Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid 2 is connected to point 1 and 2. The specific weights for Fluid 1 and 2 are and , respectively. Select the correct expression.___________
Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid 2 is connected to point 1 and 2. The specific weights for Fluid 1 and 2 are and , respectively. Select the correct expression.___________
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Shown in the figure, Fluid 1 is flowing in a horizontal tube and a U-tube manometer containing Fluid 2 is connected to point 1 and 2. The specific weights for Fluid 1 and 2 are and , respectively.
Select the correct expression.___________
A. B. C. D. p1 = p2

Transcribed Image Text:Shown in the figure, Fluid 1 is flowing in a horizontal tube, and a U-tube manometer containing Fluid 2 is connected to points 1 and 2. The specific weights for Fluid 1 and 2 are \(\gamma_1\) and \(\gamma_2\), respectively.
Select the correct expression.
**Diagram Explanation:**
- The horizontal tube is shown with Fluid 1 flowing through it with a velocity \(V\).
- Two points are marked: Point 1 on the left side of the tube and Point 2 on the right.
- A U-tube manometer, partially filled with Fluid 2, is connected to the tube at these points.
- The heights \(h_1\) and \(h_2\) in the manometer represent the levels of Fluid 2.
**Options:**
- A. \( p_1 + (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \)
- B. \( p_1 + \gamma_1 \frac{h_2 - h_1}{2} = p_2 \)
- C. \( p_1 - (\gamma_1 - \gamma_2) \left(\frac{h_2 - h_1}{2}\right) = p_2 \)
- D. \( p_1 = p_2 \)
Expert Solution

Step 1
According to hydrostatic law, the pressure at any location fluid inside a static fluid is the product of the depth of the fluid with specific weight of that fluid.
Here, P is the pressure, h is the depth of the required point inside the fluid and is the specific weight of the fluid.
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