Journals / Isı Bilimi ve Tekniği Dergisi / 2015 / Cilt: 35 - Sayı: 2

DİKDÖRTGENSEL FİNLERDE DOĞRUSAL OLMAYAN ISI TRANSFERİ VE SICAKLIĞA BAĞLI FİZİKSEL BÜYÜKLÜKLER İÇİN ANALİTİK ÇÖZÜMLER

NONLINEAR HEAT TRANSFER IN RECTANGULAR FINS AND EXACT SOLUTIONS WITH TEMPERATURE DEPENDENT PROPERTIES

Pages
29–35
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The presented formulas enable us to better understand the physical properties of interest in terms of the fin base heat transfer rate as well as fin efficiency and fin tip temperature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It is aimed to present general exact solution formulae valid for the nonlinear heat transfer of fin problems in this paper.
📊
Key Findings & Data:Although some analytical solutions were previously worked out for temperature dependent thermal conductivity and heat transfer coefficients, they are shown to be inadequate in some cases.
💡
Conclusion & Impact:The presented formulas enable us to better understand the physical properties of interest in terms of the fin base heat transfer rate as well as fin efficiency and fin tip temperature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

It is aimed to present general exact solution formulae valid for the nonlinear heat transfer of fin problems in this paper. Although some analytical solutions were previously worked out for temperature dependent thermal conductivity and heat transfer coefficients, they are shown to be inadequate in some cases. The presented formulas enable us to better understand the physical properties of interest in terms of the fin base heat transfer rate as well as fin efficiency and fin tip temperature.

Özet

Bu makalede fin problemlerinin doğrusal olmayan ısı transferi için geçerli olan genel çözüm formüllerinin ortaya konması hedeflenmektedir. Her nekadar sıcaklığa bağlı ısı geçirgenliği ve ısı katsayıları hakkında daha önceden bazı çalışmalar yapılmış olsa da, bazı hallerde bu çalışmaların yetersiz oldukları gösterilmiştir. Bu makalede sunulan yeni formüller fin taban ısı transferi, fin verimliliği ve fin bitim noktası sıcaklığı gibi ilgi çekici fiziksel özellikleri daha iyi anlamamıza ve analiz etmemize yardımcı olacaktır.

🔖

Cite This Article

TURKYİLMAZOGLU, M. (2022). DİKDÖRTGENSEL FİNLERDE DOĞRUSAL OLMAYAN ISI TRANSFERİ VE SICAKLIĞA BAĞLI FİZİKSEL BÜYÜKLÜKLER İÇİN ANALİTİK ÇÖZÜMLER. Isı Bilimi ve Tekniği Dergisi, Cilt: 35 - Sayı: 2, 29–35. https://ajindex.com/articles/542536

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Abramowitz, M. and Stegun, I. A., Handbook of mathematical functions. Dover Publications, 1955.
  2. Aziz, A. and Bouaziz, M. N., A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity. Energy Conversion and Management, 52, 2876–2882, 2011.
  3. Aziz, A. and Na, T. Y., Periodic heat transfer in fins with variable thermal parameters. Int. J. Heat Mass Transfer, 24, 1397–1404, 1981.
  4. Castell, A., Sole, C., Medrano, M., Roca, J., Cabeza, L. F., Garcia, D., Natural convection heat transfer coefficients in phase change material (pcm) modules with external vertical fins. Applied Thermal Engineering, 28, 1676–1686, 2008.
  5. Chowdhury, M. S. H. and Hashim, I., Analytical solutions to heat transfer equations by homotopyperturbation method revisited. Phys. Lett. A, 372, 1240–1243, 2008.
  6. Khani, F., Raji, M. A., Nejad, H. H. Analytic solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient. Commun. Nonlinear Sci. Numer. Simul., 14, 3327–3338, 2009.
  7. Kraus, A. D., Aziz, A., Welty, J., Extended Surface Heat Transfer. John Wiley & Sons, Inc., 2002.
  8. Lienard, J. H., A heat transfer textbook. Phlogiston Press, 2011.
  9. Mhlongo, M. D. and Moitsheki, R. J., Some exact solutions of nonlinear fin problem for steady heat transfer in longitudinal fin with different profiles. Advances in Mathematical Physics, 2014,1–6, 2014.
  10. Moitsheki, R. J., Hayat, T., Malik, M. Y., Some exact solutions of the fin problem with a power law temperaturedependent thermal conductivity. Nonlinear Analysis: Real World Applications, 11, 3287–3294, 2010.
  11. Moradi, A. and Ahmadikia, H., Analytical solution for different profiles of fin with temperature-dependent thermal conductivity. Mathematical Problems in Engineering, 2010, 1–6, 2010.
  12. Orzechowski, T., Determining local values of the heat transfer coefficient on a fin surface. Experimental Thermal and Fluid Science, 31, 947–955, 2007.
  13. Pakdemirli, M. and Sahin, A. Z., Group classification of fin equation with variable thermal properties. Int. J. Eng. Sci., 42, 1875–1889, 2004.
  14. Popovych, R. O., Sophocleous, C., Vaneeva, O. O., Exact solutions of a remarkable fin equation. Applied Mathematics Letters, 21, 209–214, 2008.
  15. Sharqawy, M. H. and Zubair, S. M., Efficiency and optimization of straight fins with combined heat and mass transfer –an analytical solution. Applied Thermal Engineering, 28, 2279–2288, 2008.
  16. Turkyilmazoglu, M., Exact