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Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tube
Two fold increases in flow velocity by varying mass flow rate
It may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in character
Two fold increases in flow velocity by varying mass flow rate
It may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in character
- a)64.1% decrease
- b)64.1% increase
- c)74.1�crease
- d)74.1% increases
Correct answer is option 'D'. Can you explain this answer?
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Investigate the effect of following condition on the average value of ...
h 2/h 1 = (V 2/V 1) 0.8 = .0741 = 74.1%
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Investigate the effect of following condition on the average value of ...
Effect of Two-fold Increase in Flow Velocity on the Average Value of Heat Transfer Coefficient in Flow through a Tube
In this problem, we are investigating the effect of a two-fold increase in flow velocity on the average value of the heat transfer coefficient in flow through a tube. The problem assumes that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in nature.
To analyze this problem, we can use the Dittus-Boelter equation, which relates the average value of the heat transfer coefficient (h) to the flow velocity (v), the tube diameter (d), and the fluid properties (density and viscosity). The Dittus-Boelter equation for turbulent flow in a tube is given by:
h = 0.023 * (Re^0.8) * (Pr^0.4) * (μ/ρ)^0.4 * (k/d)
Where:
h = Average heat transfer coefficient
Re = Reynolds number (ρ * v * d/μ)
Pr = Prandtl number (μ * Cp/k)
μ = Fluid viscosity
ρ = Fluid density
k = Fluid thermal conductivity
d = Tube diameter
Cp = Fluid specific heat capacity
Now, let's analyze the effect of a two-fold increase in flow velocity on the average value of the heat transfer coefficient using the Dittus-Boelter equation.
1. Reynolds Number (Re):
The Reynolds number is directly proportional to the flow velocity. Therefore, a two-fold increase in flow velocity will result in a two-fold increase in the Reynolds number.
2. Prandtl Number (Pr):
The Prandtl number is a property of the fluid and remains constant for a given fluid. Therefore, there is no change in the Prandtl number due to the increase in flow velocity.
3. Fluid Viscosity (μ) and Density (ρ):
The problem assumes that there is no change in the temperature of the liquid and the tube wall. Therefore, there is no change in fluid viscosity and density.
4. Fluid Thermal Conductivity (k):
The fluid thermal conductivity is also assumed to remain constant as there is no change in the fluid or tube wall temperature.
5. Tube Diameter (d):
The tube diameter remains constant and does not change.
By analyzing the Dittus-Boelter equation, we can see that a two-fold increase in the Reynolds number will result in a 64.1% increase in the average value of the heat transfer coefficient (h). Therefore, the correct answer is option 'D', which states that the average value of the heat transfer coefficient will increase by 74.1%.
In conclusion, a two-fold increase in flow velocity will lead to a 74.1% increase in the average value of the heat transfer coefficient in flow through a tube, assuming no change in the temperature of the liquid and the tube wall, and turbulent flow conditions.
In this problem, we are investigating the effect of a two-fold increase in flow velocity on the average value of the heat transfer coefficient in flow through a tube. The problem assumes that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in nature.
To analyze this problem, we can use the Dittus-Boelter equation, which relates the average value of the heat transfer coefficient (h) to the flow velocity (v), the tube diameter (d), and the fluid properties (density and viscosity). The Dittus-Boelter equation for turbulent flow in a tube is given by:
h = 0.023 * (Re^0.8) * (Pr^0.4) * (μ/ρ)^0.4 * (k/d)
Where:
h = Average heat transfer coefficient
Re = Reynolds number (ρ * v * d/μ)
Pr = Prandtl number (μ * Cp/k)
μ = Fluid viscosity
ρ = Fluid density
k = Fluid thermal conductivity
d = Tube diameter
Cp = Fluid specific heat capacity
Now, let's analyze the effect of a two-fold increase in flow velocity on the average value of the heat transfer coefficient using the Dittus-Boelter equation.
1. Reynolds Number (Re):
The Reynolds number is directly proportional to the flow velocity. Therefore, a two-fold increase in flow velocity will result in a two-fold increase in the Reynolds number.
2. Prandtl Number (Pr):
The Prandtl number is a property of the fluid and remains constant for a given fluid. Therefore, there is no change in the Prandtl number due to the increase in flow velocity.
3. Fluid Viscosity (μ) and Density (ρ):
The problem assumes that there is no change in the temperature of the liquid and the tube wall. Therefore, there is no change in fluid viscosity and density.
4. Fluid Thermal Conductivity (k):
The fluid thermal conductivity is also assumed to remain constant as there is no change in the fluid or tube wall temperature.
5. Tube Diameter (d):
The tube diameter remains constant and does not change.
By analyzing the Dittus-Boelter equation, we can see that a two-fold increase in the Reynolds number will result in a 64.1% increase in the average value of the heat transfer coefficient (h). Therefore, the correct answer is option 'D', which states that the average value of the heat transfer coefficient will increase by 74.1%.
In conclusion, a two-fold increase in flow velocity will lead to a 74.1% increase in the average value of the heat transfer coefficient in flow through a tube, assuming no change in the temperature of the liquid and the tube wall, and turbulent flow conditions.
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Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer?
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Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer?.
Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Investigate the effect of following condition on the average value of heat transfer coefficient in flow through a tubeTwo fold increases in flow velocity by varying mass flow rateIt may be presumed that there is no change in the temperature of the liquid and the tube wall, and that the flow through the tube is turbulent in charactera)64.1% decreaseb)64.1% increasec)74.1�creased)74.1% increasesCorrect answer is option 'D'. Can you explain this answer?.
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