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1
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-
0000996846
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-
Actually, Reynolds considered only parallel surfaces (see Reynolds, O. Philos. Trans. R. Soc. (London) 1886, 157, 177) and did not state this dependence, although it follows from his theory (and is usually attributed to him, especially in the colloid literature).
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(1886)
Philos. Trans. R. Soc. (London)
, vol.157
, pp. 177
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Reynolds, O.1
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7
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0021371703
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Churaev, N. V.; Sobolev, V. D.; Somov, A. N. J. Colloid Interface Sci. 1984, 97, 574.
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(1984)
J. Colloid Interface Sci.
, vol.97
, pp. 574
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Churaev, N.V.1
Sobolev, V.D.2
Somov, A.N.3
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9
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85087581049
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note
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10-14
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11
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0000479798
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Migler, K. B.; Hervet, H.; Leger, L. Phys. Rev. Lett. 1993, 70, 287.
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(1993)
Phys. Rev. Lett.
, vol.70
, pp. 287
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Migler, K.B.1
Hervet, H.2
Leger, L.3
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12
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0028766495
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Migler, K. B.; Massey, G.; Hervet, H.; Leger, L. J. Phys.: Condens. Matter 1994, 6, A301.
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(1994)
J. Phys.: Condens. Matter
, vol.6
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Migler, K.B.1
Massey, G.2
Hervet, H.3
Leger, L.4
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13
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43949151849
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Ajdari, A.; Brochard-Wyart, F.; de Gennes, P. G., Leibler, L.; Viovy, J. L.; Rubinstein, M. Physica A 1994, 204, 17.
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(1994)
Physica A
, vol.204
, pp. 17
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Ajdari, A.1
Brochard-Wyart, F.2
De Gennes, P.G.3
Leibler, L.4
Viovy, J.L.5
Rubinstein, M.6
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19
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0342801080
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Potanin, A. A.; Ur'ev, N. B.; Muller, V. M. Kolloidn. Zh. 1988, 50, 493.
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(1988)
Kolloidn. Zh.
, vol.50
, pp. 493
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Potanin, A.A.1
Ur'ev, N.B.2
Muller, V.M.3
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22
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10644268575
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note
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2,3,25 If so, the model (1.1) is applicable only for the separations which are greater than the thickness of the layer with modified viscosity.
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26
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0000988187
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Israelachvili, J. N.; Adams, G. E. J. Chem. Soc., Faraday Trans. 1 1978, 74, 975.
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(1978)
J. Chem. Soc., Faraday Trans. 1
, vol.74
, pp. 975
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Israelachvili, J.N.1
Adams, G.E.2
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28
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0026812158
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The configuration of the two spheres is also applicable, see Parker, J. L. Langmuir 1992, 8, 551.
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(1992)
Langmuir
, vol.8
, pp. 551
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Parker, J.L.1
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29
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10644227809
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note
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Superscripts - and + refer to the minimum and maximum radii, respectively.
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30
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10644263617
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note
-
The curvature is defined as the inverse of the radius of curvature.
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-
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31
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10644271690
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note
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To exclude possible confusion we will later specify were necessary whether we are talking about original (two) or the effective (one) curved surfaces.
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35
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10644233118
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note
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Here we use the film thickness as a reference length scale, so that the simplified problem may in principle be not solvable in the sense that the boundary conditions involving other length scales cannot be applied (see Introduction and ref 3). We will see however that in our case the simplified problem appears to be consistent and quite regular.
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-
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36
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85087579964
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note
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s on the axis z.
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-
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37
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10644275269
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note
-
In actual fact in our problem h is the length scale as well as a characteristics of the configuration geometry. These two physical aspects of a single parameter should not be confused. As a length scale h appears only in the correction for slippage (and has no relation to the invariants), while in the geometrical factor h can be expressed through the invariants of the surface (2.3).
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