A Numerical Approach for Modeling of Turbulent Newtonian Fluid Flow in Eccentric Annulus

Year 2018, Volume: 29 Issue: 4, 8497 - 8513, 01.07.2018

Erman Ülker Sıla Övgü Korkut Uysal Mehmet Sorgun

https://doi.org/10.18400/tekderg.336801

Cited By: 3

Abstract

Turbulent flow is a
complicated process that frequently appears not only in nature but also in
engineering applications. Numerical methods frequently are used to solve
turbulent flow problems due to the trouble in solving Navier-Stokes
equations.  Navier-Stokes equations including inner pipe rotation
effect are solved via two different numerical techniques. The efficiency of the
proposed numerical technique is compared with the obtained solutions of
Newton-Raphson method. The proposed method is computationally expensive,
however, it may allow tackling the non-linearity of challenging problems in
hydraulics. A mechanistic model including proposed numerical method is also
developed in order to predict pressure gradient for fully developed turbulent
flow through fully eccentric horizontal annulus including pipe rotation. The
computational frameworks are developed in MATLAB. Mathematical model is
confirmed by the experimental study, which is conducted in Izmir Katip Celebi
University.  Results show that
computational fluid model is a capable of estimating frictional pressure
gradient with an error of less than 14 %.

Keywords

eccentric annular flow; finite difference method; mechanistic modeling; newtonian fluid; pipe rotation; turbulent flow

A Numerical Approach for Modeling of Turbulent Newtonian Fluid Flow in Eccentric Annulus

Abstract

Türbülanslı akımlar, yalnızca doğada değil mühendislik
uygulamalarında da görülen karmaşık bir yapıdadır.  Navier-Stokes denklemlerinin türbülanslı
çözümlerinin karmaşık ve zor olmasından dolayı sayısal yöntemler sıklıkla
kullanılır. İki farklı sayısal teknik vasıtasıyla boru dönmesi hesaba katılmış
Navier-Stokes denklemleri çözülmüştür. Geliştirilen sayısal yöntemin etkinliği
Newton-Raphson method kullanılarak elde edilen sonuçlarla karşılaştırılmıştır.
Geliştirilen sayısal metot her ne kadar işlevsel olarak ağır olsa da,
hidrolikteki linear olmayan zor problemlerin çözümünü sağlamaya yol açabilir.
İç içe geçmiş borular arasından geçen tam gelişmiş türbülanslı akımın içteki
borunun dönmesi etkili olduğu basınç farklarının tayini için geliştirilmiş
sayısal metot ile birlikte bir mekanistik model geliştirilmiştir. Sayısal
hesaplamalar MATLAB’ta geliştirilen kodlarla yapılmıştır. Yapılan sayısal
hesaplamalar İzmir Katip Çelebi Üniversitesi’nde yapılan deneylerin
sonuçlarıyla teyit edilmiştir. Elde edilen sonuçlar, hesaplamalı akışkanlar
modelinin basınç gradyanını  %14’den daha
az bir hata ile tahmin ettiğini  göstermiştir.

Keywords

eksantrik borular arasındaki akış ; sonlu farklar metodu; mekanistik modelleme; newtonian akışkan; boru dönmesi; türbülanslı akış

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