An Experimental Study of Hypersonic Low-Density Viscous Effects on Asharp Flat Plate

Vidal, R. J.; Golian, T. C.; Bartz, J. A.

doi:10.2514/6.1963-435

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…It is based on the conservation laws for mass, momentum and energy for incident and reflected molecules at a surface. Vidal et al (1963) in their study of hypersonic flow over a flat plate have used this method for velocity slip and temperature jump and have mentioned the existence of a pressure jump. Recently, Greenshields and Reese (2012) have revisited those formulations and have given a derivation for the non-equilibrium BCs following Patterson’s derivations.…”

Section: Non-equilibrium Boundary Conditionmentioning

confidence: 99%

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Assam

Kalkote

Dongari

et al. 2019

HFF

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Purpose Accurate prediction of temperature and heat is crucial for the design of various nano/micro devices in engineering. Recently, investigation has been carried out for calculating the heat flux of gas flow using the concept of sliding friction because of the slip velocity at the surface. The purpose of this study is to exetend the concept of sliding friction for various types of nano/micro flows. Design/methodology/approach A new type of Smoluchowski temperature jump considering the viscous heat generation (sliding friction) has recently been proposed (Le and Vu, 2016b) as an alternative jump condition for the prediction of the surface gas temperature at solid interfaces for high-speed non-equilibrium gas flows. This paper investigated the proposed jump condition for the nano/microflows which has not been done earlier using four cases: 90° bend microchannel pressure-driven flow, nanochannel backward facing step with a pressure-driven flow, nanoscale flat plate and NACA 0012 micro-airfoil. The results are compared with the available direct simulation Monte Carlo results. Also, this paper has demonstrated low-speed preconditioned density-based algorithm for the rarefied gas flows. The algorithm captured even very low Mach numbers of 2.12 × 10−5. Findings Based on this study, this paper concludes that the effect of inclusion of sliding friction in improving the thermodynamic prediction is case-dependent. It is shown that its performance depends not only on the slip velocity at the surface but also on the mean free path of the gas molecule and the shear stress at the surface. A pressure jump condition was used along with the new temperature jump condition and it has been found to often improve the prediction of surface flow properties significantly. Originality/value This paper extends the concept of using sliding friction at the wall for micro/nano flows. The pressure jump condition was used which has been generally ignored by researchers and has been found to often improve the prediction of surface flow properties. Different flow properties have been studied at the wall apart from only temperature and heat flux, which was not done earlier.

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Section: Non-equilibrium Boundary Conditionmentioning

confidence: 99%

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Assam

Kalkote

Dongari

et al. 2019

HFF

View full text Add to dashboard Cite

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“…The non-equilibrium BCs of Patterson appear in some significant work soon after their publication, notably in a study of hypersonic flow over a flat plate [9] in which velocity slip and temperature jump are analysed and discussed in detail, and in which mention is made of the existence of pressure jump. The method was also extended to produce a system of boundary conditions for a multicomponent mixture including concentration slip boundary conditions [10].…”

Section: Patterson's Derivation Of Non-equilibrium Bcsmentioning

confidence: 99%

Rarefied hypersonic flow simulations using the Navier–Stokes equations with non-equilibrium boundary conditions

Greenshields¹,

Reese

2012

Progress in Aerospace Sciences

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This paper investigates the use of Navier-Stokes-Fourier equations with non-equilibrium boundary conditions (BCs) for simulation of rarefied hypersonic flows. It revisits a largely forgotten derivation of velocity slip and temperature jump by Patterson, based on Grad's moment method. Mach 10 flow around a cylinder and Mach 12.7 flow over a flat plate are simulated using both computational fluid dynamics using the temperature jump BCs of Patterson and Smoluchowski and the direct simulation Monte-Carlo (DMSC) method. These flow exhibit such strongly non-equilibrium behaviour that, following Patterson's analysis, they are strictly beyond the range of applicability of the BCs. Nevertheless, the results using Patterson's temperature jump BC compare quite well with the DSMC and are consistently better than those using the standard Smoluchowski temperature jump BC. One explanation for this better performance is that an assumption made by Patterson, based on the flow being only slightly non-equilibrium, introduces an additional constraint to the resulting BC model in the case of highly non-equilibrium flows.

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Studies of the leading edge effect on the rarefied hypersonic flow over a flat plate

Bogdonoff¹

1968

6th Aerospace Sciences Meeting

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An Experimental Study of Hypersonic Low-Density Viscous Effects on Asharp Flat Plate

Cited by 3 publications

References 9 publications

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Investigation of non-equilibrium boundary conditions considering sliding friction for micro/nano flows

Rarefied hypersonic flow simulations using the Navier–Stokes equations with non-equilibrium boundary conditions

Studies of the leading edge effect on the rarefied hypersonic flow over a flat plate

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