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

Латышев, А. В.; Yushkanov, А. А.

doi:10.1134/s0965542513030068

Cited by 3 publications

(5 citation statements)

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“…It is shown, that results of works [8] and [10] are rather close with the results received from the analytical decision [11]. Results from [11] on a case of boundary Cercignani' conditions in [12] have been generalized.…”

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confidence: 59%

“…In gases with use of the kinetic equations the second problem Стокса in works [7] - [12] was considered.…”

mentioning

confidence: 99%

“…In our works [11] and [12] the second Stokes' problem analytically for rarefied gas is solved. The model Boltzmann' kinetic equation with integral of collisions type BGK thus was used.…”

mentioning

confidence: 99%

“…Let us notice, that the received expression (12) did not include coefficient of the second viscosity ζ. Temperature jump is proportional to coefficient of dynamic viscosity, square of amplitude of speed of a wall, and it is inverse proportional to the coefficient of heat conductivity.…”

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confidence: 99%

“…The received result is fair both for gas, and for the liquid environment. Thus, generating of shift waves in the viscous environment by oscillation surface leads to occurrence of jump of temperature (12) which comes to light as the result of nonlinear analysis.…”

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confidence: 99%

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Temperature jump in second Stokes' problem by nonlinear analysis

Latyshev,

Yushkanov

2016

Preprint

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The second Stokes problem about behavior of the viscous fluid (matter) filling half-space is considered. A flat surface limiting half-space makes harmonious oscillations in the eigen plane. The equations of mechanics of the continuous environment are used. It is shown, that in considered process there is the temperature difference between temperature of a surface and temperature environments far from a surface. Usually similar difference is called as temperature jump. The method of small parameter is applied. Temperature jump in the second approach is found out.

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mentioning

confidence: 59%

“…In gases with use of the kinetic equations the second problem Стокса in works [7] - [12] was considered.…”

mentioning

confidence: 99%

“…In our works [11] and [12] the second Stokes' problem analytically for rarefied gas is solved. The model Boltzmann' kinetic equation with integral of collisions type BGK thus was used.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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