CHEN Jie, ZHANG Jiaqi, OU Jihui. Influence of rarefied gas effect on the computation of heat flux[J]. 2019, 37(5): 691-697.DOI: 10.7638/kqdlxxb-2019.0008.
Influence of rarefied gas effect on the computation of heat flux
Research and development of the technology for near space hypersonic flying vehicles have drawn more and more attention. In the article "New Problems of Aerodynamics"
Zhou and Zhang showed that
for near space flying vehicles
the existing aerodynamics is inadequate and one of the new problems is how to take the local rarefied gas effect into consideration. They also analysed hypersonic boundary layer of near space flying vehicles. Based on the research
Chen and Zhao studied the local rarefied gas effect for strong shear flow
and proposed a non-dimensional parameter
Zh
to
characterize the rarefied gas effect. They indicate that the viscosity coefficient in conventional continuum model should be modified according to the value of
Zh
. In this paper
in a similar way
the rarefied gas effect in heat conduction problem is investigated by Direct Simulation Monte Carlo (DSMC). A characteristic parameter
Zh
T
is proposed based on the analysis of the velocity distribution functions of molecules
and the correction on thermal conductivity depending on the parameter
Zh
T
is obtained. A hypersonic flow of argon over a two dimensional cylinder is simulated by the proposed model
and the heat flux on the surface is examined.
关键词
Keywords
references
ZHOU H, ZHANG H X. New problems of aerodynamics[J]. Sci Sin-Phys Mech Astron, 2015, 45:104709. (in Chinese)
CHEN J, ZHAO L. A criterion for the existence of local rarefaction in a hypersonic flow field and corresponding flow characteristics[J]. Acta Aerodynamica Sinica, 2018, 36(1):4-11. (in Chinese)
YE Y D, ZHANG H X, JIANG X Q, et al. Some key problems in the study of aerodynamic characteristics of near-space hypersonic vehicles[J]. Chinese Journal of Theoretical and Applied Mechani, 2018, 50(6):1292-1310. (in Chinese)
OU J H, CHEN J, ZHAO L. Numerical simulation of hypersonic flows involving local rarefaction effect[J]. Acta Aerodynamica Sinica 2019, 37(2):193-200. (in Chinese).
CHEN J. OU J H, ZHAO L. Simulation of hypersonic flows in near continuum regime using DSMC and a new extended continuum model[C]//AIP Conference Proceedings 2132(1): 100007.
LI F. Heat-pipe-cooled thermal protection[M]. Beijing:China Astronautic publishing House, 2017. (in Chinese)
WANG Z H, BAO L, TONG B G. Similarity law of aero-heating to sharpened noses in rarefied chemical nonequilibrium flow[J]. Physics of Gases, 2016, 1(1):5-12. (in Chinese)
HUANG F, ZHANG L, CHENG X L, et al. Effects of Continuum Breakdown on Aerothermodynamics[J]. Journal of Astronautics, 2012, 33(2):153. (in Chinese)
GUI Y W, LIU L, DAI Y G, et al. Research status of hypersonic vehicle fluid-thermal-solid coupling and software development[J]. Acta Aeronautica et Astronautica Sinica. 2017, (7):92-110. (in Chinese)
WANG Z H, BAO L, TONF B G. Variation character of stagnation point heat flux for hypersonic pointed bodies from continuum to rarefied flow states and its bridge function study[J]. Sin-Phys Mech Astron, 2009, 39:1134. (in Chinese)
TANNEHILLl J C, EISLER G R. Numerical computation of the hypersonic leading edge problem using Burnett equations[J]. Phys Fluid, 1975, 19(1):9-15.
JIANG Z, ZHAO W, CHEN W. Computation of shock wave structure using a simpler set of generalized hydrodynamic equations based on nonlinear coupled constitutive relations[J]. Shock Waves, 2019.
GU X J, EMERSON D R. A high-order moment approach for capturing non-equilibrium phenomena in the transition regime[J]. J Fluid Mech, 2009, 636:177.
MYONG R S. Thermodynamically consistent hydrodynamic computational models for high-Knudsen-number gas flow[J]. Physic of Fluids, 1999, 11(9):2788-2802.
XIAO H, SHANG Y H, WU D, et al. Nonlinear coupled constitutive relations and its validation for rarefied gas flow[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(7):2091-2104. (in Chinese)
BIRD G A. Molecular gas dynamics and the direct simulation of gas flows[M]. Oxford:Clarendon Press. 1994.
HADJICONSTANTINOU N G, GARCIA A L, BAZANT M Z, et al. Statistical error in particle simulations of hydrodynamic phenomena[J]. J Comput Phys, 2003, 187:274-97.
BOYD I D, CHEN G, CANDLER G V. Predicting failure of the continuum fluid equations in transitional hypersonic flows Predicting failure of the continuum hypersonic flows fluid equations in transitional[J]. Phys Fluids, 1995, 7(1):210-219.
LOFTHOUSE A J, SCALABRIN L C, BOYD I D. Velocity slip and temperature jump in hypersonic aerothermodynamics[J]. J Thermophys Heat Transf, 2008, 22(1):38.