Exact analytical solution for nonuniform multiconductor transmission lines with the aid of the solution of a corresponding matrix Riccati equation (Exakte analytische Lösung für ungleichförmige Vielfachleiter mit Hilfe der Lösung einer korrespondirenden Matrix-Riccati-Gleichung)

1998 ◽  
Vol 81 (2) ◽  
pp. 117-120
Author(s):  
J. Nitsch
Keyword(s):  
Analytical Solution ◽  
Riccati Equation ◽  
Transmission Lines ◽  
Exact Analytical Solution ◽  
Matrix Riccati Equation ◽  
Multiconductor Transmission Lines

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

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