgical procedure.

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