Reference no: EM131669205
Question -
Consider an experiment on the International Space Station, which is illustrated below. A cylindrical capillary of length L = 10 cm and inner diameter of dc = 100 µm (sealed at one end), is positioned to contact a droplet of water with diameter D which is floating in the ISS laboratory. Consider situations 1, 2, and 3 with droplet diameters of D1, D2, and D3 (Figure 1). At the moment when the capillary contacts the surface of the droplet (Figure 2), the liquid starts rising inside the capillary due to interface pressure formed across water-air interface. Water is completely hydrophilic with the inside surface of the capillary (contact angle is θ ≈ 0o). The temperature in the ISS laboratories is 20oC.
a) What is the maximum height of the liquid in the capillary (Figure 3) in situations 1, 2, and 3: h1-max, h2-max, and h3-max?
b) What is the diameter of droplets after liquid in capillary had reached maximum height in situations 1, 2, and 3: h1-max, h2-max, and h3-max?
c) Calculate the velocity of the meniscus in Case 1 (D1 = 100 [mm]), when the meniscus reaches ½ of the maximum level in the capillary (h1-max/2)
Data: dc = 100 [µm]; L = 0.1 [m]; D1 = 100 [mm]; D2 = 10 [mm]; D3 = 1 [mm];
Figure 1: Droplet floating and is about to touch the capillary in situations 1, 2, and 3.
![1416_figure.png](https://secure.expertsmind.com/CMSImages/1416_figure.png)
Figure 2: Droplet has just been in contact with the capillary.
![2436_figure1.png](https://secure.expertsmind.com/CMSImages/2436_figure1.png)
Figure 3: We anticipate that after liquid rose inside the capillary and reached steady state (capillary heights of h1, h2, and h3) the droplets diameters would reduce to D'1, D'2, and D'3. Is this anticipation entirely correct?
![2035_figure2.png](https://secure.expertsmind.com/CMSImages/2035_figure2.png)
Show all your work; and, state all assumptions. Please use homework format. The course is about engineering ethics, safety, and professionalism.