Unsteady heat or mass transport from a suspended particle at low Péclet numbers

Journal of Fluid Mechanics

Volumn 334, Issue , 1997, Pages 111-133

  Pozrikidis, C ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; GREEN'S FUNCTION; HEAT TRANSFER; MASS TRANSFER; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MIXING; OSCILLATIONS; PARTICLES (PARTICULATE MATTER); PULSATILE FLOW; SHEAR FLOW; VELOCITY;

COMPRESSIBLE FLUIDS; MATCHED ASYMPTOTIC EXPANSION METHOD; PECLET NUMBER;

SUSPENSIONS (FLUIDS);

HEAT TRANSFER; MASS TRANSFER; PECLET NUMBER; UNSTEADY FLOW;

FLUID MECHANICS; HEAT TRANSPORT; MASS TRANSPORT; SUSPENDED PARTICULATE MATTER;

EID: 0031104016     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096004338     Document Type: Article

References (29)

1. ABRAMZON, B. & ELATA, C. 1984 Unsteady heat transfer from a single sphere in Stokes flow. Intl J. Heat Mass Transfer 27, 687-695.
2. ACRIVOS, A. 1980 A note on the rate of heat or mass transfer from a small particle freely suspended in a linear shear flow. J. Fluid Mech. 98, 299-304.
3. ACRIVOS, A. & TAYLOR, T. D. 1962 Heat and mass transfer from single spheres in Stokes flow. Phys. Fluids 5, 387-394.
4. BATCHELOR, G. K. 1979 Mass transfer from a particle suspended in fluid with a steady linear ambient velocity distribution. J. Fluid Mech. 95, 369-400.
5. BATCHELOR, G. K. 1980 Mass transfer from a small particle suspended in turbulent fluid. J. Fluid Mech. 98, 609-623.
6. BOWEN, J. D. & STOLZENBACH, K. D. 1992 The concentration distribution near a continuous point source in steady homogeneous shear. J. Fluid Mech. 236, 95-110.
7. BRENNER, H. 1961 The Oseen resistance of a particle of arbitrary shape. J. Fluid Mech. 11, 604-610.
8. BRENNER, H. 1963 Forced convection heat and mass transfer at small Péclet numbers from a particle of arbitrary shape. Chem. Engng Sci. 18, 109-122.
9. BRUNN, P. O. 1984 Inertia effects for slow forced scalar transfer from a sphere. Acta Mechanica 50, 271-284.
10. CHANDRASEKHAR, S. 1943 Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 1-89.
11. CHOUDHURY, P. N. & DRAKE, D. G. 1971 Unsteady heat transfer from a sphere in a low Reynolds number flow. Q. J. Mech. Appl. Maths 24, 23-36.
12. CLIFT, R., GRACE, J. R. & WEBER, M. E. 1978 Bubbles, Drops, and Particles. Academic.
13. FENG, Z.-G. & MICHAELIDES, E. E. 1996 Unsteady heat transfer from a sphere at small Péclet numbers. Trans. ASME J. Fluids Engng 118, 96-102.
14. FOISTER, R. T. & VEN, T. G. M. VAN DE 1980 Diffusion of Brownian particles in shear flows. J. Fluid Mech. 96, 105-133.
15. FRANKEL, N. A. & ACRIVOS, A. 1968 Heat and mass transfer from small spheres and cylinders freely suspended in shear flow. Phys. Fluids 11, 1913-1918.
16. GIBERT, H. & ANGELINO, H. 1973 Influence de la pulsation sur les transferts de matière entre une sphère et un liquide. Can. J. Chem. Engng 51, 319-325.
17. GODDAAD, J. D. 1993 The Green's function for passive scalar diffusion in a homogeneously sheared continuum. Phys. Fluids A 5, 2295-2297.
18. GRADSHTEYN, I. S. & RYZHIK, J. M. 1980 Tables of Integrals, Series, and Products. Academic.
19. KAIPING, P. 1983 Unsteady forced convective heat transfer from a hot film in non-reversing and reversing shear flow. Intl J. Heat Mass Transfer 26, 545-557.
20. KONOPLIV, N. & SPARROW, E. M. 1971 Temperature and heat transfer history of a solid body in a forced convection flow. Q. Appl. Maths 29, 225-235.
21. KONOPLIV, N. & SPARROW, E. M. 1972 Unsteady heat transfer and temperature for Stokesian flow about a sphere. J. Heat Transfer 94, 266-272.
22. KRISHNAN, G. P. & LEIGHTON, D. T. JR 1992 Diffusion from a point source in a time-dependent unbounded extensional flow. Phys. Fluids A 11, 2327-2331.
23. LEIGHTON, D. T. JR 1989 Diffusion from an initial point distribution in an unbounded oscillating simple shear flow. Physicochem. Hydrodyn. 11, 377-386.
24. NOVIKOV, E. A. 1958 On turbulent diffusion in a flow with transverse velocity gradient. Prikl. Mat. Mek. 22, 412-414 (In Russian).
25. PEDLEY, T. J. 1972 On the forced heat transfer from a hot film embedded in the wall in two-dimensional unsteady flow. J. Fluid Mech. 55, 329-357.
26. PEDLEY, T. J. 1976 Heat transfer from a hot film in reversing shear flow. J. Fluid Mech. 78, 513-534.
27. POLYANIN, A. D. 1984 An asymptotic analysis of some nonlinear boundary-value problems of convective mass and heat transfer of reacting particles with the flow. Intl J. Heat Mass Transfer 27, 163-189.
28. POZRIKIDIS, C. 1989 A singularity method for unsteady linearized flow. Phys. Fluids A 1, 1508-1520.
29. TOWNSEND, A. A. 1960 The diffusion of heat spots in isotropic turbulence. Proc. R. Soc. Lond. A 209, 418-430.