International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

The inherent optimality in steady conduction of heat

Ahmet Z. Sahin
Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.
Email: [email protected].

  •  Accepted: 29 November 2011
  •  Published: 23 December 2011



The optimality in heat conduction processes in solid materials is studied analytically. Based on the second law of thermodynamics and the definition of entropy a new thermodynamic property, temheat, is introduced.  A balance equation relevant to temheat is derived by modifying the entropy balance. Principle of temheat destruction minimization is applied to several steady heat conduction problems. It is shown that for all steady heat conduction problems, the thermodynamic quantity, the rate of total temheat destruction, is always minimized. The principle of temheat destruction minimization helps to better interpret the natural heat conduction phenomena and to obtain numerical solutions in heat conduction problems.


Key words: Conduction, heat transfer, optimization, temheat; temheat destruction minimization.