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Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none?
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Consider one dimensional, steady state heat flow along two strain less...
Given data:
Diameter of bars (D) = 2 cm
Length of bars (L) = 3 cm
Pressure applied at ends (P) = 10 atm
Roughness of surface (ε) = 2.5 microns
Temperature difference (ΔT) = 100°C
Thermal conductivity of steel (k) = 20 W/mK
Thermal contact resistance between rods (Rc) = 1.016 K/W
Calculating the heat flow rate:
To calculate the heat flow rate, we can use the equation:
Q = (ΔT / (Rt + Rc)) * A
where Q is the heat flow rate, ΔT is the temperature difference, Rt is the thermal resistance across the bars, Rc is the thermal contact resistance between the bars, and A is the cross-sectional area of the bars.
Calculating the cross-sectional area:
The diameter of the bars is given as 2 cm, so the radius (r) is half of that, i.e., 1 cm = 0.01 m.
The cross-sectional area (A) can be calculated using the formula:
A = π * r^2
Calculating the thermal resistance:
The thermal resistance across the bars (Rt) can be calculated using the formula:
Rt = L / (k * A)
Calculating the heat flow rate:
Substituting the given values into the equations, we have:
A = π * (0.01 m)^2 = 0.000314 m^2
Rt = (0.03 m) / (20 W/mK * 0.000314 m^2) = 4.777 K/W
Substituting the values of ΔT, Rc, and A into the heat flow rate equation, we have:
Q = (100°C / (4.777 K/W + 1.016 K/W)) * 0.000314 m^2 = 15.121 W
Therefore, the heat flow rate along the bars is approximately 15.1 W. Hence, the correct answer is option c) 15.1 W.
Diameter of bars (D) = 2 cm
Length of bars (L) = 3 cm
Pressure applied at ends (P) = 10 atm
Roughness of surface (ε) = 2.5 microns
Temperature difference (ΔT) = 100°C
Thermal conductivity of steel (k) = 20 W/mK
Thermal contact resistance between rods (Rc) = 1.016 K/W
Calculating the heat flow rate:
To calculate the heat flow rate, we can use the equation:
Q = (ΔT / (Rt + Rc)) * A
where Q is the heat flow rate, ΔT is the temperature difference, Rt is the thermal resistance across the bars, Rc is the thermal contact resistance between the bars, and A is the cross-sectional area of the bars.
Calculating the cross-sectional area:
The diameter of the bars is given as 2 cm, so the radius (r) is half of that, i.e., 1 cm = 0.01 m.
The cross-sectional area (A) can be calculated using the formula:
A = π * r^2
Calculating the thermal resistance:
The thermal resistance across the bars (Rt) can be calculated using the formula:
Rt = L / (k * A)
Calculating the heat flow rate:
Substituting the given values into the equations, we have:
A = π * (0.01 m)^2 = 0.000314 m^2
Rt = (0.03 m) / (20 W/mK * 0.000314 m^2) = 4.777 K/W
Substituting the values of ΔT, Rc, and A into the heat flow rate equation, we have:
Q = (100°C / (4.777 K/W + 1.016 K/W)) * 0.000314 m^2 = 15.121 W
Therefore, the heat flow rate along the bars is approximately 15.1 W. Hence, the correct answer is option c) 15.1 W.
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Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none?
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Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? 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 Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none?.
Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? 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 Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none?.
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Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none?, a detailed solution for Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? has been provided alongside types of Consider one dimensional, steady state heat flow along two strain less steel bars, each of diameter 2cm, length 3cmand pressed together at ends with a pressure of 10atm.the surface has a roughness of 2.5 microns and overall temperature difference is 100C and k is 20 and thermal contact resistance between rods is 1.016k/W the heat flow rate along bars is a) 9.42W b) 12.3W c) 15.1W d) none? theory, EduRev gives you an
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