TEMPERATURE DISTRIBUTION IN A SPACE
CONTAINING HEATED SPHERICAL INCLUSIONS
PERIODICALLY ARRANGED ALONG A STRAIGHT LINE

I. I. Argatov

UDC 536.2

Consideration has been given to the problem for the Laplace 
equation in a bed with a spherical hole, on whose surface a homogeneous 
Dirichlet condition is formed, with periodicity conditions on the 
bed's planes and asymptotic conditions at infinity, which assign a 
logarithmic growth to the solution. Solution of the problem has been 
reduced to an infinite system of linear algebraic equations for the 
coefficients of periodic singular solutions of the Laplace equation 
with a singularity at the center of the hole.

State Naval Academy, 15A Kosaya Liniya, St. Petersburg, 199026, Russia; 
email:argatov@home.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 77, No. 6, pp. 20-25, November-December, 2004. 
Original article submitted December 16, 2003.