-
2
-
-
0000043233
-
"Isothermal shear-induced heat-flow"
-
PLRAAN1050-294710.1103/PhysRevA.46.7593
-
A. Baranyai, D. J. Evans, and P. J. Daivis, "Isothermal shear-induced heat-flow," Phys. Rev. A PLRAAN1050-294710.1103/ PhysRevA.46.7593 46, 7593 (1992).
-
(1992)
Phys. Rev. A
, vol.46
, pp. 7593
-
-
Baranyai, A.1
Evans, D.J.2
Daivis, P.J.3
-
3
-
-
0000771818
-
"The heat-flux vector for highly inhomogeneous nonequilibrium fluids in very narrow pores"
-
JCPSA60021-960610.1063/1.469946
-
B. D. Todd and D. J. Evans, "The heat-flux vector for highly inhomogeneous nonequilibrium fluids in very narrow pores," J. Chem. Phys. JCPSA60021-960610.1063/1.469946 103, 9804 (1995).
-
(1995)
Chem. Phys.
, vol.103
, pp. 9804
-
-
Todd, B.D.1
Evans, D.J.2
-
4
-
-
4243255572
-
"Temperature profile for Poiseuille flow"
-
EPLEEE81063-651X10.1103/PhysRevE.55.2800
-
B. D. Todd and D. J. Evans, "Temperature profile for Poiseuille flow," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.55.2800 55, 2800 (1997).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 2800
-
-
Todd, B.D.1
Evans, D.J.2
-
5
-
-
0000981411
-
"Burnett description for plane Poiseuille flow"
-
PLEEE81063-651X10.1103/PhysRevE.60.4063
-
F. J. Uribe and A. L. Garcia, "Burnett description for plane Poiseuille flow," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.60.4063 60, 4063 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 4063
-
-
Uribe, F.J.1
Garcia, A.L.2
-
6
-
-
33646979003
-
"Poiseuille type flow of a rarefied gas between two parallel plates driven by a uniform external force"
-
PLEEE81063-651X10.1103/PhysRevE.65.026315
-
K. Aoki, S. Takata, and T. Nakanishi, "Poiseuille type flow of a rarefied gas between two parallel plates driven by a uniform external force," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.65.026315 65, 026315 (2002).
-
(2002)
Phys. Rev. E
, vol.65
, pp. 026315
-
-
Aoki, K.1
Takata, S.2
Nakanishi, T.3
-
7
-
-
21844527202
-
"Perturbation analysis of a stationary nonequilibrium flow generated by an external force"
-
JSTPBS0022-471510.1007/BF02187068
-
M. Tij and A. Santos, "Perturbation analysis of a stationary nonequilibrium flow generated by an external force," J. Stat. Phys. JSTPBS0022-471510.1007/BF02187068 76, 1399 (1994).
-
(1994)
J. Stat. Phys.
, vol.76
, pp. 1399
-
-
Tij, M.1
Santos, A.2
-
8
-
-
0031161869
-
"On the validity of hydrodynamics in plane Poiseuille flows"
-
PHYADX0378-437110.1016/S0378-4371(97)00149-0
-
M. Malek Mansour, F. Baras, and A. L. Garcia, "On the validity of hydrodynamics in plane Poiseuille flows," Physica A PHYADX0378-437110.1016/S0378-4371(97)00149-0 240, 255 (1997).
-
(1997)
Physica A
, vol.240
, pp. 255
-
-
Malek Mansour, M.1
Baras, F.2
Garcia, A.L.3
-
9
-
-
0001473679
-
"Nonlinear Poiseuille flow in a gas"
-
PHFLE61070-663110.1063/1.869621
-
M. Tij, M. Sabbane, and A. Santos, "Nonlinear Poiseuille flow in a gas," Phys. Fluids PHFLE61070-663110.1063/1.869621 10, 1021 (1998).
-
(1998)
Phys. Fluids
, vol.10
, pp. 21
-
-
Tij, M.1
Sabbane, M.2
Santos, A.3
-
10
-
-
0026805717
-
"Poiseuille flow driven by an external force"
-
PFADEB0899-821310.1063/1.858245
-
M. Alaoui and A. Santos, "Poiseuille flow driven by an external force," Phys. Fluids A PFADEB0899-821310.1063/1.858245 4, 1273 (1992).
-
(1992)
Phys. Fluids A
, vol.4
, pp. 1273
-
-
Alaoui, M.1
Santos, A.2
-
11
-
-
0036393184
-
"Comparison of kinetic theory and hydrodynamics for Poiseuille flow"
-
JSTPBS0022-471510.1023/A:1020498111819
-
Y. Zheng, A. L. Garcia, and B. J. Alder, "Comparison of kinetic theory and hydrodynamics for Poiseuille flow," J. Stat. Phys. JSTPBS0022-471510.1023/A:1020498111819 109, 495 (2002).
-
(2002)
Stat. Phys.
, vol.109
, pp. 495
-
-
Zheng, Y.1
Garcia, A.L.2
Alder, B.J.3
-
12
-
-
0041324680
-
"Super-Burnett solutions for Poiseuille flow"
-
PHFLE61070-663110.1063/1.1577564
-
K. Xu, "Super-Burnett solutions for Poiseuille flow," Phys. Fluids PHFLE61070-663110.1063/1.1577564 15, 2077 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2077
-
-
Xu, K.1
-
13
-
-
4344664277
-
"Microchannel flow in the slip regime: Gas-kinetic BGK-Burnett solutions"
-
JFLSA70022-112010.1017/S0022112004009826
-
K. Xu and Z. Li, "Microchannel flow in the slip regime: Gas-kinetic BGK-Burnett solutions," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112004009826 513, 87 (2004).
-
(2004)
J. Fluid Mech.
, vol.513
, pp. 87
-
-
Xu, K.1
Li, Z.2
-
15
-
-
0000017490
-
"Generalized hydrodynamics for a Poiseuille flow: Theory and simulations"
-
PLEEE81063-651X10.1103/PhysRevE.58.546
-
D. Risso and P. Cordero, "Generalized hydrodynamics for a Poiseuille flow: Theory and simulations," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.58.546 58, 546 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 546
-
-
Risso, D.1
Cordero, P.2
-
16
-
-
36549094315
-
"Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules"
-
PFADEB0899-821310.1063/1.857478
-
T. Ohwada, Y. Sone, and K. Aoki, "Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules," Phys. Fluids A PFADEB0899-821310.1063/1.857478 1, 2042 (1989).
-
(1989)
Phys. Fluids A
, vol.1
, pp. 2042
-
-
Ohwada, T.1
Sone, Y.2
Aoki, K.3
-
17
-
-
84977259887
-
"Die Gesetze der Molekularströmung und der inneren Reibungsströmung der Gase durch Röhren"
-
ANPYA20003-380410.1002/andp.19093330106
-
M. Knudsen, "Die Gesetze der Molekularströmung und der inneren Reibungsströmung der Gase durch Röhren," Ann. Phys. ANPYA20003-380410.1002/andp.19093330106 333, 75 (1909).
-
(1909)
Ann. Phys.
, vol.333
, pp. 75
-
-
Knudsen, M.1
-
18
-
-
0001150584
-
"Plane Poiseuille flow: Rigid sphere gas"
-
JVTAD60734-210110.1116/1.576902
-
K. A. Hickey and S. K. Loyalka, "Plane Poiseuille flow: Rigid sphere gas," J. Vac. Sci. Technol. A JVTAD60734-210110.1116/ 1.576902 8, 957 (1990).
-
(1990)
J. Vac. Sci. Technol. A
, vol.8
, pp. 957
-
-
Hickey, K.A.1
Loyalka, S.K.2
-
19
-
-
0001027013
-
"An analysis of second order slip flow and temperature jump boundary conditions for rarefied gases"
-
JHMAK0017-931010.1016/0017-9310(64)90161-9
-
R. G. Deissler, "An analysis of second order slip flow and temperature jump boundary conditions for rarefied gases," Int. J. Heat Mass TransferI JHMAK0017-931010.1016/0017-9310(64)90161-9 7, 681 (1964).
-
(1964)
Int. J. Heat Mass Transfer
, vol.7
, pp. 681
-
-
Deissler, R.G.1
-
20
-
-
0042732124
-
"Comment on Cercignani's second-order slip coefficient"
-
PHFLE61070-663110.1063/1.1587155
-
N. G. Hadjiconstantinou, "Comment on Cercignani's second-order slip coefficient," Phys. Fluids PHFLE61070-663110.1063/1.1587155 15, 2352 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2352
-
-
Hadjiconstantinou, N.G.1
-
21
-
-
85036285983
-
"Velocity boundary condition at solid walls in rarefied gas calculations"
-
PLEEE81063-651X10.1103/PhysRevE.70.017303
-
D. A. Lockerby, J. M. Reese, D. R. Emerson, and R. W. Barber, "Velocity boundary condition at solid walls in rarefied gas calculations," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.70.017303 70, 017303 (2004).
-
(2004)
Phys. Rev. E
, vol.70
, pp. 017303
-
-
Lockerby, D.A.1
Reese, J.M.2
Emerson, D.R.3
Barber, R.W.4
-
26
-
-
0001848552
-
"The Chapman-Enskog and Grad methods for solving the Boltzmann equation"
-
SPHDA90038-5689
-
A. V. Bobylev, "The Chapman-Enskog and Grad methods for solving the Boltzmann equation," Sov. Phys. Dokl. SPHDA90038-5689 27, 29 (1982).
-
(1982)
Sov. Phys. Dokl.
, vol.27
, pp. 29
-
-
Bobylev, A.V.1
-
27
-
-
0000340720
-
"Extending hydrodynamics via the regularization of the Chapman-Enskog expansion"
-
PLRAAN1050-294710.1103/PhysRevA.40.7193
-
P. Rosenau, "Extending hydrodynamics via the regularization of the Chapman-Enskog expansion," Phys. Rev. A PLRAAN1050-294710.1103/ PhysRevA.40.7193 40, 7193 (1989).
-
(1989)
Phys. Rev. A
, vol.40
, pp. 7193
-
-
Rosenau, P.1
-
28
-
-
0027607531
-
"Stabilization of the Burnett equations and applications to hypersonic flows"
-
AIAJAH0001-145210.2514/3.11726
-
X. Zhong, R. W. MacCormack, and D. R. Chapman, "Stabilization of the Burnett equations and applications to hypersonic flows," AIAA J. AIAJAH0001-145210.2514/3.11726 31, 1036 (1993).
-
(1993)
AIAA J.
, vol.31
, pp. 1036
-
-
Zhong, X.1
MacCormack, R.W.2
Chapman, D.R.3
-
29
-
-
0035536415
-
"Regularization of the Burnett equations via relaxation"
-
JSTPBS0022-471510.1023/A:1010365123288
-
S. Jin and M. Slemrod, "Regularization of the Burnett equations via relaxation," J. Stat. Phys. JSTPBS0022-471510.1023/A:1010365123288 103, 1009 (2001).
-
(2001)
J. Stat. Phys.
, vol.103
, pp. 1009
-
-
Jin, S.1
Slemrod, M.2
-
30
-
-
0038575775
-
"Extended thermodynamics-Consistent in order of magnitude"
-
CMETEJ0935-117510.1007/s00161-002-0106-0
-
I. Müller, D. Reitebuch, and W. Weiss, "Extended thermodynamics-Consistent in order of magnitude," Continuum Mech. Thermodyn. CMETEJ0935-117510.1007/s00161-002-0106-0 15, 113 (2003).
-
(2003)
Continuum Mech. Thermodyn.
, vol.15
, pp. 113
-
-
Müller, I.1
Reitebuch, D.2
Weiss, W.3
-
31
-
-
33751034345
-
"Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations"
-
JSTPBS0022-471510.1007/s10955-005-8087-6
-
A. V. Bobylev, "Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations," J. Stat. Phys. JSTPBS0022-471510.1007/s10955-005-8087-6 124, 371 (2006).
-
(2006)
J. Stat. Phys.
, vol.124
, pp. 371
-
-
Bobylev, A.V.1
-
32
-
-
35448996379
-
"Hybrid Burnett equations: A new method of stabilizing"
-
TTSPB40041-145010.1080/00411450701468365
-
L. H. Söderholm, "Hybrid Burnett equations: A new method of stabilizing," Transp. Theory Stat. Phys. TTSPB40041-145010.1080/ 00411450701468365 36, 495 (2007).
-
(2007)
Transp. Theory Stat. Phys.
, vol.36
, pp. 495
-
-
Söderholm, L.H.1
-
33
-
-
33947588372
-
"Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy"
-
PRLTAO0031-900710.1103/PhysRevLett.98.124502
-
S. Ansumali, I. V. Karlin, S. Arcidiacono, A. Abbas, and N. I. Prasianakis, "Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.98.124502 98, 124502 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 124502
-
-
Ansumali, S.1
Karlin, I.V.2
Arcidiacono, S.3
Abbas, A.4
Prasianakis, N.I.5
-
34
-
-
48349118858
-
"Analytical solution for a higher-order lattice Boltzmann method: Slip velocity and Knudsen layer"
-
PLEEE81063-651X10.1103/PhysRevE.78.016702
-
S. H. Kim and H. Pitsch, "Analytical solution for a higher-order lattice Boltzmann method: Slip velocity and Knudsen layer," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.78.016702 78, 016702 (2008).
-
(2008)
Phys. Rev. E
, vol.78
, pp. 016702
-
-
Kim, S.H.1
Pitsch, H.2
-
35
-
-
84980073665
-
"On the kinetic theory of rarefied gases"
-
CPMAMV0010-364010.1002/cpa.3160020402
-
H. Grad, "On the kinetic theory of rarefied gases," Commun. Pure Appl. Math. CPMAMV0010-364010.1002/cpa.3160020402 2, 325 (1949).
-
(1949)
Commun. Pure Appl. Math.
, vol.2
, pp. 35
-
-
Grad, H.1
-
36
-
-
0003786097
-
-
in edited by S. Flügge (Springer, Berlin)
-
H. Grad, in Handbuch der Physik, edited by S. Flügge (Springer, Berlin, 1958), Vol. 12.
-
(1958)
Handbuch Der Physik
, vol.12
-
-
Grad, H.1
-
37
-
-
0001255530
-
"Dynamic correction to moment approximations"
-
PLEEE81063-651X10.1103/PhysRevE.57.1668
-
I. V. Karlin, A. N. Gorban, G. Dukek, and T. F. Nonnenmacher, "Dynamic correction to moment approximations," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.57.1668 57, 1668 (1998).
-
(1998)
Phys. Rev. E
, vol.57
, pp. 1668
-
-
Karlin, I.V.1
Gorban, A.N.2
Dukek, G.3
Nonnenmacher, T.F.4
-
38
-
-
0141649317
-
"Regularization of Grad's 13-moment equations: Derivation and linear analysis"
-
PHFLE61070-663110.1063/1.1597472
-
H. Struchtrup and M. Torrilhon, "Regularization of Grad's 13-moment equations: Derivation and linear analysis," Phys. Fluids PHFLE61070-663110.1063/1.1597472 15, 2668 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2668
-
-
Struchtrup, H.1
Torrilhon, M.2
-
39
-
-
8844265401
-
"Stable transport equations for rarefied gases at high orders in the Knudsen number"
-
PHFLE61070-663110.1063/1.1782751
-
H. Struchtrup, "Stable transport equations for rarefied gases at high orders in the Knudsen number," Phys. Fluids PHFLE61070-663110.1063/1.1782751 16, 3921 (2004).
-
(2004)
Phys. Fluids
, vol.16
, pp. 3921
-
-
Struchtrup, H.1
-
40
-
-
4344687139
-
"Regularized 13-moment-equations: Shock structure calculations and comparison to Burnett models"
-
JFLSA70022-112010.1017/S0022112004009917
-
M. Torrilhon and H. Struchtrup, "Regularized 13-moment-equations: Shock structure calculations and comparison to Burnett models," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004009917 513, 171 (2004).
-
(2004)
J. Fluid Mech.
, vol.513
, pp. 171
-
-
Torrilhon, M.1
Struchtrup, H.2
-
41
-
-
34547727702
-
"Bulk equations and Knudsen layers for the regularized 13 moment equations"
-
CMETEJ0935-117510.1007/s00161-007-0050-0
-
H. Struchtrup and T. Thatcher, "Bulk equations and Knudsen layers for the regularized 13 moment equations," Continuum Mech. Thermodyn. CMETEJ0935-117510.1007/s00161-007-0050-0 19, 177 (2007).
-
(2007)
Continuum Mech. Thermodyn.
, vol.19
, pp. 177
-
-
Struchtrup, H.1
Thatcher, T.2
-
42
-
-
43849094166
-
"On the modelling of isothermal gas flows at the microscale"
-
JFLSA70022-1120
-
D. Lockerby and J. Reese, "On the modelling of isothermal gas flows at the microscale," J. Fluid Mech. JFLSA70022-1120 604, 235 (2008).
-
(2008)
J. Fluid Mech.
, vol.604
, pp. 235
-
-
Lockerby, D.1
Reese, J.2
-
43
-
-
34447290688
-
"A computational strategy for the regularized 13-moment equations with enhanced wall-boundary conditions"
-
JCTPAH0021-999110.1016/j.jcp.2006.11.032
-
X. J. Gu and D. R. Emerson, "A computational strategy for the regularized 13-moment equations with enhanced wall-boundary conditions," J. Comput. Phys. JCTPAH0021-999110.1016/ j.jcp.2006.11.032 225, 263 (2007).
-
(2007)
Comput. Phys.
, vol.225
, pp. 263
-
-
Gu, X.J.1
Emerson, D.R.2
-
44
-
-
37249021809
-
"Boundary conditions for regularized 13-moment-equations for micro-channel-flows"
-
JCTPAH0021-999110.1016/j.jcp.2007.10.006
-
M. Torrilhon and H. Struchtrup, "Boundary conditions for regularized 13-moment-equations for micro-channel-flows," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2007.10.006 227, 1982 (2008).
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 1982
-
-
Torrilhon, M.1
Struchtrup, H.2
-
45
-
-
34547278669
-
"H theorem, regularization, and boundary conditions for linearized 13-moment equations"
-
PRLTAO0031-900710.1103/PhysRevLett.99.014502
-
H. Struchtrup and M. Torrilhon, "H theorem, regularization, and boundary conditions for linearized 13-moment equations," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.99.014502 99, 014502 (2007).
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 014502
-
-
Struchtrup, H.1
Torrilhon, M.2
-
46
-
-
40449084754
-
"A generalized Bhatnager-Gross-Kook model for nonequilibrium flows"
-
PHFLE61070-663110.1063/1.2837174
-
K. Xu, "A generalized Bhatnager-Gross-Kook model for nonequilibrium flows," Phys. Fluids PHFLE61070-663110.1063/1.2837174 20, 026101 (2008).
-
(2008)
Phys. Fluids
, vol.20
, pp. 026101
-
-
Xu, K.1
-
47
-
-
0000911805
-
"On stresses in rarefied gases arising from inequalities of temperature"
-
PTRSAV0370-231610.1098/rstl.1879.0067
-
J. C. Maxwell, "On stresses in rarefied gases arising from inequalities of temperature," Philos. Trans. R. Soc. London PTRSAV0370-231610.1098/rstl.1879.0067 170, 231 (1879).
-
(1879)
Philos. Trans. R. Soc. London
, vol.170
, pp. 231
-
-
Maxwell, J.C.1
-
48
-
-
0034346634
-
"Temperature jump and velocity slip in the moment method"
-
CMETEJ0935-117510.1007/s001610050119
-
H. Struchtrup and W. Weiss, "Temperature jump and velocity slip in the moment method," Continuum Mech. Thermodyn. CMETEJ0935-117510.1007/s001610050119 12, 1 (2000).
-
(2000)
Continuum Mech. Thermodyn.
, vol.12
, pp. 1
-
-
Struchtrup, H.1
Weiss, W.2
-
49
-
-
54149095960
-
"High order effects in rarefied channel flows"
-
PLEEE81063-651X10.1103/PhysRevE.78.046301
-
H. Struchtrup and M. Torrilhon, "High order effects in rarefied channel flows," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.78.046301 78, 046301 (2008).
-
(2008)
Phys. Rev. E
, vol.78
, pp. 046301
-
-
Struchtrup, H.1
Torrilhon, M.2
-
50
-
-
38349061496
-
"Linear kinetic heat transfer: Moment equations, boundary conditions, and Knudsen layers"
-
PHYADX0378-437110.1016/j.physa.2007.11.044
-
H. Struchtrup, "Linear kinetic heat transfer: Moment equations, boundary conditions, and Knudsen layers," Physica A PHYADX0378-437110.1016/j.physa.2007.11.044 387, 1750 (2008).
-
(2008)
Physica A
, vol.387
, pp. 1750
-
-
Struchtrup, H.1
|