- Page 1 and 2: ABSTRACT LONG, YUN. Pressure Tensor
- Page 3 and 4: Pressure Tensor of Adsobate in Nano
- Page 5: ACKNOWLEDGMENTS In the first place,
- Page 9 and 10: 9.1 Introduction ..................
- Page 11 and 12: LIST OF FIGURES Figure 2.1 Phase di
- Page 13 and 14: Figure 6.9 The normal pressure and
- Page 15 and 16: CHAPTER 1 Introduction and Backgrou
- Page 17 and 18: enhancement of argon adsorbed in ca
- Page 19 and 20: including ice VIII and ice IX, phas
- Page 21 and 22: These experimental results are summ
- Page 23 and 24: experiment, indicating that a phase
- Page 25 and 26: (SAXS) measurements, Professor Kane
- Page 27 and 28: y the microporous materials, curren
- Page 29 and 30: tangential pressure of water was ~
- Page 31 and 32: θ-directions P φφ = P θθ = P T
- Page 33 and 34: ρ dPN ( ρ) Sphere: PT( ρ) = PN(
- Page 35 and 36: α β pi pi J α ∂ α (,) r t =
- Page 37 and 38: Figure 3.2 Schematic representation
- Page 39 and 40: P 1 du( r ) r N ij ij 1 conf , IK (
- Page 41 and 42: e ( α ) = ( α )/ ( α ) . where
- Page 43 and 44: The physical meaning of the Dirac D
- Page 45 and 46: It is instructive to expand the rig
- Page 47 and 48: will lead to different tangential p
- Page 49 and 50: It is more complex to get the ρ- a
- Page 51 and 52: summation of the volume changes con
- Page 53 and 54: V V PTϕ ( ρ) = f1( ρ) + 2 ρad(
- Page 55 and 56: Figure 3.5 A plane at constant φ,
- Page 57 and 58:
Figure 3.6 The shaded annuluses of
- Page 59 and 60:
As for in the cylindrical pore, a n
- Page 61 and 62:
(3.4)), so it is not necessary to d
- Page 63 and 64:
pressure is calculated (see Sec. 5.
- Page 65 and 66:
microscopic property over all possi
- Page 67 and 68:
such as translational displacement,
- Page 69 and 70:
methane and ethane onto a microporo
- Page 71 and 72:
CHAPTER 5 Pressure Enhancement in S
- Page 73 and 74:
Table 5.1 The BFW parameters for ar
- Page 75 and 76:
We also developed a realistic pore
- Page 77 and 78:
component, etc.) are sampled every
- Page 79 and 80:
esults and one does not have to cho
- Page 81 and 82:
Figure 5.4 The normal pressures cal
- Page 83 and 84:
phase (at P bulk ~ 1 × 10 -4 bar).
- Page 85 and 86:
Figure 5.5 The density and pressure
- Page 87 and 88:
etween argon molecules within the l
- Page 89 and 90:
It is of interest to note that this
- Page 91 and 92:
Figure 5.8 The average in-pore dens
- Page 93 and 94:
BFW potential (Figure 5.1), that is
- Page 95 and 96:
closely packed in the direction par
- Page 97 and 98:
CHAPTER 6 Effects of the Wetting Pa
- Page 99 and 100:
(or simply the wetting parameter),
- Page 101 and 102:
Figure 6.3 Experimental contact ang
- Page 103 and 104:
T = T ( H , α ) for small adsorbat
- Page 105 and 106:
Figure 6.4 The capillary condensati
- Page 107 and 108:
6.5.2 Results and Discussion The in
- Page 109 and 110:
Moreover, the wetting parameter α
- Page 111 and 112:
section, except for a jump at capil
- Page 113 and 114:
α w = 0.1221, suggesting a highly
- Page 115 and 116:
ulk pressure (e.g., 1,010 bar compa
- Page 117 and 118:
We also study the effect of pore wi
- Page 119 and 120:
ole on the in-pore structure of the
- Page 121 and 122:
of the cylindrical pore cannot be c
- Page 123 and 124:
adsorbate molecule (a channel diame
- Page 125 and 126:
which is also found in the slit por
- Page 127 and 128:
Figure 7.2 The density and pressure
- Page 129 and 130:
Figure 7.3 The (a) tangential and (
- Page 131 and 132:
Figure 7.4 The density and pressure
- Page 133 and 134:
7.3.3 Effects of Bulk Pressure for
- Page 135 and 136:
7.4 Conclusions The pressure tensor
- Page 137 and 138:
dimensions of the simulation cell w
- Page 139 and 140:
pore is of finite length and the ad
- Page 141 and 142:
Figure 8.2 The normal pressures of
- Page 143 and 144:
8.3.2 Modeling Details A simple car
- Page 145 and 146:
are cut off at 2 nm. As reported by
- Page 147 and 148:
Figure 8.4 The normal pressure of (
- Page 149 and 150:
8.4 Argon Adsorbed in Cylindrical a
- Page 151 and 152:
spherical pores is due to additiona
- Page 153 and 154:
CHAPTER 9 Effects of Wall Roughness
- Page 155 and 156:
and u i is the potential energy of
- Page 157 and 158:
Figure 9.2 (a) The density and pres
- Page 159 and 160:
9.3 Effects of Wall Roughness on Ad
- Page 161 and 162:
Figure 9.5 A functionalized graphen
- Page 163 and 164:
Figure 9.6 The adsorption isotherms
- Page 165 and 166:
splitting effect becomes smaller, b
- Page 167 and 168:
We studied the effect of bulk press
- Page 169 and 170:
ight after capillary condensation,
- Page 171 and 172:
Finally, we show in Figure 9.10 the
- Page 173 and 174:
peak value of the tangential pressu
- Page 175 and 176:
(a) The pressure of fluids confined
- Page 177 and 178:
(h) The roughness of the pore wall,
- Page 179 and 180:
mercury as fluids), where the addit
- Page 181 and 182:
REFERENCES [1] K.E. Gubbins, Y.C. L
- Page 183 and 184:
[21] H. Kanda, M. Miyahara, K. Higa
- Page 185 and 186:
[42] U. Raviv, P. Laurat, J. Klein,
- Page 187 and 188:
[64] J.R. Henderson, Potential-Dist
- Page 189 and 190:
[89] Q. Cai, A. Buts, N.A. Seaton,
- Page 191 and 192:
[113] T.M. Reed, K.E. Gubbins, Appl
- Page 193 and 194:
APPENDICES 179
- Page 195 and 196:
Recalling that [ e e e ] = δ e ,
- Page 197 and 198:
∂ ∂ ∂Pρρ (1) e e e P e e e
- Page 199 and 200:
∂ ∂z P Tz = 0 , (A.15) where P
- Page 201 and 202:
∂ ∂ ∂ eρ = 0; eθ = 0; eϕ =
- Page 203 and 204:
Appendix B Volume Balance Examinati
- Page 205 and 206:
dV tk = + − 3 [(1 ξ ) 1] V tk,0
- Page 207 and 208:
dyh ρ + syh = 0 , (C.3) d ρ and s
- Page 209 and 210:
To simplify the answer, we calculat
- Page 211 and 212:
ln < e > P P P k T P k T −ΔU( ρ
- Page 213 and 214:
For the dipolar fluids (C 6 H 5 Br
- Page 215 and 216:
The parameters of various walls and
- Page 217 and 218:
c1 c2 c3 small change in the volume
- Page 219 and 220:
with Irving-Kirkwood definition P C
- Page 221 and 222:
ij Distance between particles i and
- Page 223:
divided in the ρ-direction σ Stre