The heat transfer in a monatomic rarefied gas between two concentric cylinders in the case of sudden change of the outer wall temperature is studied. Different cases were calculated for a set of radius and temperatures of outer cylinder. On the wall of the inner cylinder are used two types of thermal boundary conditions - constant temperature and adiabatic isolated inner cylinder. The study aims to determine effect of arising waves on the gas macro characteristics (density, temperature and pressure) and in the case of adiabatic isolated case the inner wall temperature and pressure variations. The obtained numerical results are applicable in the thermal conductivity gauges.
REFERENCES
1.
H.
Yamaguchi
, K.
Kanazawa
, Yu.
Matsuda
, and T.
Niimi
, A.
Polikarpov
, and I.
Graur
(2012
) Physics of Fluids
24
, 062002
.2.
I.
Graur
, M.
Ho
, and M.
Wuest
(2013
) Journal of Vacuum Science and Technology A
31
(6
), 061603
.3.
Ph.
Danielson
(2004
) R&D Magazine
, p. 36
.4.
F.
Sharipov
and G.
Bertoldo
(2006
) J. Vac. Sci. Technol. A
24
(6
), 2087
–2093
.5.
D.
Kalempa
and F.
Sharipov
(2009
) Phys. Fluids
21
, 103601
, 14p.6.
A.
Mohammadzadeh
, A.
Rana
, and H.
Struchtrup
(2016
) International Journal of Thermal Sciences
101
, 9
–23
.7.
P.
Tzeng
, W.
Chou
, C.
Liu
, and W.
Li
(2011
) Journal of Aeronautics, Astronautics and Aviation, Series A
43
(3
), 147
–158
.8.
P.
Gospodinov
, V.
Roussinov
, and D.
Dankov
, “Thermoacoustic waves in a cylindrical Couette rarefied gas flow
,” in AMITANS’14
, AIP Conference Proceedings
1629
, edited by M.D.
Todorov
(American Institute of Physics
, Melville, NY
, 2014
), pp. 296
–302
.9.
R.B.
Bird
, W.E.
Stewart
, and E.N.
Lightfoot
, Transport Phenomena
, 2nd edn (John Wiley
, New York
, 2002
).10.
C.
Cercignani
, Rarefied Gas Dynamics, From Basic Concepts to Actual Calculations
(Cambridge University Press
, Cambridge
, 2000
).11.
S.
Chapman
and T.
Cowling
, The Mathematical Theory of Non-Uniform Gases
(Cambridge University Press
, Cambridge
, 1952
).12.
S.
Albertoni
, C.
Cercignani
and L.
Gotusso
(1963
) Physics of Fluids
6
, 993
–996
.13.
C.
Cercignani
, and F.
Sernagiotto
(1967
) Physics of Fluids
10
, 1200
–1204
.14.
P.
Gospodinov
, D.
Dankov
, and V.
Roussinov
, “Viscous drag and heat transfer in non-stationary gas flow between rotating cylinders
,” in AMITANS’13
, AIP Conference Proceedings
1561
, edited by M.D.
Todorov
(American Institute of Physics
, Melville, NY
, 2013
), pp. 363
–368
.15.
P.
Gospodinov
, V.
Roussinov
and S.
Stefanov
(2012
) European Journal of Mechanics B/Fluids
33
, 68
–77
.16.
G. A.
Bird
, Molecular Gas Dynamics and the Direct Simulation of Gas Flows
(Oxford University Press
, Oxford
, 1994
).17.
D.
Dankov
, P.
Gospodinov
, and V.
Roussinov
, “Non-stationary gas flow between rotating cylinders when the active cylinders stops suddenly
,” in Proceedings of the 43 Conference of the UBM Borovetz
, 2014
, pp. 167
–173
.18.
P.
Tzeng
, C.
Soong
, H.
Liu
, and H.
Yen
(2008
) International Journal of Heat and Mass Transfer
51
(14
), 445
–456
.19.
P.
Gospodinov
, V.
Roussinov
, and D.
Dankov
, “Transient heat transfer in viscous rarefied gas between concentric cylinders. Effect of curvature
,” in AMITANS’15
, AIP Conference Proceedings
1684
, edited by M.D.
Todorov
(American Institute of Physics
, Melville, NY
, 2015
), paper 070002.
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