Paper
On Bessel Composite Function of the Third Order and First Kind Solution to Damped Wave Conduction and Relaxation Equation
- Authors:
- Kal Renganathan Sharma
- Abstract
- Damped wave conduction and relaxation equation is solved in three dimensions in order to gauge the ampacity risks in PCB interconnections. V = u/r substitution is used and the temperature profile is obtained in three dimensions and in one dimension. In the creeping transfer limit, the spatio-temporal profile is given as a modified Bessel composite function in space and time of the third order. Three regimes of solution are identified; (i) lag regime; (ii) rising regime given by Bessel composite function in space and time and; (iii) rising regime given by modified Bessel composite function in space and time. In the general case, the order of the solution is found to be 7/2 and the order of the solution is two in the case of one dimension.
- Keywords
- Damped Wave Conduction and Relaxation; Relativistic Transformation; Bessel Composite Function of Third Order; Ampacity Risks; Second Law of Thermodynamics
- StartPage
- 26
- EndPage
- 34
- Doi