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Water at 20°C is flowing through through a narrow section as is seen in the figure. There is a 20 kPa pressure difference between the upstream and throat section as seen. The velocity in the throat section is 10 m/s. What is the velocity (m/s) in the upstream pipe

Water at 20°C is flowing through through a narrow section as is seen in the figure. There is a 20 kPa pressure difference between the upstream and throat section as seen. The velocity in the throat section is 10 m/s. What is the velocity (m/s) in the upstream pipe

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Water at 20°C is flowing through through a narrow section as is seen in the figure. There is a 20 kPa pressure difference between the upstream and throat section as seen. The velocity in the throat section is 10 m/s. What is the velocity (m/s) in the upstream pipe?
**Flow Through a Narrow Section** *Problem Statement:* Water at 20°C is flowing through a narrow section as depicted in the figure. There is a 20 kPa pressure difference between the upstream and throat section. The velocity in the throat section is 10 m/s. What is the velocity (m/s) in the upstream pipe? *Diagram Explanation:* The image shows a pipe with a constricted region, commonly referred to as a "throat." The flow of water is indicated through this section, with a specified pressure difference and velocity at the throat. The objective is to determine the velocity of water in the wider, upstream section of the pipe. --- The problem utilizes principles of fluid dynamics, likely invoking Bernoulli's equation or the continuity equation to solve for the unknown velocity.
Transcribed Image Text:**Flow Through a Narrow Section** *Problem Statement:* Water at 20°C is flowing through a narrow section as depicted in the figure. There is a 20 kPa pressure difference between the upstream and throat section. The velocity in the throat section is 10 m/s. What is the velocity (m/s) in the upstream pipe? *Diagram Explanation:* The image shows a pipe with a constricted region, commonly referred to as a "throat." The flow of water is indicated through this section, with a specified pressure difference and velocity at the throat. The objective is to determine the velocity of water in the wider, upstream section of the pipe. --- The problem utilizes principles of fluid dynamics, likely invoking Bernoulli's equation or the continuity equation to solve for the unknown velocity.
The image shows a diagram illustrating fluid flow through a constricted pipe, demonstrating the Venturi effect. The pipe narrows in the middle and then widens again, creating a change in velocity and pressure. - **Arrow on the left**: Indicates the direction of fluid flow entering the pipe. - **Arrow labeled "V"**: Represents the velocity of fluid at the narrowest section of the pipe, where the velocity is higher due to the reduced cross-sectional area. - **Label "P"**: Indicates the pressure at this point in the flow. According to the Bernoulli principle, as the fluid velocity increases, the pressure decreases. This diagram is often used to explain the relationship between velocity and pressure in fluid dynamics, essential for understanding principles in hydraulics and aerodynamics.
Transcribed Image Text:The image shows a diagram illustrating fluid flow through a constricted pipe, demonstrating the Venturi effect. The pipe narrows in the middle and then widens again, creating a change in velocity and pressure. - **Arrow on the left**: Indicates the direction of fluid flow entering the pipe. - **Arrow labeled "V"**: Represents the velocity of fluid at the narrowest section of the pipe, where the velocity is higher due to the reduced cross-sectional area. - **Label "P"**: Indicates the pressure at this point in the flow. According to the Bernoulli principle, as the fluid velocity increases, the pressure decreases. This diagram is often used to explain the relationship between velocity and pressure in fluid dynamics, essential for understanding principles in hydraulics and aerodynamics.
Expert Solution
Step 1: Determination of upstream velocity

Given data:

P1-P2=10kPa

V2=10m/s

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