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Solutions of transport phenomena problems by averaging techniques

Taşınım olayı problemlerinin ortalama tekniklerle çözümleri

  1. Tez No: 56883
  2. Yazar: MUSTAFA ÖZYILMAZ
  3. Danışmanlar: Belirtilmemiş.
  4. Tez Türü: Yüksek Lisans
  5. Konular: Kimya Mühendisliği, Chemical Engineering
  6. Anahtar Kelimeler: Belirtilmemiş.
  7. Yıl: 1996
  8. Dil: İngilizce
  9. Üniversite: Orta Doğu Teknik Üniversitesi
  10. Enstitü: Fen Bilimleri Enstitüsü
  11. Ana Bilim Dalı: Kimya Mühendisliği Ana Bilim Dalı
  12. Bilim Dalı: Belirtilmemiş.
  13. Sayfa Sayısı: 122

Özet

ABSTRACT SOLUTIONS OF TRANSPORT PHENOMENA PROBLEMS BY AVERAGING TECHNIQUES ÖZYILMAZ, Mustafa M.S., Department of Chemical Engineering Supervisor : Prof. Dr. Ismail TOSUN Co-Supervisor : Asst. Prof. Dr. Ahmet N. ERASLAN August 1996, 104 pages Averaging technique has been extensively used in the solutions of transport phenomena problems. The main disadvantage of this method is the lack of relationship which ties the values of the independent variable or its derivatives at the surface to the averaged variable. In this study, two techniques have been developed and applied to linear equations to overcome this deficiency. In the first technique the local value is expressed as the sum of averaged variable and its deviation. Then the deviation is expressed in terms of the averaged variable and its derivatives by the use of the closure scheme. The second technique is based on the evaluation of the integrals by Hermite expansion. iiiThe proposed techniques have been applied to the problems such as, heat conduction in a cooling fin, diffusion and chemical reaction inside a porous catalyst, unsteady-state heat transfer from a spherical solid to an infinite volume of fluid, unsteady laminar flow in a tube, mass diffusion into a slab from a limited volume of well-stirred fluid, convective-diffusive transport with a wall reaction in Couette flow, and convective-diffusive transport and reaction in arterial stenosis. Comparison with the exact solutions reveals the success of the proposed techniques. Keywords : Transport Phenomena, Area Averaging, Hermitian Polynomial IV

Özet (Çeviri)

ABSTRACT SOLUTIONS OF TRANSPORT PHENOMENA PROBLEMS BY AVERAGING TECHNIQUES ÖZYILMAZ, Mustafa M.S., Department of Chemical Engineering Supervisor : Prof. Dr. Ismail TOSUN Co-Supervisor : Asst. Prof. Dr. Ahmet N. ERASLAN August 1996, 104 pages Averaging technique has been extensively used in the solutions of transport phenomena problems. The main disadvantage of this method is the lack of relationship which ties the values of the independent variable or its derivatives at the surface to the averaged variable. In this study, two techniques have been developed and applied to linear equations to overcome this deficiency. In the first technique the local value is expressed as the sum of averaged variable and its deviation. Then the deviation is expressed in terms of the averaged variable and its derivatives by the use of the closure scheme. The second technique is based on the evaluation of the integrals by Hermite expansion. iiiThe proposed techniques have been applied to the problems such as, heat conduction in a cooling fin, diffusion and chemical reaction inside a porous catalyst, unsteady-state heat transfer from a spherical solid to an infinite volume of fluid, unsteady laminar flow in a tube, mass diffusion into a slab from a limited volume of well-stirred fluid, convective-diffusive transport with a wall reaction in Couette flow, and convective-diffusive transport and reaction in arterial stenosis. Comparison with the exact solutions reveals the success of the proposed techniques. Keywords : Transport Phenomena, Area Averaging, Hermitian Polynomial IV

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