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Noncontinuum drag force on a nanowire vibrating normal to a wall: Simulations and theory
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10.1063/1.3491127
/content/aip/journal/pof2/22/10/10.1063/1.3491127
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/10/10.1063/1.3491127

Figures

Image of FIG. 1.
FIG. 1.

Simulation domain.

Image of FIG. 2.
FIG. 2.

Convergence of drag force results with simulation box size for a system with .

Image of FIG. 3.
FIG. 3.

Problem geometry.

Image of FIG. 4.
FIG. 4.

Dimensionless inverse drag force per unit length as a function of dimensionless distance between nanowire and bottom wall for continuum flow. The solid line is obtained by using Eq. (23), the dotted-dashed line represents lubrication theory results for small given in Eq. (24), and the dashed line represents the approximation for given in Eq. (25).

Image of FIG. 5.
FIG. 5.

Nondimensionalized slip correction to the drag force, , plotted as a function of dimensionless distance between nanowire and bottom wall.

Image of FIG. 6.
FIG. 6.

as a function of dimensionless distance between nanowire and bottom wall.

Image of FIG. 7.
FIG. 7.

Drag force per unit length as a function of Knudsen number for corresponding to dimensions reported in Ref. 7. Legends are as shown in figure. Arrow near the -axis represents the Jeffrey–Onishi predictions in the continuum limit . The inset shows the same data on a linear-linear scale (free molecular flow results omitted for clarity). For simulations, error bars are smaller than symbol size.

Image of FIG. 8.
FIG. 8.

Normalized drag force per unit length as a function of Kn for different as given in the legend. Lines represent predictions obtained using the semiempirical expression given in Eq. (37) and curve fits for coefficients in that equation. Symbols represent simulation data at . Error bars in simulations are smaller than symbol size.

Image of FIG. 9.
FIG. 9.

Simulation results for the normalized drag coefficient as a function of nondimensionalized oscillation frequency at different Kn where is the BGK relaxation time defined in Sec. II. The arrows near the -axis represent quasisteady simulation results. Error bars in simulations are smaller than symbol size.

Image of FIG. 10.
FIG. 10.

Low and high frequency asymptotes for the normalized drag coefficient plotted as a function of Kn. Symbols represent simulation data and the dashed line represents the drag coefficient for an isolated nanowire in the free molecular flow regime. This free molecular flow result is given by Eq. (36) with (Ref. 34). Error bars in simulations are smaller than symbol size.

Tables

Generic image for table
Table I.

Coefficients , , and in Eq. (37) as a function of . The coefficients can be well-fitted by the following equations: , , and .

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/content/aip/journal/pof2/22/10/10.1063/1.3491127
2010-10-21
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Noncontinuum drag force on a nanowire vibrating normal to a wall: Simulations and theory
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/10/10.1063/1.3491127
10.1063/1.3491127
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