Homework problem for unsteady-state heat transfer Consider a product to be sterilized if its coldest location during heating reaches 115°C. Consider sterilization of potatoes where potatoes (4 cm diameter) is heated in steam at 121°C. Assume symmetrical heating of potatoes and the heat transfer coefficient between the steam and the potatoes is 20 W/m²K. The thermal diffusivity for potatoes is 1.5 x 107m²/s and the thermal conductivity is 0.4 W/m K. The potatoes are initially at 30°C. 1) Calculate the heating time needed for sterilization. 2) Calculate the temperature at the center of the potato after heating 1000 s and 2000 s. Plot how the temperature at the center changes with time t. 3) Calculate the temperature at the surface of the potato at 2000 s. Qualitatively plot how the temperature changes across the apple at t = 2000 s.

Elements Of Electromagnetics
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Homework problem for unsteady-state heat transfer
Consider a product to be sterilized if its coldest location during heating reaches 115°C. Consider
sterilization of potatoes where potatoes (4 cm diameter) is heated in steam at 121°C. Assume
symmetrical heating of potatoes and the heat transfer coefficient between the steam and the
potatoes is 20 W/m² K. The thermal diffusivity for potatoes is 1.5 × 107m²/s and the thermal
conductivity is 0.4 W/m K. The potatoes are initially at 30°C.
1) Calculate the heating time needed for sterilization.
2) Calculate the temperature at the center of the potato after heating 1000 s and 2000 s. Plot how
the temperature at the center changes with time t.
3) Calculate the temperature at the surface of the potato at 2000 s. Qualitatively plot how the
temperature changes across the apple at t = 2000 s.
Transcribed Image Text:Homework problem for unsteady-state heat transfer Consider a product to be sterilized if its coldest location during heating reaches 115°C. Consider sterilization of potatoes where potatoes (4 cm diameter) is heated in steam at 121°C. Assume symmetrical heating of potatoes and the heat transfer coefficient between the steam and the potatoes is 20 W/m² K. The thermal diffusivity for potatoes is 1.5 × 107m²/s and the thermal conductivity is 0.4 W/m K. The potatoes are initially at 30°C. 1) Calculate the heating time needed for sterilization. 2) Calculate the temperature at the center of the potato after heating 1000 s and 2000 s. Plot how the temperature at the center changes with time t. 3) Calculate the temperature at the surface of the potato at 2000 s. Qualitatively plot how the temperature changes across the apple at t = 2000 s.
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