Exact analytical solution for the powder pattern of orthorhombic-g systems. Predicted EPR powder spectrum and application to powder TiO2: Cr3+in the rutile phase

1996 ◽  
Vol 92 (12) ◽  
pp. 2303-2310 ◽  
Author(s):  
V. Beltrán-López ◽  
Brynmor Mile ◽  
Christopher C. Rowlands
Keyword(s):  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Rutile Phase ◽  
Powder Pattern ◽  
Powder Spectrum

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.

Exact analytical solution for quantum spins mixing in spin-1 Bose–Einstein condensates

2008 ◽  
Vol 17 (11) ◽  
pp. 4204-4206 ◽  
Author(s):  
Chen Ai-Xi ◽  
Qiu Wan-Ying ◽  
Wang Zhi-Ping
Keyword(s):  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Quantum Spins ◽  
Bose Einstein
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