Theoretical analysis of heat and mass transfer through eccentric spherical fluid shells at large peclet number

1976 ◽  
Vol 32 (4) ◽  
pp. 395-414 ◽  
Author(s):  
D. Maron Moalem ◽  
T. Miloh
Keyword(s):  
Mass Transfer ◽  
Theoretical Analysis ◽  
Heat And Mass Transfer ◽  
Peclet Number ◽  
Péclet Number ◽  
Spherical Fluid ◽  
Large Peclet Number

Mass transfer of particles located on the flow axis at large peclet number

1977 ◽  
Vol 12 (2) ◽  
pp. 218-226 ◽  
Author(s):  
Yu. P. Gupalo ◽  
A. D. Polyanin ◽  
Yu. S. Ryazantsev
Keyword(s):  
Mass Transfer ◽  
Peclet Number ◽  
Flow Axis ◽  
Péclet Number ◽  
Large Peclet Number

Low Peclet Number Heat and Mass Transfer from a Drop in an Electric Field

1979 ◽  
Vol 101 (3) ◽  
pp. 484-488 ◽  
Author(s):  
S. K. Griffiths ◽  
F. A. Morrison
Keyword(s):  
Mass Transfer ◽  
Electric Field ◽  
Exact Solutions ◽  
Heat And Mass Transfer ◽  
Digital Computer ◽  
Peclet Number ◽  
Perturbation Expansion ◽  
Regular Perturbation ◽  
Péclet Number

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.

Forced Heat and Mass Transfer From a Slightly Deformed Sphere at Small but Finite Peclet Numbers in Stokes Flow

2013 ◽  
Vol 135 (8) ◽  
Author(s):  
Zhi-Gang Feng
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Singular Perturbation ◽  
Perturbation Method ◽  
Heat And Mass Transfer ◽  
Stokes Flow ◽  
Peclet Number ◽  
Fundamental Problem ◽  
Singular Perturbation Method ◽  
Péclet Number

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.

scholarly journals The drag of a body moving transversely in a confined stratified fluid

1970 ◽  
Vol 43 (2) ◽  
pp. 407-418 ◽  
Author(s):  
M. R. Foster ◽  
P. G. Saffman
Keyword(s):  
Peclet Number ◽  
Slow Motion ◽  
Shear Layers ◽  
Stratified Fluid ◽  
Rotating Fluid ◽  
Péclet Number ◽  
Fluid Layers ◽  
Number Problem ◽  
Number Flow ◽  
Large Peclet Number

The slow motion of a body through a stratified fluid bounded laterally by insulating walls is studied for both large and small Peclet number. The Taylor column and its associated boundary and shear layers are very different from the analogous problem in a rotating fluid. In particular, the large Peclet number problem is non-linear and exhibits mixing of statically unstable fluid layers, and hence the drag is order one; whereas the small Peclet number flow is everywhere stable, and the drag is of the order of the Peclet number.

Concentration Distribution in the Wake of a Plane Surface Buried in a Porous Media in Alignment with the Flow Direction

2009 ◽  
Vol 283-286 ◽  
pp. 553-558
Author(s):  
João M.P.Q. Delgado ◽  
M. Vázquez da Silva
Keyword(s):  
Mass Transfer ◽  
Peclet Number ◽  
Numerical Solutions ◽  
Plane Surface ◽  
Flow Direction ◽  
Mathematical Expression ◽  
Mass Conservation ◽  
Mass Transfer Process ◽  
Packed Bed ◽  
Péclet Number

The present work describes the mass transfer process between a moving fluid and a slightly soluble flat surface buried in a packed bed of small inert particles with uniform voidage, by both advection and diffusion. Numerical solutions of the differential equation describing solute mass conservation were undertaken to obtain the concentration profiles, for each concentration level, the width and downstream length of the corresponding contour surface and the mass transfer flux was integrated to give the Sherwood number as a function of Peclet number. A mathematical expression that relates the dependence with the Peclet number is proposed to describe the approximate size of the diffusion wake downstream of the reactive solid mass.

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