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Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2?
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Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clea...
Problem Statement:
Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m2 and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor? The viscosity of hydrogen is 0.009ns/m2.
Solution:
Step 1: Calculate the Reynolds number
Reynolds number (Re) = (4 * Mass flow rate) / (π * Diameter * Viscosity)
where Mass flow rate = Density * Volumetric flow rate
Density of hydrogen = Pressure / (Gas constant * Temperature) = 2 MN/m2 / (8.314 * 293 K) = 273.8 kg/m3
Volumetric flow rate = π * (Diameter/2)2 * Velocity
Velocity = Mass flow rate / (Density * π * (Diameter/2)2)
Substituting the values, Reynolds number (Re) = 273.8 * Velocity * Diameter / 0.009
Reynolds number (Re) = 3038.9 * Velocity
Step 2: Determine the flow regime
The flow regime is determined based on the Reynolds number as follows:
- If Re < 2300,="" the="" flow="" is="" />
- If 2300 < re="" />< 4000,="" the="" flow="" is="" />
- If Re > 4000, the flow is turbulent
In this case, Re = 3038.9 * Velocity
Since Re > 2300, the flow is turbulent
Step 3: Calculate the friction factor
The friction factor (f) is determined based on the Darcy-Weisbach equation:
ΔP/L = f * (Density * Velocity2) / 2
where ΔP/L = (Upstream pressure - Downstream pressure) / Length of the pipe
Substituting the values, ΔP/L = (2.6 MN/m2 - 2 MN/m2) / 500 m = 0.012 MN/m
f = 0.012 * 2 / (273.8 * Velocity2)
Step 4: Calculate the effective rate of work of the compressor
The effective rate of work of the compressor (W) is determined based on the following equation:
W = Mass flow rate * (Upstream pressure - Downstream pressure) / Density
Substituting the values, W = Density * Volumetric flow rate * (2.6 MN/m2 - 2 MN/m
Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m2 and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor? The viscosity of hydrogen is 0.009ns/m2.
Solution:
Step 1: Calculate the Reynolds number
Reynolds number (Re) = (4 * Mass flow rate) / (π * Diameter * Viscosity)
where Mass flow rate = Density * Volumetric flow rate
Density of hydrogen = Pressure / (Gas constant * Temperature) = 2 MN/m2 / (8.314 * 293 K) = 273.8 kg/m3
Volumetric flow rate = π * (Diameter/2)2 * Velocity
Velocity = Mass flow rate / (Density * π * (Diameter/2)2)
Substituting the values, Reynolds number (Re) = 273.8 * Velocity * Diameter / 0.009
Reynolds number (Re) = 3038.9 * Velocity
Step 2: Determine the flow regime
The flow regime is determined based on the Reynolds number as follows:
- If Re < 2300,="" the="" flow="" is="" />
- If 2300 < re="" />< 4000,="" the="" flow="" is="" />
- If Re > 4000, the flow is turbulent
In this case, Re = 3038.9 * Velocity
Since Re > 2300, the flow is turbulent
Step 3: Calculate the friction factor
The friction factor (f) is determined based on the Darcy-Weisbach equation:
ΔP/L = f * (Density * Velocity2) / 2
where ΔP/L = (Upstream pressure - Downstream pressure) / Length of the pipe
Substituting the values, ΔP/L = (2.6 MN/m2 - 2 MN/m2) / 500 m = 0.012 MN/m
f = 0.012 * 2 / (273.8 * Velocity2)
Step 4: Calculate the effective rate of work of the compressor
The effective rate of work of the compressor (W) is determined based on the following equation:
W = Mass flow rate * (Upstream pressure - Downstream pressure) / Density
Substituting the values, W = Density * Volumetric flow rate * (2.6 MN/m2 - 2 MN/m
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Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2?
Question Description
Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2?.
Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2?.
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Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2?, a detailed solution for Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? has been provided alongside types of Hydrogen is pumped from a reservoir at 2 MN/m2 pressure through a clean horizontal mild steel pipe 50 mm diameter and 500 m long. The downstream pressure is also 2 MN/m and the pressure of this gas is raised to 2.6 MN/m' by a compressor at the upstream end of the pipe. The conditions of flow are isothermal and the temperature of the gas is 293 K. What is the flow rate and what is the effective rate of work of the compressor. Viscosity of hydrogen is 0.009ns/m2? theory, EduRev gives you an
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