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DÜZENSİZ, SABİT VEYA ÖTELENEN/DÖNEN DÜZLEMLERDE ISI İLETİMİ İÇİN SAYISAL FORMÜLASYON GELİŞTİRİLMESİ

A NUMERICAL FORMULATION OF HEAT CONDUCTION IN IRREGULAR, STATIC OR TRANSLATING/ROTATING, PLANAR DOMAINS

Journal Name:

  • Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

Publication Year:

  • 2014

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
A new approach for the solution of heat conduction equation is presented, which is applicable to all coordinate systems in two- and three-dimensional Euclidean as well as Riemannian space. The equation is in component form and is directly applicable to the numerical computation This general form of the heat conduction equation is then used to construct a technique for calculating the transient temperature field in irregular, static or translating/rotating, planar domains. A method to generate planar grids in irregular domains, defined only by their boundary curves, is also discussed.
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Abstract (Original Language): 
Riemannian uzayı gibi, iki üç boyutlu bütün Euclidean koordinat sistemlerine uygulanabilecek, ısı iletim denkleminin çözümü için yeni bir yaklaşım sunulmuştur. Denklem bileşenlerine ayrılmış olduğundan doğrudan sayısal hesaplamalarda kullanılabilir. Isı iletim denkleminin bu formu, düzensiz sabit veya ötelenen/dönen düzlemsel bölgelerde geçici sıcaklık alanının hesaplanması için bir yöntem oluşturulmasında kullanılır. Sadece sınır eğrileri ile tanımlanan düzensiz alanlarda düzlemsel ağlar oluşturmak için türetilen yöntem ayrıca tartışılmıştır.
FULL TEXT (PDF): 
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REFERENCES

References: 

1. Thompson, J.F., Warsi, Z.U.A., Mastin, C.W.,
“Numerical Grid Generation, Foundations and
Applications”, Elsevier Science Publishing Co.,
Inc., 1985.
2. Wathen, A.J., “Time-resolved observation of
electron-phonon relaxation in copper,” Phys Rev
Lett, Cilt 58, 1212–1215, 1992.
3. McCorquodale, P., Colella, P., Johansen, H., “A
Cartesian grid embedded boundary method for the
heat equation on irregular domains,” Journal of
Computational Physics, Cilt 173, No 2, 620–635,
2001.
4. Beckett, G., Mackenzie, J.A., Robertson, M.L., “A
moving mesh finite element method for the
solution of two-dimensional Stefan problems,”
Journal of Computational Physics, Cilt 168, No
2, 500–518, 2001.
5. Kuvyrkin, G.N., Titov, A.V., “On problems of
heat conductivity with a moving boundary,”
Izvestiya Vysshikh Uchebnykh Zavedenii,
Mashinostroenie, Cilt 12, 136–139, 1979.
6. Gilmore, S.D., Guceri, S.I., “Three-dimensional
solidification, a numerical approach”, Numerical
Heat Transfer, Cilt 14, No 2, 165–186, 1988.
7. Chin, J.H., “Finite element analysis for conduction
and ablation moving boundary,” AIAA Pap AIAA
Thermophysics Conference, 15th, July 14-16,
1980.
8. Aris, R., “Vectors, tensors, and the basic equations
of fluid mechanics”, Dover Publications, 1990.
9. Synge, J.L., “Tensor Calculus”. University of
Toronto Press, 1969
10. Heinbockel, J.H., “Introduction to Tensor
Calculus and Continuum Mechanics”. Trafford
Publishing, 2001.
11. Truesdell, C., “The Physical components of
vectors and Tensors," Journal of Applied Math.
Mech., Cilt 33, 245-356,1953.
12. Ozisik, M.N., “Finite Difference Methods in Heat
Transfer”. CRC Press, 1994.
13. Fluent Users Guide, Fluent Inc. 2010.

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