SENSITIVITY ANALYSIS OF TRANSIENT TEMPERATURE FIELD IN MICRODOMAINS WITH RESPECT TO THE DUAL-PHASE-LAG MODEL PARAMETERS

Author(s):  
Ewa Majchrzak ◽  
Bohdan Mochnacki
Author(s):  
C. Liu ◽  
B. Q. Li ◽  
C. Mi

This paper addresses the fast-transient heat conduction phenomena of a gold nanoparticle embedded in cancerous tissue in hyperthermia treatment. Dual phase lag model in spherical coordinates was employed and a semi-analytical solution of 1-D non-homogenous dual phase lag equation was presented. Results show that transient temperature depends dramatically on the lagging characteristic time of the surrounding tissue. Temperature predicted by dual phase lag model greatly exceeds that predicted by a classical diffusion model, with either a constant source or a pulsed source. This phenomenon is mainly attributed by the phase lag of heat flux of tissue. The overheating in short time scale and the consequent biological effect needs to be paid more attention in the related study.


2015 ◽  
Vol 362 ◽  
pp. 13-22
Author(s):  
Bohdan Mochnacki ◽  
Ewa Majchrzak

The aim of considerations is the numerical modeling of thermal processes proceeding in the system external heat source - protective clothing - air gap - human skin and next the application of sensitivity analysis methods to study the impact of clothing parameters on the transient temperature field in domain of skin tissue. From the mathematical point of view the problem is described by the system of Fourier and Pennes equations determining the transient temperature field in the successive sub-domains. This system is supplemented by the appropriate boundary and initial conditions. Taking into account the geometrical properties of the domain considered, the 1D solution seems to be sufficiently exact (e.g. chest or back). The sensitivity model is constructed on the basis of the so-called direct approach. The equations creating the mathematical model of the process considered are differentiated with respect to selected parameter. At the stage of numerical modeling the 1st scheme of the boundary element method for parabolic equations has been used.


2021 ◽  
Vol 127 (9) ◽  
Author(s):  
Mohamed I. A. Othman ◽  
Sarhan Y. Atwa ◽  
Ebtesam E. M. Eraki ◽  
Mohamed F. Ismail

Author(s):  
Noelia Bazarra ◽  
Ivana Bochicchio ◽  
José R. Fernández ◽  
Maria Grazia Naso
Keyword(s):  

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