- 作者: Yih, S. M.; Huang, P. G.
- 作者服務機構: Department of Chemical Engineering, Chung Yuan College of Science and Engineering, Chung Li, Taiwan, R.O.C.
- 中文摘要: --
- 英文摘要:
An analytical solution is presented for solid dissolution with or without
a first-order or zero-order chemical reaction in a laminar non-Newtonian power-law
model falling liquid film. For physical solid dissolution, the first ten eigenvalues
and related quantities are computed accurately by a quasi-numerical method. The
range of applicability of the asymptotic Leveque solution is also established. It is
found that the region of dimensionless axial contact length X* in which the Leveque
solution is valid diminishes rapidly with decreasing values of the power-law index
n. For solid dissolution with chemical reaction, a solution is obtained by a linear
superposition principle in terms of a "transient part" and a "steady part". In the
"transient part" solution, the first ten eigenvalues and related quantities are reported
for a variety of values of n and the dimensionless reaction rate parameter k1* or k0*.
For any given n, it is estimated that only when k1* or k0* is less than approximately
10 will the film thickness and complete velocity profile have any effect on the solid
dissolution rate. The non-Newtonian character of the liquid film also has a
significant influence. At a fixed X*, the reaction enhancement is largest when
n=∞ and is smallest when n=0. - 中文關鍵字: --
- 英文關鍵字: --