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Journals / Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi / 2000 / Cilt: 15 - Sayı: 1

Boru ve kanallarda tam gelişmiş türbülanslı akışın K-$\varepsilon$ modeli ile nümerik çözümü

Numerical analysis of the fully developed turbulent flow in pipes and ducts by the standard K-$\varepsilon$ turbulence model

Gülhan KAPLAN
Tuncay YILMAZ
Pages
15–27
DOI
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AI Summary & Key Takeaways

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

Then, velocity profiles, friction coefficients and turbulent kinematic viscosity are obtained and compared with the available data in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, numerical results are obtained for incompressible fully developed turbulent flow both in pipes and channels with the standard k-$\varepsilon$ turbulence model.
📊
Key Findings & Data:Solution uses an iterative process to converge the solutions of velocity u, turbulence kinematic viscosity VT, turbulent kinetic energy k, and turbulent dissipation rate $\varepsilon$.
💡
Conclusion & Impact:Then, velocity profiles, friction coefficients and turbulent kinematic viscosity are obtained and compared with the available data in the literature.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, numerical results are obtained for incompressible fully developed turbulent flow both in pipes and channels with the standard k-$\varepsilon$ turbulence model. One-dimensional Navier-Stokes equation is nondimensionalized according to the k-£ turbulence model before the solution. The k-e solution was obtained using finite difference implicit method. Solution uses an iterative process to converge the solutions of velocity u, turbulence kinematic viscosity VT, turbulent kinetic energy k, and turbulent dissipation rate $\varepsilon$. Then, velocity profiles, friction coefficients and turbulent kinematic viscosity are obtained and compared with the available data in the literature.

Özet

Bu çalışmada, boru ve kanalda tam gelişmiş türbülanslı akışın k-$\varepsilon$ modeli ile nümerik çözümü elde edilmiştir. Öncelikle tek boyutlu Navier Stokes denklemi k-£ türbülans modeline göre boyutsuzlaştırılmış olup, elde edilen denklemin çözümü sonlu farklar metoduna göre yapılmıştır. Sonuç olarak ortalama hız, türbülans vizkositesi ve sürtünme katsayısı literatürdeki değerlerle karşılaştırılmıştır.

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Cite This Article

KAPLAN, G., YILMAZ, T. (2000). Boru ve kanallarda tam gelişmiş türbülanslı akışın K-$\varepsilon$ modeli ile nümerik çözümü. Çukurova Üniversitesi Mühendislik-Mimarlik Fakültesi Dergisi, Cilt: 15 - Sayı: 1, 15–27. https://ajindex.com/articles/350761

References (1)

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