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Unique characteristics of biologically active materials such as fruits, vegetables, and other products require special care in handling. Following harvest and separation from producing plants, glucose is catabolized to produce carbon dioxide, water vapor, and heat, with attendant internal energy generation. Consider a single apple, spherical in shape, diameter 80 mm, which is ventilated with air at 5°C and h= 7.5 W/m2.K. Within the apple thermal energy is uniformly generated at 4000.0J/kg.day. The density and thermal conductivity of the apple are 840 kg/m3 and 0.5 W/m.K. a. Derive an equation for temperature distribution inside the apple. Use the boundary conditions @r R, T = Ts, and @r=0, dT/dr 0. Ts is the surface temperature of sphere to be determined using convection equation. b. Determine the apple center and surface temperatures.

Unique characteristics of biologically active materials such as fruits, vegetables, and other products require special care in handling. Following harvest and separation from producing plants, glucose is catabolized to produce carbon dioxide, water vapor, and heat, with attendant internal energy generation. Consider a single apple, spherical in shape, diameter 80 mm, which is ventilated with air at 5°C and h= 7.5 W/m2.K. Within the apple thermal energy is uniformly generated at 4000.0J/kg.day. The density and thermal conductivity of the apple are 840 kg/m3 and 0.5 W/m.K. a. Derive an equation for temperature distribution inside the apple. Use the boundary conditions @r R, T = Ts, and @r=0, dT/dr 0. Ts is the surface temperature of sphere to be determined using convection equation. b. Determine the apple center and surface temperatures.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Unique characteristics of biologically active materials such as fruits, vegetables, and other products require special care in handling. Following harvest and separation from producing plants, glucose is catabolized to produce carbon dioxide, water vapor, and heat, with attendant internal energy generation. Consider a single apple, spherical in shape, diameter 80 mm, which is ventilated with air at 5°C and h= 7.5 W/m2.K. Within the apple thermal energy is uniformly generated at 4000.0J/kg.day. The density and thermal conductivity of the apple are 840 kg/m3 and 0.5 W/m.K. a. Derive an equation for temperature distribution inside the apple. Use the boundary conditions @r R, T = Ts, and @r=0, dT/dr 0. Ts is the surface temperature of sphere to be determined using convection equation. b. Determine the apple center and surface temperatures.
Transcribed Image Text:Unique characteristics of biologically active materials such as fruits, vegetables, and other products require special care in handling. Following harvest and separation from producing plants, glucose is catabolized to produce carbon dioxide, water vapor, and heat, with attendant internal energy generation. Consider a single apple, spherical in shape, diameter 80 mm, which is ventilated with air at 5°C and h= 7.5 W/m2.K. Within the apple thermal energy is uniformly generated at 4000.0J/kg.day. The density and thermal conductivity of the apple are 840 kg/m3 and 0.5 W/m.K. a. Derive an equation for temperature distribution inside the apple. Use the boundary conditions @r R, T = Ts, and @r=0, dT/dr 0. Ts is the surface temperature of sphere to be determined using convection equation. b. Determine the apple center and surface temperatures.
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