Controlling the Motion of Interfaces in Capillary Channels with Non-uniform Surface Wettability

Year 2023, , 675 - 691, 27.09.2023

Mehmet Alptug Boylu Umut Ceyhan

https://doi.org/10.21205/deufmd.2023257513

Cited By: 1

Abstract

The use of self-driven flows in microfluidic devices attracts many researchers as the external flow-driving mechanism is diminished or eliminated. One of the mechanisms providing such motions is generating a pressure difference across interfaces as in the case of the motion in capillary tubes. The capillarity, namely, the pressure difference across the interface due to its curvature drives the motion. This pressure depends on the interaction with the capillary walls and is controlled if one varies the surface energy of the walls. In this study, we search for the effects of surface energy on the motion of interfaces in capillary-driven flow. To this end, we model the motion of fluid particles in a capillary channel and integrate the governing equations using the binary lattice Boltzmann method for the two-phase flow. We, first, validate our solver for canonical static and dynamic problems. We, then, discuss two main contributions; we show how to deviate the interface speed from the ones moving in channels with uniform wall energies and discuss the conditions under which such an interface stagnates (like a passive valve in a channel). Tuning the wettability of the channel walls, we provide a simple condition for stopping the interface: the summation of the equilibrium contact angles interface make with the channel walls at the bottom and top wall need to satisfy $\theta_{eq}^{top}+\theta_{eq}^{bot} \geq \pi$. Configurations and wetting properties of different wettability regions play major roles together

Keywords

Capillarity, Wetting, Interfaces, Microfluidics, Lattice Boltzmann Method

Yüzey Islanabilirliği Üniform Olmayan Kılcal Kanallardaki Arayüzeylerin Hareketinin Kontrolü

Abstract

Mikroakışkan cihazlarda kendinden tahrikli akışların kullanımı, harici akış tahrik mekanizması azaltıldığı veya ortadan kaldırıldığı için birçok araştırmacının ilgisini çekmektedir. Bu tür hareketleri sağlayan mekanizmalardan biri de kılcal borulardaki harekette olduğu gibi arayüzeyler arasında bir basınç farkı oluşturmaktır. Kılcallık, yani giriş boyunca eğriliği nedeniyle oluşan basınç farkı, hareketi yönlendirir. Bu basınç kılcal duvarlarla etkileşime bağlıdır ve duvarların yüzey enerjisi değiştirilerek kontrol edilir. Bu çalışmada, yüzey enerjisinin kılcal tahrikli akıştaki arayüzlerin hareketi üzerindeki etkilerini araştırıyoruz. Bu amaçla, bir kılcal kanaldaki sıvı parçacıklarının hareketini modelliyoruz ve iki fazlı akış için ikili Lattice Boltzmann yöntemini kullanıyoruz. Öncelikle standart statik ve dinamik problemler için çözücümüzü doğruluyoruz. O halde iki ana katkıyı tartışıyoruz; arayüz hızının, tekdüze duvar enerjilerine sahip kanallarda hareket edenlerden nasıl saptırılacağını gösteriyoruz ve böyle bir arayüzün durduğu koşulları (bir kanaldaki pasif valf gibi) tartışıyoruz. Kanal duvarlarının ıslanabilirliğini ayarlayarak arayüzü durdurmak için basit bir koşul sağlıyoruz: arayüzün alt ve üst duvardaki kanal duvarlarıyla yaptığı denge temas açılarının toplamı $\theta_{eq}^{üst}+\theta_{eq}^{alt} \geq \pi$'yi karşılamalıdır. Farklı ıslanabilirlik bölgelerinin konfigürasyonları ve ıslanma özellikleri birlikte önemli rol oynar.

Keywords

Kapilarite, Islatma, Arayüzey, Mikroakışkanlar, Lattice Boltzmann Metodu

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