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An experiment is to be conducted to determine heat transfer coefficient on the surfaces of tomatoes that are placed in cold water at 7 [Degree Celsius]. The tomatoes (k=0.59 W/(m*K), alpha=(0.141*10^-6) m^2/s, p=999kg/m^3, Cp=3.99KJ/(kg*K)) with an initial uniform temperature of 30 [Degree Celsius] are spherical in shape with a diameter of 8cm. After a period of 2 hours, the temperatures at the center and the surface of the tomatoes to be 10.0 [Degree Celsius] and 7.1 [Degree Celsius], respectively. Using the Heisler charts determine the heat transfer coefficient and the amount of transfer during this period if there are eight such tomatoes in water. Im confused on how to use the Heisler chart can someone please explain

          An experiment is to be conducted to determine heat transfer coefficient on the surfaces of tomatoes that are placed in cold water at 7 [Degree Celsius]. The tomatoes (k=0.59 W/(m*K), alpha=(0.141*10^-6) m^2/s, p=999kg/m^3, Cp=3.99KJ/(kg*K)) with an initial uniform temperature of 30 [Degree Celsius] are spherical in shape with a diameter of 8cm. After a period of 2 hours, the temperatures at the center and the surface of the tomatoes to be 10.0 [Degree Celsius] and 7.1 [Degree Celsius], respectively. Using the Heisler charts determine the heat transfer coefficient and the amount of transfer during this period if there are eight such tomatoes in water. Im confused on how to use the Heisler chart can someone please explain
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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An experiment is to be conducted to determine heat transfer coefficient on the surfaces of tomatoes that are placed in cold water at 7 [Degree Celsius]. The tomatoes (k=0.59 W/(m*K), alpha=(0.141*10^-6) m^2/s, p=999kg/m^3, Cp=3.99KJ/(kg*K)) with an initial uniform temperature of 30 [Degree Celsius] are spherical in shape with a diameter of 8cm. After a period of 2 hours, the temperatures at the center and the surface of the tomatoes to be 10.0 [Degree Celsius] and 7.1 [Degree Celsius], respectively. Using the Heisler charts determine the heat transfer coefficient and the amount of transfer during this period if there are eight such tomatoes in water. Im confused on how to use the Heisler chart can someone please explain
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An experiment is to be conducted to determine the heat transfer coefficient on the surfaces of tomatoes that are placed in cold water at 7°C. The tomatoes (k=0.59 W/m.K, α=0.141x10⁻⁶ m²/s, ρ=999 kg/m³, cₚ=3.99 kJ/kg.K) with an initial uniform temperature of 30°C are spherical in shape with a diameter of 8 cm. After a period of 2 hours, the temperature at the centre and the surface of the tomatoes are measured to be 10.0°C and 7.1°C, respectively. Determine the heat transfer coefficient and the amount of heat transfer during this period if there are eight such tomatoes in water.

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Transcript

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00:01 In the question, we have given conductivity is 0 .59 watt per meter kelvin.
00:08 Alpha is 0 .141 into 10 to the power minus 6 meter square per second.
00:15 Rho is given as 999 kilogram per meter cube.
00:20 Heat capacity cp is given as initial temperature is 30 degree celsius.
00:26 The infinity is 7 degree celsius.
00:29 After heating, the surface temperature is 7 .3 degree celsius.
00:35 Center temperature is 10 degree celsius.
00:39 The diameter of the tomato is 8 centimeter.
00:44 The number of the tomato is 8.
00:47 Now, we are assuming tomatoes are completely sphere.
00:52 Second, heat conduction is 1d.
00:55 Third, thermal properties are constant.
00:59 Now, we have to check if one term approximation solution is applicable or not.
01:06 For that, we have to find the fourier number.
01:10 Fourier number tau is alpha t by r square.
01:15 We have t as 2 or which is 0 .6345 greater than 0 .2...
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