KNOWN: Volumetric heat generation occurring within the cavity of a spherical shell of
prescribed dimensions. Convection conditions at outer surface.
FIND: Expression for steady-state temperature distribution in shell.
New Mr 1
KNOWN: Diameter and radial temperature of AISI 1010 carbon steel shaft. Convection
coefcient and temperature of furnace gases.
FIND: Time required for shaft centerline to reach a prescribed temperature.
KNOWN: Heat diffusion with internal heat generation for one-dimensional cylindrical,
radial coordinate system.
FIND: Heat diffusion equation.
ASSUMPTIONS: (1) Homogeneous medium.
ANALYSIS: Control volume has volume, V = Ar -dr =