Abstract
The two-dimensional form of the equation of diffusion
u
∂
χ
∂
x
=
∂
∂
z
A
z
∂
χ
∂
z
(
z
>
0
)
,
under steady mean conditions in a fluid moving with mean velocity
u
is discussed in the ease where u and
A
z
vary as
z
m
and
z
1-
m
respectively (0 <
m
< 1). Integrals are constructed which satisfy boundary conditions of the types arising in physical problems, and the results are applied to the theory of evaporation into a turbulent atmosphere.
Reference11 articles.
1. Brom wich 1908 Infinite series.
2. Proc. Roy;Soc. A,1921
3. G oursat 1923 Cours 4. Proc. Roy;Pasquill;Soc. A,1943
5. R iem ann-W eber 1901 Partielle Diff.-Qleichungen 2 § 38.
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