Abstract




 
   

IJE TRANSACTIONS C: Aspects Vol. 28, No. 12 (December 2015) 1802-1807   

PDF URL: http://www.ije.ir/Vol28/No12/C/14-2153.pdf  
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  INVESTIGATION OF THE EFFECTS OF NON-LINEAR AND NON-HOMOGENEOUS NON-FOURIER HEAT CONDUCTION EQUATIONS ON TEMPERATURE DISTRIBUTION IN A SEMI-INFINITE BODY
 
S. Saedodin, M. J. Noroozi and D. D. Ganj
 
( Received: July 03, 2015 – Accepted: December 24, 2015 )
 
 

Abstract    In this paper, the non-Fourier heat conduction in a semi-infinite body was examined. The heat wave non-Fourier heat conduction model was used for thermal analysis. Thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. The heat source was also considered temperature-dependent which resulted in a non-homogeneous equation. The Mac-Cormack predictor-corrector numerical method was employed to solve the equations. It was concluded that, the non-linear analysis of the non-Fourier heat transfer problems is of great importance. Also, the case which assumed a temperature-dependent heat source had a considerable difference with the case where a constant heat source was assumed.

 

Keywords    Non-Fourier, Heat Conduction, Numerical Method, Non-Linear Equation, Non-Homogeneous Equation.

 

چکیده    در این مقاله مسأله­ ی انتقال حرارت غیر فوریه ­ای در یک جسم نیمه بی­نهایت مورد بررسی قرار گرفت. برای تحلیل حرارتی مسئله از مدل هدایت حرارتی غیر فوریه­ ای موج حرارتی استفاده شد. ضریب هدایت حرارتی متغیر با دما فرض شد و بدین ترتیب معادله­ ی غیر خطی بدست آمد. علاوه بر آن منبع تولید حرارت نیز متغیر با دما در نظر گرفته شد که معادله ­ای غیر همگن بدست آمد. برای حل معادلات، روش عددی پیشگو-اصلاحگر مک کورمک به کار گرفته شد. نتیجه گرفته شد که تحلیل غیر خطی مسائل انتقال حرارت غیر فوریه­ ای اهمیت زیادی دارند و همچنین متغیر فرض کردن منبع حرارتی با دما، تغییرات زیادی را درنتایج نسبت به حالتی که منبع تولید حرارت ثابت فرض شود، به وجود می­ آورد

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