New solutions of the diffusion equation may be used to prescribe both the diffusion potential and the diffusional flow rate, along the moving curve
X
=
α
(
1
+
β
⋅
T
)
1
/
2
X = \alpha {\left ( {1 + \beta \cdot T} \right )^{1/2}}
, as arbitrary power series in the variable
(
α
(
1
+
β
⋅
T
)
1
/
2
)
\left ( {\alpha {{\left ( {1 + \beta \cdot T} \right )}^{1/2}}} \right )
, where
α
\alpha
and
β
\beta
are arbitrary constants and
T
T
is time.