Thermo acoustic waves in rarefied gas between two coaxial cylinders at a sudden change of the temperature of the outer cylinder

Gospodinov, P.; Dankov, D.; Roussinov, V.

doi:10.1063/1.4964985

Cited by 7 publications

(4 citation statements)

References 14 publications

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“…The numerical solution of the NSF and DSMC models in detail is described in [15,17,19]. We study three main cases with different frequency - The filament temperature variation 300 0 t is shown on Figure 1a and the filament temperature variation for one period is shown on Figure 1b.…”

Section: Numerical Results and Discusionmentioning

confidence: 99%

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Numerical simulation of the pulsed Pirani gauges

Gospodinov

Dankov

Roussinov

et al. 2017

AIP Conference Proceedings

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Abstract. The transient heat transfer process is studied in rarefied gas confined between two stationary concentric cylinders. The inner cylinder (filament) is subjected to a periodically heating-cooling cycle. The energy transfer is modeled with a continuous model based on Navier-Stokes-Fourier (NSF) equations of motion and energy transfer and with a statistical Direct Simulation Monte Carlo Method (DSMC). Numerical results for the temperature, thermodynamic pressure and pressure difference between thermodynamic pressure and radial stress tensor component are obtained for different circular frequencies of heating cooling cycle of filament and for different filament radii. The pressure variation at the end of any local heating stage of heating-cooling cycle is close to the value of equilibrium thermodynamic pressure. The results are applicable in designing the pulsed Pirani gauges.

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Section: Numerical Results and Discusionmentioning

confidence: 99%

“…The governing equations are normalized by using the following scales: for density For the problem formulated first-order slip boundary conditions are imposed at both walls which can be written directly in dimensionless form as follows [19]:…”

Section: -1mentioning

confidence: 99%

Numerical simulation of the pulsed Pirani gauges

Gospodinov

Dankov

Roussinov

et al. 2017

AIP Conference Proceedings

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“…The continuous model is based on the Navier-Stokes-Fourier (NSF) equations for compressible fluid, completed with the equations of continuity and energy transport. For details see [13]. The nonzero stress tensor components [6] can be expressed as:…”

Section: Continuous Model (Nsf) and Numerical Simulationmentioning

confidence: 99%

“…Specialized numerical methods and experimental techniques are often required to capture these effects accurately [9,11,18,19,20]. In our previous studies [10,12,13,14], we considered rarefied monatomic gas between two coaxial unconfined cylinders (one dimensional, axisymmetric problem) by using a statistical method -Direct Simulation Monte Carlo (DSMC) and the Navier-Stokes-Fourier equations numerical solving. The present paper is a continuation of a study of Taylor-Couette flow between cylinders of finite length [21,22] where we consider the Taylor-Couette flow (two dimensional, axisymmetric problem) in rarefied gas between two concentric stationary cylinders with final length.…”

Section: Introductionmentioning

confidence: 99%

Oscillating flow of rarefied viscous gas between cylinders of finite length. Numerical study

Gospodinov,

Dankov,

Mironova

2023

J. Phys.: Conf. Ser.

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The rarefied viscous gas flow between a stationary inner and an oscillating outer cylinder is studied in this paper. It is a continuation of our previous publications where we study the flow between the infinite length cylinders while here is considered the case of finite length cylinders bounded by two planes with periodic boundary conditions in the cross sections at the ends of the cylinders. So, on the one hand, this changes the flow character creating conditions for periodic self-organization along the axis of symmetry and on the other hand, the current model is reduced to a flow in a limited volume. A continuum model based on Navier-Stokes-Fourier equations for compressible fluid with first order slip boundary conditions on the cylinders wall and statistical model Direct Simulation Monte Carlo (DSMC) method are used to model the flow. The presented numerical results were obtained after reaching sustained oscillations. Considering the model with cylinders of finite length allows to extend its capabilities and obtain a better fit to real conditions.

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