Calculation of roots of transcendental equations in problems of determining thermal conductivity of cylinder with nonuniform boundary conditions
Abstract
A procedure was developed for solving transcendental equations containing Bessel functions. Formulae were obtained for determining the roots of the characteristic equation with using tables for Bessel functions. These formulae can be used to calculate the temperature fields during heating of cylinders in parallelcurrent flow and countercurrent flow with nonuniform boundary conditions.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 August 1984
 Bibcode:
 1984STIN...8534349G
 Keywords:

 Bessel Functions;
 Boundary Conditions;
 Cylindrical Bodies;
 Thermal Conductivity;
 Transcendental Functions;
 Approximation;
 Boundaries;
 Heating;
 Fluid Mechanics and Heat Transfer