scholarly journals Stokes' second problem and reduction of inertia in active fluids

2018 ◽  
Vol 3 (10) ◽  
Author(s):  
Jonasz Słomka ◽  
Alex Townsend ◽  
Jörn Dunkel
Keyword(s):  
Stokes Second Problem

scholarly journals The Stokes’ second problem for nanofluids

2019 ◽  
Vol 31 (1) ◽  
pp. 61-65 ◽  
Author(s):  
Naeema Ishfaq ◽  
W.A. Khan ◽  
Z.H. Khan
Keyword(s):  
Stokes Second Problem

scholarly journals Stokes’ Second Problem for a Micropolar Fluid with Slip

PLoS ONE ◽  
2015 ◽  
Vol 10 (7) ◽  
pp. e0131860 ◽  
Author(s):  
Olivia Ana Florea ◽  
Ileana Constanţa Roşca
Keyword(s):  
Micropolar Fluid ◽  
Stokes Second Problem

scholarly journals Analytic solution of Stokes second problem for second-grade fluid

2006 ◽  
Vol 2006 ◽  
pp. 1-8 ◽  
Author(s):  
S. Asghar ◽  
S. Nadeem ◽  
K. Hanif ◽  
T. Hayat
Keyword(s):  
Analytical Solution ◽  
Laplace Transformation ◽  
Material Parameter ◽  
Analytic Solution ◽  
Second Grade ◽  
Perturbation Techniques ◽  
Second Grade Fluid ◽  
Transient Solutions ◽  
Grade Fluid ◽  
Stokes Second Problem

Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown that phase velocity decreases by increasing material parameter of second-grade fluid.

Stokes Mechanism of Drag Reduction

2005 ◽  
Vol 73 (3) ◽  
pp. 483-489 ◽  
Author(s):  
Promode R. Bandyopadhyay
Keyword(s):  
Drag Reduction ◽  
Attenuation Factor ◽  
Viscous Sublayer ◽  
Wall Region ◽  
Mean Velocity ◽  
Turbulence Suppression ◽  
Maximum Drag Reduction ◽  
The Mean ◽  
Stokes Second Problem ◽  
Better Than

The mechanism of drag reduction due to spanwise wall oscillation in a turbulent boundary layer is considered. Published measurements and simulation data are analyzed in light of Stokes’ second problem. A kinematic vorticity reorientation hypothesis of drag reduction is first developed. It is shown that spanwise oscillation seeds the near-wall region with oblique and skewed Stokes vorticity waves. They are attached to the wall and gradually align to the freestream direction away from it. The resulting Stokes layer has an attenuated nature compared to its laminar counterpart. The attenuation factor increases in the buffer and viscous sublayer as the wall is approached. The mean velocity profile at the condition of maximum drag reduction is similar to that due to polymer. The final mean state of maximum drag reduction due to turbulence suppression appears to be universal in nature. Finally, it is shown that the proposed kinematic drag reduction hypothesis describes the measurements significantly better than what current direct numerical simulation does.

scholarly journals Unsteady Flows of a Generalized Fractional Burgers’ Fluid between Two Side Walls Perpendicular to a Plate

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Jianhong Kang ◽  
Yingke Liu ◽  
Tongqiang Xia
Keyword(s):  
Unsteady Flows ◽  
Maxwell Fluid ◽  
Second Grade ◽  
Burgers Fluid ◽  
Double Fourier Transform ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid ◽  
Side Walls ◽  
Generalized Maxwell Fluid ◽  
Stokes Second Problem

The unsteady flows of a generalized fractional Burgers’ fluid between two side walls perpendicular to a plate are studied for the case of Rayleigh-Stokes’ first and second problems. Exact solutions of the velocity fields are derived in terms of the generalized Mittag-Leffler function by using the double Fourier transform and discrete Laplace transform of sequential fractional derivatives. The solution for Rayleigh-Stokes’ first problem is represented as the sum of the Newtonian solutions and the non-Newtonian contributions, based on which the solution for Rayleigh-Stokes’ second problem is constructed by the Duhamel’s principle. The solutions for generalized second-grade fluid, generalized Maxwell fluid, and generalized Oldroyd-B fluid performing the same motions appear as limiting cases of the present solutions. Furthermore, the influences of fractional parameters and material parameters on the unsteady flows are discussed by graphical illustrations.

Analytical solution of Stokes’ second problem on the behavior of rarefied gas over an oscillating surface

2013 ◽  
Vol 48 (1) ◽  
pp. 109-122 ◽  
Author(s):  
V. A. Akimova ◽  
A. V. Latyshev ◽  
A. A. Yushkanov
Keyword(s):  
Analytical Solution ◽  
Rarefied Gas ◽  
Stokes Second Problem
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