Effect of wall proximity on the lateral thermocapillary migration of droplet rising in a quiescent liquid

2021 ◽  
Vol 33 (2) ◽  
pp. 022107
Author(s):  
Srinivasa Sagar Kalichetty ◽  
T. Sundararajan ◽  
Arvind Pattamatta
2021 ◽  
Vol 33 (4) ◽  
pp. 049901
Author(s):  
Chuangxin He ◽  
Yingzheng Liu ◽  
Lian Gan ◽  
Lutz Lesshafft

1962 ◽  
Vol 12 (1) ◽  
pp. 35-48 ◽  
Author(s):  
Howard Brenner

A general theory is put forward for the effect of wall proximity on the Stokes resistance of an arbitrary particle. The theory is developed completely for the case where the motion of the particle is parallel to a principal axis of resistance. In this case, the wall-effect correction can be calculated entirely from a knowledge of the force experienced by the particle in anunboundedfluid, providing (i) that the wall correction is already known for a spherical particle and (ii) that the particle is small in comparison to its distance from the boundary. Experimental data are cited which confirm the theory. The theory is extended to the wall effect on a particlerotatingnear a boundary.


Author(s):  
Charles C. Maneri ◽  
Peter F. Vassallo

The dynamic behavior of single bubbles rising in quiescent liquid Suva (R134a) in a duct has been examined through the use of a high speed video system. Size, shape and velocity measurements obtained with the video system reveal a wide variety of characteristics for the bubbles as they rise in both finite and infinite media. This data, coupled with previously published data for other working fluids, has been used to assess and extend a rise velocity model given by Fan and Tsuchiya. As a result of this assessment, a new rise velocity model has been developed which maintains the physically consistent characteristics of the surface tension in the distorted bubbly regime. In addition, the model is unique in that it covers the entire range of bubble sizes contained in the spherical, distorted and planar slug regimes.


2016 ◽  
Vol 3 (1) ◽  
pp. 40
Author(s):  
Uriel Goldberg

A turbulence closure based on transport equations for the square-root of the kinetic energy of turbulence, q=k1/2 and the length-scale, , is proposed and tested. The model is topography parameter free (no wall distance needed), uses local wall proximity indicators instead, and is meant to be applicable to both wall-bounded and free shear flows. Solving directly for the turbulence length-scale, invoking Dirichlet boundary conditions for both q and  and the fact that q varies linearly across the viscous sublayer contribute to reduced sensitivity of this model to near-wall grid concentration (as long as the sublayer is resolved) and to less numerical stiffness, hence faster convergence. A variable Cm parameter is featured in this model to account for non-simple shear where mean strain and vorticity rates are different. Several cases, covering a wide variety of flows, are presented to demonstrate the model’s performance. Fluids engineers whose work involves complex 3D topologies, particularly with non-stationary grids which require re-computing wall distance arrays at each time-step (a heavy demand on time and budget) may appreciate the fact that no distance arrays are needed for the q-  model.


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