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Solid Sphere, transient 1D.
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Radialspherical coordinates. Transient 1D.
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Infinite body, spherical coordinate,
Infinite body with a spherical void, transient 1D.
RS10
Infinite body with a spherical void,
a
<
r
<
, with
G
= 0 (Dirichlet) at
r
=
a
.
G
_{RS10}
(
r
,
t
r
^{}
,
) =
exp

 exp

RS20
Infinite body with a spherical void,
a
<
r
<
, with
G
/
r
= 0 (Neumann) at
r
=
a
. In the formula below,
B
_{1}
= 1 .
G
_{RS20}
(
r
,
t
r
^{}
,
)
=
exp

+ exp


exp
B
_{1}
+
B
_{1}
^{2}
x
erfc
+
RS30
Infinite body with a spherical void,
a
<
r
<
, with 
k
G
/
r
+
hG
= 0 (convection) at
r
=
a
. In the formula below,
B
_{1}
= 1 +
ha
/
k
.
G
_{RS30}
(
r
,
t
r
^{}
,
)
=
exp

+ exp


exp
B
_{1}
+
B
_{1}
^{2}
x
erfc
+
See case X30 for approximate values at small
(
t

)/
a
^{2}
.
Next:
Solid Sphere, transient 1D.
Up:
Radialspherical coordinates. Transient 1D.
Previous:
Infinite body, spherical coordinate,
Kevin D. Cole
20021231