Explicit form of solutions of certain boundary value problems for the heat-conduction equation in elliptic coordinates
Abstract
The integral-transformation method of integral transformations with respect to two geometrical variables in an elliptic system of coordinates is used to solve the first and second boundary value problems for the linear equation of heat conduction. It is assumed that the prescribed functions which form the temperature field are symmetrical with respect to the axes of the regions under consideration. Formulas for calculating the large parametric zeros of the transcendental equations, instrumental in the calculations, are presented.
- Publication:
-
Analytical, Numerical and Analog Methods in Problems of Heat Conductivity
- Pub Date:
- 1977
- Bibcode:
- 1977anam.proc...18G
- Keywords:
-
- Boundary Value Problems;
- Conductive Heat Transfer;
- Elliptic Differential Equations;
- Integral Transformations;
- Circular Cylinders;
- Elliptical Cylinders;
- Roots Of Equations;
- Temperature Distribution;
- Transcendental Functions;
- Fluid Mechanics and Heat Transfer