2.254. Find the temperature distribution in the space between
two coaxial cylinders of radii R1 and R 2 filled with a uniform heat
conducting substance if the temperatures of the cylinders are constant
and are equal to T1 and T2 respectively.
2.255. Solve the foregoing problem for the case of two concentric
spheres of radii. R1 and R2 and temperatures T1 and T2.
2.256. A constant electric current flows along a uniform wire
with cross-sectional radius R and heat conductivity coefficient x.
A unit volume of the wire generates a thermal power w. Find the
temperature distribution across the wire provided the steady-state
temperature at the wire surface is equal to To.
2.257. The thermal power of density w is generated uniformly
inside a uniform sphere of radius R and heat conductivity coefficient
x. Find the temperature distribution in the sphere provided the
steady-state temperature at its surface is equal to To.