Low peclet number particle-to-fluid heat and mass transfer in packed beds

1978 ◽  
Vol 33 (7) ◽  
pp. 913-919 ◽  
Author(s):  
Holger Martin
1979 ◽  
Vol 101 (3) ◽  
pp. 484-488 ◽  
Author(s):  
S. K. Griffiths ◽  
F. A. Morrison

An electric field, when applied to a dielectric drop suspended in another such fluid, generates a circulating motion. The low Peclet number transport from the drop is investigated analytically using a regular perturbation expansion. A digital computer is used to obtain exact solutions to the resulting equations. These solutions yield accurate results up to a Peclet number of at least 60.


2013 ◽  
Vol 135 (8) ◽  
Author(s):  
Zhi-Gang Feng

The fundamental problem of heat and mass transfer from a slightly deformed sphere at low but finite Peclet numbers in Stokes flow is solved by a combined regular and singular perturbation method. The deformed sphere is assumed to be axisymmetric and its shape is described by a power series in a small parameter; the correction to the Nusselt number due to the deformation of the sphere is obtained through a regular perturbation with respect to this parameter. On the contrary, the correction to the Nusselt number due to the small Peclet number is derived by applying a singular perturbation method. The analytical solution is derived for the averaged Nusselt number in terms of the Peclet number and the deformation parameter.


1976 ◽  
Vol 31 (1) ◽  
pp. 9-13 ◽  
Author(s):  
Terukatsu Miyauchi ◽  
Hiroshi Kataoka ◽  
Tatsuji Kikuchi

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