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# Steel tank

The steel tank contains hot water. Determine the wall outside temperature and heat losses.

Problem type:

Plane-parallel problem of heat transfer.

Given:

Hot water temperature t°=95°C;
Water-to-wall convection coefficient α = 2850 W/m2°C;
Cooling air temperature 15°C;
Wall-to-air convection coefficient α = 10 W/m2°C;
Wall thermal conductivity λ = 50 W/m·K.

Calculate the average heat flux density passing through the tank wall and the wall air-side temperature.

Solution:

To solve the problem it is enough to simulate a small piece of the tank wall. Heat losses (heat flux density) are calculated as a heat flux value divided by the wall surface area value.

Result:

 QuickField Theory* Error Wall outside temperature 94.53°C (367.68 K) 94.52°C 0.011% Flux density, W/m2 795.3 795.2 0.013%

*Rajput R.K.(2010). Engineering Thermodynamics, Third Edition. Sudbury, MA:Jones and Bartlett Publishers. Page 805.