Q2// Consider a special ball made of steel (p- 5000 kg/m', Cp- 300 J/kg. k, A= 60 m²). The initial temperature of the ball is 300 K. It is immersed in a large oil tank at 400 K. The convective heat transfer coefficient, h at the sphere surface is 3000 W/m³. k. Assume that there is no radial temperature gradient inside the ball. Use Euler's method to find the temperature of the sphere at t = 15 sec after it was immersed in the oil tank. Use a step size of h= 5 sec. The energy balance equation of the ball is given by the following equation: dT pCp dt -=-hA(T-T₂)

Structural Analysis
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Chapter2: Loads On Structures
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Q2// Consider a special ball made of steel (p- 5000 kg/m', Cp- 300 J/kg. k, A= 60 m²). The
initial temperature of the ball is 300 K. It is immersed in a large oil tank at 400 K. The convective
heat transfer coefficient, h at the sphere surface is 3000 W/m³. k. Assume that there is no radial
temperature gradient inside the ball. Use Euler's method to find the temperature of the sphere at t
= 15 sec after it was immersed in the oil tank. Use a step size of h= 5 sec. The energy balance
equation of the ball is given by the following equation:
dT
pCp
-=-hA(T-T₂)
dt
Transcribed Image Text:Q2// Consider a special ball made of steel (p- 5000 kg/m', Cp- 300 J/kg. k, A= 60 m²). The initial temperature of the ball is 300 K. It is immersed in a large oil tank at 400 K. The convective heat transfer coefficient, h at the sphere surface is 3000 W/m³. k. Assume that there is no radial temperature gradient inside the ball. Use Euler's method to find the temperature of the sphere at t = 15 sec after it was immersed in the oil tank. Use a step size of h= 5 sec. The energy balance equation of the ball is given by the following equation: dT pCp -=-hA(T-T₂) dt
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