Modified Patterson temperature jump condition considering viscous heat generation

Le, Nam T. P.; Tran, Nam H.; Tran, Thoai N.

doi:10.1016/j.ijheatmasstransfer.2018.06.046

Cited by 14 publications

(9 citation statements)

References 19 publications

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“…34 The surface heat flux, including viscous heat generation, was incorporated into the Patterson temperature jump condition 8,35 to propose a modified Patterson jump condition in ref. 21. This modified jump condition predicted the surface gas temperature for high-speed rarefied gas flows well with the DSMC data.…”

Section: Introductionsupporting

confidence: 70%

“…The NACA 0012 airfoil is symmetrical and often used for benchmarking aerodynamic test cases. 6,7,21,31,36 The main challenge for the numerics in the compression ramp case is the accurate prediction of the separation and reattachment points. Most researchers have studied the flow separation induced by a small-angle compression ramp (less than 30 deg.)…”

Section: Introductionmentioning

confidence: 99%

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High-speed rarefied gas flow simulations using Quasi-Gas Dynamic equations with slip and jump boundary conditions

Le¹,

Huynh²

2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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The high-speed rarefied gas flow simulation is essential for the aerothermodynamic design of high-altitude vehicles. Recently, the Quasi-Gas Dynamic (QGD) equations have been implemented in OpenFOAM as a CFD solver named QGDFoam. In computational fluid dynamics (CFD), the accuracy of the prediction of the surface quantities depends on the slip and jump boundary conditions applied to the surfaces. In the present work, various first-order and second-order slip and jump boundary conditions have been numerically implemented into the solver QGDFoam in OpenFOAM to obtain a completed solver for simulating the rarefied gas flows. It then captures the surface quantities of the gas flows, such as the surface gas pressure, the slip velocity, and surface gas temperature. This completed solver is validated for the sharp-leading-edge wedge, the compression ramp, and the NACA 0012 micro-airfoil cases. Using the QGD model with the slip and jump conditions extends its application and enhances it to simulate high-speed rarefied gas flows. The simulation results show that the slip and jump conditions have been successfully employed with the QGD equations and give good results for predicting the surface quantities compared with the DSMC data.

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Section: Introductionsupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

High-speed rarefied gas flow simulations using Quasi-Gas Dynamic equations with slip and jump boundary conditions

Le¹,

Huynh²

2022

Proceedings of the Institution of Mechanical Engineers, Part G:

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“…jump condition . It is expressed as follows 24 where c v is the specific heat at the constant volume. The second term in the right-hand side of equation (28) represents the viscous heat generation part.…”

Section: Slip and Jump Bcsmentioning

confidence: 99%

“…Recently, the Patterson temperature jump condition in the studies by Patterson 22 and Greenshields and Reese 22,23 was modified by considering viscous heat generation in heat flux at the surface, so-called Le et al jump condition. It is expressed as follows 24 T þ 1 2…”

Section: Le Et Al Jump Bcmentioning

confidence: 99%

New slip boundary condition in high-speed rarefied gas flow simulations

Tran

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part G:

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In this paper, we propose a new slip boundary condition in hypersonic gas flow simulations. It is derived by considering the Langmuir isotherm adsorption into the Kaniadarkis et al. model of the kinetic theory of gas. Moreover, the motion of the adsorbed molecules over the surface (i.e. surface diffusion) is considered for the calculation of the mean free path in new slip condition. Three aerodynamic configurations are selected for evaluating new slip condition such as (1) the sharp-leading-edge flat plate, (2) circular cylinder in cross-flow, and (3) the sharp 25°–55° biconic cases. Hypersonic gas flows have the Mach number ranging from 6.1 to 15.6, and the working gases are argon and nitrogen. The simulation results show that new slip condition predicts better slip velocity than the Maxwell slip condition and gives good agreement with the direct simulation Monte-Carlo data for all cases considered in the present work.

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“…Heat generation along with absorption effects on natural convection flow between two vertical parallel plates which are infinite are subjected to periodic heating in the presence of suction and injection were studied by Jha and Ajibade [2], as it was shown, the impact of heat generation is reciprocal to absorption on flow. Le et al [3] are discussed and Modified the conditions for temperature jump and viscous heat generation. Ng and Wang [4] discussed about buoyancy-based flow in a vertical annular microchannel where the inner or either outer wall exhibits superhydrophobic velocity slip and also temperature jump, while the inner wall is maintained keeping a constant temperature.…”

Section: Introductionmentioning

confidence: 99%

Free Convection in a Vertical Slit Micro-channel with Super-hydrophobic Slip and Temperature Jump Conditions

Ramanuja¹,

Krishna²,

Sree³

et al. 2020

IJHT

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The main objective of the convective incompressible fluid flow placed in a magnetic field, with vertical motion through an isothermally heated porous channel. The Super-hydrophobic the slip was applied on one wall along with temperature jump, while there is no slip on another wall. The analytical results are discussed qualitatively for the parameters which were on the mathematical formulation on the basis of the model equations designed for the linear momentum and energy balance. Decreasing the value of the slip parameter is noticed due to decreasing in temperature. The effects of heat source and porous medium on the micro channel flow is analysized in detail. Coparesion of current results is made with the earlier work. The effect of Dray parameter is to increase the fluid velocity in the channel.

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Modified Patterson temperature jump condition considering viscous heat generation

Cited by 14 publications

References 19 publications

High-speed rarefied gas flow simulations using Quasi-Gas Dynamic equations with slip and jump boundary conditions

High-speed rarefied gas flow simulations using Quasi-Gas Dynamic equations with slip and jump boundary conditions

New slip boundary condition in high-speed rarefied gas flow simulations

Free Convection in a Vertical Slit Micro-channel with Super-hydrophobic Slip and Temperature Jump Conditions

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