Ch9.6 Radial Heat Flow

Introduction

  • Radial heat flow occurs in cylinders and spheres.
  • We formulate an ODE with respect to spatial variable \( r \) using heat flux \( \small{J(r)} \) for equilibrium temperature \( \small{U(r)} \) in wall.
  • Assumes angular and lateral symmetry, with \( \small{U(r,\theta) = U(r)} \).
  • Approach is similar to previous sections, except area \( \small{A(r)} \) through which heat conducts will depend on \( r \).