Topic
Hele-Shaw flow
About: Hele-Shaw flow is a research topic. Over the lifetime, 5451 publications have been published within this topic receiving 151320 citations.
Papers published on a yearly basis
Papers
More filters
Book•
17 Jun 1981
TL;DR: In this paper, a mathematical model solving the complete Navier-Stokes equations for steady flow in coiled rectangular pipes is presented, and a simplified mathematical model of steady turbulent flow in river bends is developed and verified using the results of laboratory experiments and fully three dimensional flow computations.
Abstract: Making use of a mathematical model solving the complete NavierStokes equations for steady flow in coiled rectangular pipes, fully-developed laminar flow in shallow curved channels is analysed physically and mathematically. Transverse convection of momentum by the secondary flow is shown to cause important deformations of the main velocity distribution. The model is also used to investigate simplified computation methods for shallow channels. The usual 'shallow water approximation' is shown to fail here, but a method starting from similarity hypotheses for the main and the secondary flow works well. On the basis of this method, a simplified mathematical model of steady turbulent flow in river bends is developed and verified using the results of laboratory experiments and fully three-dimensional flow computations. This model works well for shallow and mildly curved channels, but it shows important shortcomings if the channel is less shallow or sharplier curved.
75 citations
19 Feb 2002
TL;DR: In this article, a slip-flow condition is added to the Blasius boundary layer to allow external flow geometries to be studied at the micro-scale without extensive computation.
Abstract: As the number of applications of micro electro mechanical systems, or MEMS, increase, the variety of flow geometries that must be analyzed at the micro-scale is also increasing To date, most of the work on MEMS scale fluid mechanics has focused on internal flow geometries, such as microchannels As applications such as micro-scale flyers are considered, it is becoming necessary to consider external flow geometries Adding a slip-flow condition to the Blasius boundary layer allows these flows to be studied without extensive computation
75 citations
TL;DR: In this article, the particle image velocimetry (PIV) technique was used to investigate the flow around two and three side-by-side circular cylinders of equal diameter in shallow water.
74 citations
TL;DR: In this article, Couette flow states in a span-wise rotating frame of reference have been mapped experimentally in the parameter space spanned by the Reynolds number and rotation rate.
Abstract: Flow states in plane Couette flow in a spanwise rotating frame of reference have been mapped experimentally in the parameter space spanned by the Reynolds number and rotation rate. Depending on the ...
74 citations
TL;DR: In this article, the Navier-Stokes equations were discretized on triangular grids using a control volume methodology, with linear internodal variation of the flow variables, and the use of the multigrid technique provided rapid and grid-independent rates of convergence.
74 citations