Heat conduction in spheres packed in an infinite regular cubical array Academic Article uri icon


  • Steady-state temperature solutions are sought for an infinite cubical array of spheres. Heat transfer is by conduction and constant properties are assumed. The problem is treated as a unit cube containing a sphere at the center. Due to symmetry the cube is further subdivided into a wedge representing the unit cell. Applying continuity and boundary conditions, the analytical temperature solutions are obtained. For the case in which the sphere is assumed to represent porosity in a solid, a porosity correction to thermal conductivity is obtained in the form: f(p) = e-2,14p 0.0 < p < 0.30 = 0.92 - 1.34.p 0.30 < p < 0.50 where p = fractional porosityf(p) = porosity correction factor, f(p) 1. 1981.

published proceedings

  • International Journal of Heat and Mass Transfer

author list (cited authors)

  • Cunningham, M. E., & Peddicord, K. L.

citation count

  • 42

complete list of authors

  • Cunningham, ME||Peddicord, KL

publication date

  • July 1981