ABSTRACT
T&F Cat # K10695, Chapter 8, Page 291, 15-6-2010
The applications of the Green’s function (GF) solution approach to the problems posed in the spherical coordinate system are discussed in this chapter. The general heat conduction equation for linear flow of heat in spherical polar coordinates has the form
1 r2
∂
∂r
( r2
∂T
∂r
) + 1
r2 sin θ ∂
∂θ
( sin θ
∂T
∂θ
) + 1
r2 sin2 θ ∂2T
+ 1 k g(r , θ, φ, t) = 1
α
∂T
∂t
(8.1)
where T = T (r , θ, φ, t), g represents the generation rate per unit volume (W/m3) within the spherical region, and k is constant.
