ABSTRACT
Tðx; y; z; tÞ ¼ T0ðx; y; zÞ at t ¼ 0 ð2Þ
Tðx; y; z; tÞ ¼ f ðx; y; z; tÞ on d ðDirichlet conditionsÞ ð3Þ
k @ @n\
T ¼ hðT1 TÞ þ es ðT41 T4Þ on c ðgeneral Neumann conditionsÞ or k @
@n\ T ¼ qc on c
ðConstant Flux conditionsÞ
ð4Þ
where T is the temperature [C], r the density [kg m-3], c the heat capacity [J kg-1 C-1], k the thermal conductivity [W m-1 C-1], Q the volumetric heat generation [W m-3], and t the time [sec]. Dirichlet boundary condi-
tions correspond to the specification of a temperature
on the boundary. The function f(x, y, z, t) is then known,
n\ is the outward normal to the surface. Neumann condi-
tions reflect convection and radiation at the boundaries
with h the surface heat transfer coefficient [W m-2 C-1], T1 the ambient temperature, e the emission coefficient, s the Stefan-Boltzmann constant, and qc a fixed heat flux. The thermal properties of food and the surface
heat transfer coefficient can be found elsewhere in this
encyclopedia.
