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A pipe carrying water tapers from a cross-section of 0.3 m² at A to 0.15 m² at B, which is 6 m above the level of A. At A the velocity, assumed uniform, is 1.8 m s and the pressure 117 kPa gauge. If frictional effects are negligible, determine the pressure at В.

A pipe carrying water tapers from a cross-section of 0.3 m² at A to 0.15 m² at B, which is 6 m above the level of A. At A the velocity, assumed uniform, is 1.8 m s and the pressure 117 kPa gauge. If frictional effects are negligible, determine the pressure at В.

Elements Of Electromagnetics
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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**Problem Statement:** A pipe carrying water tapers from a cross-section of 0.3 m² at point A to 0.15 m² at point B, which is 6 m above the level of A. At point A, the velocity, assumed uniform, is 1.8 m/s, and the pressure is 117 kPa (gauge). If frictional effects are negligible, determine the pressure at point B. **Explanation:** This problem involves the application of the Bernoulli equation to determine the pressure at point B in a tapered pipe. Assumptions include incompressible, steady flow without friction. The problem provides the cross-sectional areas, height difference, initial flow velocity, and initial pressure. Use these inputs to compute the final pressure using fluid dynamics principles.
Transcribed Image Text:**Problem Statement:** A pipe carrying water tapers from a cross-section of 0.3 m² at point A to 0.15 m² at point B, which is 6 m above the level of A. At point A, the velocity, assumed uniform, is 1.8 m/s, and the pressure is 117 kPa (gauge). If frictional effects are negligible, determine the pressure at point B. **Explanation:** This problem involves the application of the Bernoulli equation to determine the pressure at point B in a tapered pipe. Assumptions include incompressible, steady flow without friction. The problem provides the cross-sectional areas, height difference, initial flow velocity, and initial pressure. Use these inputs to compute the final pressure using fluid dynamics principles.
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