Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
EXAMPLE 5–6 Water Discharge from a Large Tank A large tank open to the atmosphere is filled with water to a height of 5 m from the outlet tap (Fig. 5–39). A tap near the bottom of the tank is now opened, and water flows out from the smooth and rounded outlet. Determine the water velocity at the outlet. •0 T |SOLUTION A tap near the bottom of a tank is opened. The exit velocity of water from the tank is to be determined. 5 m Water Assumptions 1 The flow is incompressible and irrotational (except very close to the walls). 2 The water drains slowly enough that the flow can be approxi- mated as steady (actually quasi-steady when the tank begins to drain). Analysis This problem involves the conversion of flow, kinetic, and potential energies to each other without involving any pumps, turbines, and wasteful components with large frictional losses, and thus it is suitable for the use of the Bernoulli equation. We take point 1 to be at the free surface of water so that P = Patm (open to the atmosphere), Vị = 0 (the tank is large relative to the outlet), and z, = 5 m and z, = 0 (we take the reference level at the center of the outlet). Also, P, = Patm (water discharges into the atmosphere). Schematic Then the Bernoulli equation simplifies to P vị 2=#+ 2g 2g 2g

EXAMPLE 5–6 Water Discharge from a Large Tank A large tank open to the atmosphere is filled with water to a height of 5 m from the outlet tap (Fig. 5–39). A tap near the bottom of the tank is now opened, and water flows out from the smooth and rounded outlet. Determine the water velocity at the outlet. •0 T |SOLUTION A tap near the bottom of a tank is opened. The exit velocity of water from the tank is to be determined. 5 m Water Assumptions 1 The flow is incompressible and irrotational (except very close to the walls). 2 The water drains slowly enough that the flow can be approxi- mated as steady (actually quasi-steady when the tank begins to drain). Analysis This problem involves the conversion of flow, kinetic, and potential energies to each other without involving any pumps, turbines, and wasteful components with large frictional losses, and thus it is suitable for the use of the Bernoulli equation. We take point 1 to be at the free surface of water so that P = Patm (open to the atmosphere), Vị = 0 (the tank is large relative to the outlet), and z, = 5 m and z, = 0 (we take the reference level at the center of the outlet). Also, P, = Patm (water discharges into the atmosphere). Schematic Then the Bernoulli equation simplifies to P vị 2=#+ 2g 2g 2g

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
See similar textbooks
icon
Related questions
Question

Write what you understand in this example.

EXAMPLE 5–6 Water Discharge from a Large Tank A large tank open to the atmosphere is filled with water to a height of 5 m from the outlet tap (Fig. 5-39). A tap near the bottom of the tank is now opened, and water flows out from the smooth and rounded outlet. Determine the water velocity at the outlet. T SOLUTION A tap near the bottom of a tank is opened. The exit velocity of 5 m Water water from the tank is to be determined. Assumptions 1 The flow is incompressible and irrotational (except very close to the walls). 2 The water drains slowly enough that the flow can be approxi- mated as steady (actually quasi-steady when the tank begins to drain). Analysis This problem involves the conversion of flow, kinetic, and potential energies to each other without involving any pumps, turbines, and wasteful components with large frictional losses, and thus it is suitable for the use of the Bernoulli equation. We take point 1 to be at the free surface of water so that P, = Patm (open to the atmosphere), V, = 0 (the tank is large relative to the outlet), and z = 5 m and z, = 0 (we take the reference level at the center of the outlet). Also, P, = Patm (water discharges into the atmosphere). Then the Bernoulli equation simplifies to FIGURE 5-39 Schematic for Example 5-6. P Vị- V? + z, =++ 2g 2g 2g ... ...
Transcribed Image Text:EXAMPLE 5–6 Water Discharge from a Large Tank A large tank open to the atmosphere is filled with water to a height of 5 m from the outlet tap (Fig. 5-39). A tap near the bottom of the tank is now opened, and water flows out from the smooth and rounded outlet. Determine the water velocity at the outlet. T SOLUTION A tap near the bottom of a tank is opened. The exit velocity of 5 m Water water from the tank is to be determined. Assumptions 1 The flow is incompressible and irrotational (except very close to the walls). 2 The water drains slowly enough that the flow can be approxi- mated as steady (actually quasi-steady when the tank begins to drain). Analysis This problem involves the conversion of flow, kinetic, and potential energies to each other without involving any pumps, turbines, and wasteful components with large frictional losses, and thus it is suitable for the use of the Bernoulli equation. We take point 1 to be at the free surface of water so that P, = Patm (open to the atmosphere), V, = 0 (the tank is large relative to the outlet), and z = 5 m and z, = 0 (we take the reference level at the center of the outlet). Also, P, = Patm (water discharges into the atmosphere). Then the Bernoulli equation simplifies to FIGURE 5-39 Schematic for Example 5-6. P Vị- V? + z, =++ 2g 2g 2g ... ...
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS