Mathematical modeling and numerical computation of the effective interfacial conditions for Stokes flow on an arbitrarily rough solid surface

2021 ◽  
Vol 42 (5) ◽  
pp. 721-746
Author(s):  
A. T. Tran ◽  
H. Le Quang ◽  
Q. C. He ◽  
D. H. Nguyen
2017 ◽  
Vol 228 (5) ◽  
pp. 1851-1869 ◽  
Author(s):  
A. T. Tran ◽  
H. Le Quang ◽  
Q.-C. He

Author(s):  
C. Macaskill ◽  
E. O. Tuck

AbstractA direct numerical computation is provided for the impedance of a screen consisting of a regular array of slits in a plane wall. The problem is solved within the framework of oscillatory Stokes flow, and results presented as a function of porosity, frequency and viscosity.


1952 ◽  
Vol 42 (2) ◽  
pp. 135-144
Author(s):  
W. S. Jardetzky ◽  
Frank Press

Abstract The theory of dispersive Rayleigh waves coupled to atmospheric compressional waves is derived for the case of a solid surface layer. Numerical computation of phase and group velocity curves indicates that an additional branch may be introduced to the dispersion curves as a result of air coupling. Amplitudes of waves propagated according to the various branches are briefly discussed.


2021 ◽  
Author(s):  
Alexander V. Vakhrushev

Forming nanostructures on the solids surface is one of the promising nanotechnological processes. It has been established that changes in the atomic structure of the solid surface due to the nanostructures formation result both in a significant change in various physical properties of the surface, and in an increase in its durability, strength, hardness, wear resistance. There are many different methods for forming nanostructures on solid surfaces: surface modification with nano-elements (nanoparticles, fullerenes and fullerites, graphene and nanotubes), formation of a nanocomposite layer on the surface, forming quantum dots and whiskers on the surface, implanting ions into the solid surface, laser surface treatment and other processes. The above processes are very complex and for their optimization require detailed research both by experimental and theoretical methods of mathematical modeling. The aim of this chapter was to provide a comparative review of different methods of forming nanostructures on the solids surface and mathematical modeling of these processes various aspects.


2012 ◽  
Vol 85 (2) ◽  
Author(s):  
Alexei F. Cheviakov ◽  
Ashton S. Reimer ◽  
Michael J. Ward

1974 ◽  
Vol 65 (3) ◽  
pp. 513-515 ◽  
Author(s):  
J.-M. Bourot

The body of given volume with the smallest drag in Stokes flow is obtained by making use of theoretical results due to Pironneau. A suitable family of solutions of the Stokes equations is used and the no-slip condition is expressed numerically by a technique of quadratic minimization. We find that the drag on this optimal body is 0·95425 times the drag on the sphere of equal volume.


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