Temperature Distributions in Thin Circular Disks with Variable Thickness, Thermal Conductivity, and Heat Transfer Coefficient (A Direct Variational Approach using Rayleigh Ritz Approximation)
Abstract
An approximate solution for the temperature distribution
in a thin circular disk having variable thermal properties,
variable thickness, and a variable surface heat transfer coefficient
is presented. The method used was to cast the
governing differential equation into the equivalent variational
problem and solve using the direct method of Rayleigh
Ritz . Agreement between the approximate solution and an exact
solution for the case of a constant thickness disk with constant
properties was excellent. A simple computer program
which may be used to evaluate the temperature profiles is
provided.
NPS Report Number
Technical Note No. 66T-5Related items
Showing items related by title, author, creator and subject.
-
Analysis of a perturbation solution of the main problem in artificial satellite theory
Krambeck, Scott D. (Monterey, California: Naval Postgraduate School, 1990-09);The development of a universal solution of the main problem in artificial satellite theory has only recently been accomplished with the aid of high powered computers. The solution to this long standing problem is an ... -
Dynamic Characteristics of Liquid Motion in Partially Filled Tanks of a Spinning Spacecraft
Agrawal, B.N. (1993);This paper presents a boundary-layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary-value problems: an ... -
Dynamic Characteristics of Liquid Motion in Partially Filled tanks of Spinning Spacecraft
Agrawal, B.N. (1990);This paper presents a boundary layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary value problems: inviscid, ...