Slip correction factors for nonspherical bodies—II free molecule flow

Dahneke, Barton

doi:10.1016/0021-8502(73)90066-9

Cited by 130 publications

(78 citation statements)

References 2 publications

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“…The result for the drag force, ͑34c͒ plus ͑35c͒, agrees with the expression found by Dahneke. 16 In the limit Q ʈ → ϱ, the drag force and the thermophoretic force, ͑34a͒ plus ͑35a͒, both agree with the expressions de- Table III.…”

Section: ÿ Flat End Capssupporting

confidence: 71%

“…The expression ͑28͒ for the force simplifies to known results upon neglecting angular motion, velocity, or pressure gradients. 1,10,11,16,23,26,28,41,42 When comparing with expressions available in the literature, one may replace ͗ 1 1 ͘ and ͗ 0 2 ͘ in the above equations by their hydrodynamic expressions ͑24͒. In ͑28e͒ and ͑29b͒ we inserted ١ p following ͑13͒.…”

Section: ͑27͒mentioning

confidence: 99%

“…Most aerosol particles are not spherical, 3,[14][15][16] and it is therefore of considerable interest to examine the effect of particle shape on phoretic motion. 17,18 In this article we will present explicit expressions for the diverse phoretic forces on dissolved ellipsoidal, cylindrical, and cuboidal tracer particles derived from forces on surface elements.…”

Section: Introductionmentioning

confidence: 99%

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Unifying kinetic approach to phoretic forces and torques onto moving and rotating convex particles

Kröger

Hütter

2006

The Journal of Chemical Physics

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We derive general expressions and present several examples for the phoretic forces and torques acting on a translationally moving and rotating convex tracer particle, usually a submicrosized aerosol particle, assumed to be small compared to the mean free path of the surrounding nonequilibrium gas. Point of departure is an expression of the stress tensor in terms of half-sphere integrals to be evaluated with the inhomogeneous velocity distribution function of the surrounding gas, more specifically, its approximation in terms of a finite number of moments. A worked out example covers Grad’s 13 moment approximation in and out of the so-called hydrodynamic approximation. We implement an accommodation coefficient characterizing the collision process in order to derive the tracer particle’s complete equations of motion in a form which offers the possibility for immediate numerical implementation, and the analytical exploration of the effect of particle shape and size on phoretic drift velocity. Explicit expressions for axisymmetric, spherical, cylindrical, and also cuboidal particles are presented, discussed, and successfully compared with the rarely available, previously treated special cases, thus supporting the unifying approach presented in this manuscript.

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Section: ÿ Flat End Capssupporting

confidence: 71%

Section: ͑27͒mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Unifying kinetic approach to phoretic forces and torques onto moving and rotating convex particles

Kröger

Hütter

2006

The Journal of Chemical Physics

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“…The differential forces parallel to the velocity direction, i.e., dF j c in Equation (3) and dF j e in Equation (5), are identical to the differential forces in Equation (21) of Dahneke (1973) on substituting drifting velocity V d = −ωz and V d = −ωL r /2, respectively. However, the differential forces perpendicular to the velocity direction for a rotational movement (dF k c in Equation (4) and dF k e in Equation (6), respectively) are different from the forces for a constant translational movement which are zero as given by Dahneke (1973).…”

Section: Fig 1 a Rotational Rod (With Angular Velocitymentioning

confidence: 99%

“…However, the differential forces perpendicular to the velocity direction for a rotational movement (dF k c in Equation (4) and dF k e in Equation (6), respectively) are different from the forces for a constant translational movement which are zero as given by Dahneke (1973).…”

Section: Fig 1 a Rotational Rod (With Angular Velocitymentioning

confidence: 99%

Rotational Diffusion Coefficient (or Rotational Mobility) of a Nanorod in the Free-Molecular Regime

Mulholland

Zachariah

2013

Aerosol Science and Technology

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The corrected rotational diffusion coefficient for a rod in the free molecular regime is given in this work and a simplified derivation using the differential drag forces for a rotating rod in the free molecular regime is presented to explain the difference between our result and the one from Kim's approach. Finally, we compare the rotational diffusion coefficient between a rod and an ellipsoid with the same aspect ratio and the same volume.

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