On the drag force of a viscous sphere with interfacial slip at small but finite Reynolds numbers

Fluid Dynamics Research

Volumn 44, Issue 2, 2012, Pages

  Feng, Zhi Gang ^a   Michaelides, Efstathios E ^b   Mao, Shaolin ^c  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

^b TEXAS CHRISTIAN UNIVERSITY   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; DRAG FORCES; FINITE REYNOLDS NUMBER; GENERAL EXPRESSION; HYDRODYNAMIC DRAG FORCES; INNER REGION; INTERFACIAL SLIP; INTERIOR FLOW; RESTRICTIVE CONDITIONS; SINGULAR PERTURBATION METHOD; SMALL DROPLETS; SPHERICAL SHAPE; STREAMFUNCTIONS; VISCOUS EFFECT;

DRAG; DROP FORMATION; FLOW FIELDS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER;

SPHERES;

EID: 84858049739     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1088/0169-5983/44/2/025502     Document Type: Article

References (24)

1. Arkilic E B, Breuer K S and Schmidt M A 2001 Mass flow and tangential momentum accommodation in silicon micromachined channels J. Fluid Mech. 437 29-43 (Pubitemid 32596295)
2. Basset A B 1888a Treatise on Hydrodynamics (London: Bell)
3. Basset A B 1888b On the motion of a sphere in a viscous liquid Phil. Trans. R. Soc. 179 43-63
4. Brenner H and Cox R G 1963 The resistance to a particle of arbitrary shape in translational motion at small Reynolds numbers J. Fluid Mech. 17 561-95
5. Clift R, Grace J R and Weber M E 1978 Bubbles, Drops, and Particles (New York: Academic)
6. Crowe C T, Babcock W R, Willoughby P G and Carlson R L 1969 Measurement of particle drag coefficients in flow regimes encountered by particles in a rocket nozzle United Technical Report 2296-FR
7. Feng Z-G 2010 A correlation of the drag force coefficient on a sphere with interface slip at low and intermediate Reynolds numbers J. Dispersion Sci. Technol. 31 968-74
8. Feng Z-G and Michaelides E E 1995 The equation of motion of a small viscous sphere in an unsteady flow with interface slip Int. J. Multiphase Flow 21 315-21
9. Feng Z-G and Michaelides E E 1998 Motion of a permeable sphere at finite but small Reynolds numbers Phys. Fluids 10 1375-83 (Pubitemid 128613805)
10. Feng Z-G and Michaelides E E 2001 Drag coefficients of viscous spheres at intermediate and high Reynolds numbers ASME J. Fluid Eng. 123 841-9 (Pubitemid 33715607)
11. Hadamard J S 1911 Mouvement permanent lent d' une sphere liquide et visqueuse dans un liquide visqueux C. R. Acad. Sci., Paris 152 1735-52
12. Keh H J and Shiau S C 2000 Effects of inertia on the slow motion of aerosol particles Chem. Eng. Sci. 55 4415-21
13. Kim J H, Mulholland G W, Pui D Y H and Kukuck S R 2005 Slip correction measurements of certified PSL nanoparticles using a nanometer differential mobility analyzer (nano-DMA) for Knudsen number from 0.5 to 83 J. Res. Natl Inst. Stand. Technol. 110 31-54 (Pubitemid 40541710)
14. Le Clair B P and Hamielec A E 1972 A theoretical and experimental study of the internal circulation in water drops falling at terminal velocity in air J. Atmos. Sci. 29 728-40
15. Lovalenti P M and Brady J F 1993 The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds numbers J. Fluid Mech. 256 561-601
16. Maxey M R and Riley J J 1983 Equation of motion of a small rigid sphere in a non-uniform flow Phys. Fluids 26 883-9
17. Mei R, Lawrence C J and Adrian R J 1991 Unsteady drag on a sphere at finite reynolds number with small fluctuations in the free-stream velocity J. Fluid Mech. 233 613-31
18. Michaelides E E 2006 Particles, Bubbles and Drops: Their Motion, Heat and Mass Transfer (Singapore: World Scientific)
19. Michaelides E E and Feng Z-G 1994 The equation of motion of a small viscous sphere in an unsteady flow with interface slip Int. J. Multiph. Flow 21 315-21
20. Michaelides E E 2003 Hydrodynamic force and heat/mass transfer from particles, bubbles and drops - the Freeman scholar lecture J. Fluids Eng. 125 209-38
21. Millikan R A 1923 The general law of fall of a small spherical body through a gas and its bearing upon the nature of molecular reflection from surfaces Phys. Rev. 22 1-23
22. Proudman I and Pearson J R A 1956 Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder J. Fluid Mech. 2 237-62
23. Rybczynski W 1911 On the translatory motion of a fluid sphere in a viscous medium Bull. Acad. Sci. Cracow Ser. A 40-46
24. Taylor T D and Acrivos A 1964 On the deformation and drag of a falling viscous drop at low Reynolds number J. Fluid Mech. 18 466-76