Design and Stress Analysis of Extraterrestrial ... - The Black Vault

I
The exponential logarithmic dependence is
In(b/r)
In (b6a)
The law of temperature gradient variation along the radius f(r)
can be represented, in many cases, in the form of a power dependence
At =ato -r
Ab--l (2.13)
where n = 1, 2, 3, ... , n.
If we substitute expression (2.13) into (2.10), we obtain the calculation
formulas for computing stresses:
ar
2 -a 0- 1 b (b--a)"+' (-a)+
6,b2 -a0 r 2 (b - a)[ n + n+2 -
r 2 (b ' [(b --r)"+ 2 (b a)Y -- '" b{b-r,"+i bfb- a)n '1l
,-(b--a)" [I---+2 -" +I n+ + I
:7.=Fatr2-:. a2 I b (b-a)n~ 1 (b ~-a,"+ 2
Sb ?.-a 2 - r2-b --a/" n+ I - n + 2 j
I [(b--r) n 2 (b--a)"+?-" b b--r.)"'+l_+ b (b-a)" +i
r-a(I-a,Ln -- n+2 n +I + n+ '
- bL-_ ý.) n
t ~(2. 1•)
If the heat removal in the fuel element is accomplished from the
surface of the internal opening, then the gradient will be
*
d.....Ad (
r -a \4
b-a/ (2.15)
where n = 1, 2, 3, ... , n.
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