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In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss?
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In a smooth pipe of uniform diameter 10cm, it is recorded that an elev...
**Direction of Flow**
To determine the direction of flow between section A and B, we need to compare the pressures at each section. In this case, the pressure at section A is 55 kPa, while the pressure at section B is 30 kPa. Since the pressure at section B is lower than at section A, the flow will be from section A to section B.
**Total Head Loss**
The total head loss in a pipe can be calculated using the Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at different points in a pipe. The equation is given as:
Total head loss = (P1 - P2) / ρg + (V1^2 - V2^2) / 2g + (Z1 - Z2)
Where:
P1 and P2 are the pressures at sections A and B, respectively
ρ is the density of the fluid
g is the acceleration due to gravity
V1 and V2 are the velocities at sections A and B, respectively
Z1 and Z2 are the elevations at sections A and B, respectively
In this case, the density of the fluid is not given, but we can assume it to be water, which has a density of approximately 1000 kg/m³. The acceleration due to gravity is 9.8 m/s².
Substituting the given values into the equation, we have:
P1 = 55 kPa = 55,000 Pa
P2 = 30 kPa = 30,000 Pa
Z1 = 15 m
Z2 = 20 m
V1 = 1000 liters/s = 1 m³/s
Plugging these values into the equation, we get:
Total head loss = (55,000 - 30,000) / (1000 * 1000) + (1^2 - V2^2) / (2 * 9.8) + (15 - 20)
Simplifying the equation, we have:
Total head loss = 25,000 / (1000 * 1000) + (1 - V2^2) / (2 * 9.8) - 5
Since the flow rate is given as 1000 liters/s, we know that V1 = 1 m³/s. Therefore, we can substitute V1 into the equation:
Total head loss = 25,000 / (1000 * 1000) + (1 - V2^2) / (2 * 9.8) - 5
Now, we can solve this equation to find the value of V2 and subsequently calculate the total head loss.
To determine the direction of flow between section A and B, we need to compare the pressures at each section. In this case, the pressure at section A is 55 kPa, while the pressure at section B is 30 kPa. Since the pressure at section B is lower than at section A, the flow will be from section A to section B.
**Total Head Loss**
The total head loss in a pipe can be calculated using the Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at different points in a pipe. The equation is given as:
Total head loss = (P1 - P2) / ρg + (V1^2 - V2^2) / 2g + (Z1 - Z2)
Where:
P1 and P2 are the pressures at sections A and B, respectively
ρ is the density of the fluid
g is the acceleration due to gravity
V1 and V2 are the velocities at sections A and B, respectively
Z1 and Z2 are the elevations at sections A and B, respectively
In this case, the density of the fluid is not given, but we can assume it to be water, which has a density of approximately 1000 kg/m³. The acceleration due to gravity is 9.8 m/s².
Substituting the given values into the equation, we have:
P1 = 55 kPa = 55,000 Pa
P2 = 30 kPa = 30,000 Pa
Z1 = 15 m
Z2 = 20 m
V1 = 1000 liters/s = 1 m³/s
Plugging these values into the equation, we get:
Total head loss = (55,000 - 30,000) / (1000 * 1000) + (1^2 - V2^2) / (2 * 9.8) + (15 - 20)
Simplifying the equation, we have:
Total head loss = 25,000 / (1000 * 1000) + (1 - V2^2) / (2 * 9.8) - 5
Since the flow rate is given as 1000 liters/s, we know that V1 = 1 m³/s. Therefore, we can substitute V1 into the equation:
Total head loss = 25,000 / (1000 * 1000) + (1 - V2^2) / (2 * 9.8) - 5
Now, we can solve this equation to find the value of V2 and subsequently calculate the total head loss.
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In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss?
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In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss?.
In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss?.
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In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss?, a detailed solution for In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? has been provided alongside types of In a smooth pipe of uniform diameter 10cm, it is recorded that an elevation A having pressure of 55kpa and height of 15m. The section B having elevation of 20m its pressure recorded as 30kpa. The flow rate through a pipe id 1000liters/s. Determine the direction of flow between section A and B. What is the total head loss? theory, EduRev gives you an
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