• Corpus ID: 118704734

# Analytical solution of the second Stokes problem with variable amplitude on behaviour of gas over oscillation surface. Part I: eigenvalues and eigensolutions

@article{Latyshev2016AnalyticalSO,
title={Analytical solution of the second Stokes problem with variable amplitude on behaviour of gas over oscillation surface. Part I: eigenvalues and eigensolutions},
author={Anatolii V. Latyshev and Ekaterina Alekseevna Bedrikova},
journal={arXiv: Fluid Dynamics},
year={2016}
}
• Published 15 March 2016
• Mathematics
• arXiv: Fluid Dynamics
In the present work the second Stokes problem about behaviour of the rarefied gas filling half-space is formulated. A plane limiting half-space makes harmonious fluctuations with variable amplitude in the plane. The amplitude changes on the exponential law. The kinetic equation with model integral of collisions in the form $\tau$-model is used. The case of diffusion reflexions of gas molecules from a wall is considered. Eigen solutions (continuous modes) of the initial kinetic equation…

## References

SHOWING 1-10 OF 19 REFERENCES

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

• Physics
• 2013
Stokes’ second problem on the behavior of rarefied gas occupying a half-space is analytically solved. The plane bounding the half-space executes harmonic oscillations. The kinetic equation with the

### On exact solutions of Stokes second problem for a Burgers’ fluid, I. The case γ < λ2/4

• Mathematics
• 2010
In the present work, the exact solutions of Stokes second problem for a Burgers’ fluid are investigated. The expressions for the velocity field and the corresponding tangential stress are obtained

### Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions

• Physics
• 2013
The second Stokes problem concerning the behavior of a rarefied gas in the half-space bounded over a plate undergoing harmonic in-plane oscillations is solved analytically using the

### Viscoelastic-Elastic Transition in the ” Stokes ’ Second Flow Problem ” in a High Frequency Limit

• Physics
• 2008
Solving the Boltzmann BGK equation, we investigate a flow generated by an infinite plate oscillating with frequency ω. Geometrical simplicity of the problem allows a solution in the entire range of

### An Investigation of Stokes' Second Problem for Non-Newtonian Fluids

• Physics, Engineering
• 2005
ABSTRACT Stokes flow produced by an oscillatory motion of a wall is analyzed in the presence of a non-Newtonian fluid. A total of eight non-Newtonian models are considered. A mass balance approach is

### Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients

• Engineering
• 2002
Various model equations are used to define the viscous-slip and the thermal-slip coefficients in rarefied gas dynamics. More specifically, the BGK model, the S model, the variable collision model and

### Gas flow around a longitudinally oscillating plate at arbitrary ratio of collision frequency to oscillation frequency

• Physics, Engineering
• 2007
A gas flow around a longitudinally oscillating plate is considered on the basis of the kinetic equation. The main parameter determining the problem solution is the ratio of intermolecular collision

### Kinetic models for gas-surface interactions

• Mathematics
• 1971
Abstract The problem of a mathematical description of the relation between the distribution functions of impinging and emerging molecules at a solid wall is considered. Under suitable assumptions, of

### Analytic solution of Stokes second problem for second-grade fluid

• Physics
• 2006
Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly

### Engineering fluid mechanics

• Engineering, Physics
• 1975
PREFACE. CHAPTER 1 Introduction. 1.1 Liquids and Gases. 1.2 The Continuum Assumption. 1.3 Dimensions, Units, and Resources. 1.4 Topics in Dimensional Analysis. 1.5 Engineering Analysis. 1.6