The Rate of Heat Gain to the Iced Water, Cengel 2.63
grabcad
This project aims to close the psychological gap between manual calculations and FEA by presenting a spherical container case study. The container has an inner radius of 2m, outer radius of 2.1m, and thermal conductivity of 30 W/m·°C. It's filled with iced water at 0°C and experiences convection heat transfer from surrounding air at 25°C with a heat transfer coefficient of 18 W/m²·°C. The inner surface temperature is maintained at 0°C. Tasks include deriving the differential equation and boundary conditions for steady one-dimensional heat conduction, solving it to obtain temperature variation in the container, and evaluating the rate of heat gain to the iced water.
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