Numerical Modeling of the Flow of a Fluid Jet Containing Solid Particles towards the Plate

Year 2023, Volume: 23 Issue: 6, 1542 - 1550, 28.12.2023

Bahar Alanbel Ersin , Derya Karabulut , Faruk Örteş

https://doi.org/10.35414/akufemubid.1287525

Abstract

The flow of a viscous fluid containing solid particles in a certain profile and towards a moving plate covers the problems of different engineering fields. This phenomenon, modeled as a two-phase stagnation point flow, is also useful in solving problems in many application areas. For this reason, it is necessary to model the behavior of a Newtonian fluid containing spherical solid particles towards a moving horizontal plate under the influence of magnetic field and to determine the parameters that affect the behavior and to determine the scales of these effects. For this purpose, conservation of mass and equations of motion for fluid and granular phase were reduced to an ordinary differential equation system using appropriate similarity transformations and the equations were solved numerically employing bvc4c method. According to the obtained results, as the fluid-particle interaction parameter increases, the magnitude of the particle and fluid velocity components converged to each other. In addition, the increase in both the magnetic and the fluid-particle interaction parameters increases the shear stress magnitudes on the plate.

Keywords

Similarity Solutions, Stagnation Point Flow, Dusty Fluid

Katı Zerreler İçeren Bir Akışkan Hüzmesinin Plakaya Doğru Akışının Sayısal Yöntemlerle Modellenmesi

Abstract

Belli bir profilde katı zerreler barındıran viskoz bir akışkanın hareketli bir plakaya doğru akışı farklı mühendislik alanlarını ilgilendiren problemleri kapsamaktadır. İki fazlı durma noktası akışı olarak modellenen bu fenomen birçok uygulama alanındaki problemlerin çözümünde de kullanışlıdır. Bu sebeple küresel katı zerreler içeren Newtonian bir akışkanın hareketli bir yatay plakaya doğru gerçekleştirdiği akışın manyetik alan etkisi altındaki davranışının modellenmesi ve davranış üzerinde etkili olan parametrelerin belirlenmesi ile bu etkilerin ölçeklerinin tespiti gereklidir. Bunun için akışkan ve zerre faz için kütlenin korunumu ve hareket denklemleri uygun benzerlik dönüşümleri kullanılarak adi diferansiyel denklem takımına dönüştürülmüş ve elde dilen denklemlere bvp4c algoritması uygulanarak sayısal çözümler elde edilmiştir. Elde edilen sonuçlara göre akışkan-zerre etkileşim parametresi arttıkça zerre ve akışkanın hız bileşenlerinin büyüklükleri birbirlerine yaklaşmaktadır. Ayrıca hem manyetik parametrenin hem de akışkan-zerre etkileşim parametresinin artışı plaka üzerindeki kayma gerilmesi değerlerini artırmaktadır.

Keywords

Benzerlik Dönüşümleri, Durma Noktası Akışı, İki Fazlı Akış

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