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A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?
- a)Biot number and Fourier number
- b)Reynolds number and Prandlt number
- c)Nusselt number and Grashoff number
- d)Biot number and Froude number
Correct answer is option 'A'. Can you explain this answer?
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A hot steel spherical ball is suddenly dipped into a low temperature o...
Instantaneous Center Temperature of the Ball using a Heisler Chart
To determine the instantaneous center temperature of a hot steel spherical ball when it is suddenly dipped into a low-temperature oil bath, we can use a Heisler chart. The Heisler chart is a graphical tool that provides a solution to transient heat conduction problems.
The Heisler chart is based on two dimensionless parameters: the Biot number and the Fourier number.
1. Biot Number:
The Biot number (Bi) is a dimensionless number that relates the heat transfer resistance within a solid to the heat transfer resistance at the surface. It can be calculated using the formula:
Bi = hL/k
where h is the convective heat transfer coefficient, L is a characteristic length, and k is the thermal conductivity of the material. The Biot number characterizes the relative importance of convection to conduction heat transfer.
2. Fourier Number:
The Fourier number (Fo) is a dimensionless number that represents the ratio of the time of heat conduction to the characteristic time of the system. It can be calculated using the formula:
Fo = αt/L^2
where α is the thermal diffusivity of the material, t is the time, and L is the characteristic length. The Fourier number characterizes the relative importance of conduction to time.
Using the Heisler chart, we can find the instantaneous center temperature of the ball by locating the intersection of the Biot number and the Fourier number on the chart. The intersection point gives the dimensionless temperature profile at a specific time.
Answer:
Therefore, to determine the instantaneous center temperature of the ball using a Heisler chart, we need to use the Biot number and the Fourier number. Option A, which includes the Biot number and the Fourier number, is the correct answer.
To determine the instantaneous center temperature of a hot steel spherical ball when it is suddenly dipped into a low-temperature oil bath, we can use a Heisler chart. The Heisler chart is a graphical tool that provides a solution to transient heat conduction problems.
The Heisler chart is based on two dimensionless parameters: the Biot number and the Fourier number.
1. Biot Number:
The Biot number (Bi) is a dimensionless number that relates the heat transfer resistance within a solid to the heat transfer resistance at the surface. It can be calculated using the formula:
Bi = hL/k
where h is the convective heat transfer coefficient, L is a characteristic length, and k is the thermal conductivity of the material. The Biot number characterizes the relative importance of convection to conduction heat transfer.
2. Fourier Number:
The Fourier number (Fo) is a dimensionless number that represents the ratio of the time of heat conduction to the characteristic time of the system. It can be calculated using the formula:
Fo = αt/L^2
where α is the thermal diffusivity of the material, t is the time, and L is the characteristic length. The Fourier number characterizes the relative importance of conduction to time.
Using the Heisler chart, we can find the instantaneous center temperature of the ball by locating the intersection of the Biot number and the Fourier number on the chart. The intersection point gives the dimensionless temperature profile at a specific time.
Answer:
Therefore, to determine the instantaneous center temperature of the ball using a Heisler chart, we need to use the Biot number and the Fourier number. Option A, which includes the Biot number and the Fourier number, is the correct answer.
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Community Answer
A hot steel spherical ball is suddenly dipped into a low temperature o...
In case of Heisler chart,
So, Biot number and Fourier number are required to determine instantaneous centre temperature of the ball.
Hence, the correct option is (A).
So, Biot number and Fourier number are required to determine instantaneous centre temperature of the ball.
Hence, the correct option is (A).
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A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer?
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A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer? 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 A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer?.
A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer? 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 A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hot steel spherical ball is suddenly dipped into a low temperature oil bath. Which of the following dimensionless parameters are required to determine instantaneous center temperature of the ball using a Heisler chart?a)Biot number and Fourier number b)Reynolds number and Prandlt number c)Nusselt number and Grashoff number d)Biot number and Froude numberCorrect answer is option 'A'. Can you explain this answer?.
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