The paper concerns itself with the problem of heat transport
in a homogeneous, incompressible, isotropic, semi-infinite solid
whose boundary is nonstationary. The methods of solution in the one
dimensional case are discussed. Numerical examples and a method
for arriving at the solutions published by Bailey and Lakin in their
paper...
The continuation of conductive temperature fields is being
considered. The continuation of a field involves the extrapolation of a
field known over a limited domain to an adjacent domain in such a way
that it satisfies the heat conduction differential equation and other
imposed constraints. Continuations forward in time and...
Analytical and numerical study of steady-state laminar natural
convection and conduction has been performed for an enclosure between
concentric vertical cylinders. The inner and outer cylinders were
isothermal, and the connecting top and bottom walls were adiabatic. A
concentric baffle was included in the annulus, and the flow field and...
In this thesis we consider boundary and initial value problems
associated with the melting of homogeneous cylinders and
spheres. The study includes the temperature distribution in cylinders
and spheres which are perfectly insulated at the surface and
subjected to a heat input respectively along the axis and at the
center....
A steady state, axial flow thermal conductivity test apparatus was designed and constructed to operate between room temperature and approximately 4 Kelvin, and to be compatible with existing electronic instrumentation and a continuous flow cryostat. The test design included a radiation shield that had its temperature profile matched to that...
The effect of fluid axial thermal conduction on one-dimensional liquid metal natural circulation and its linear stability was performed through non-dimensional analysis, steady-state assessment, and linear perturbation evaluation. The Nyquist criterion and a root search method were employed to find the linear stability boundary of both forward and backward circulations....