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.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter8: Natural Convection
Section: Chapter Questions
Problem 8.8P
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