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Steel tank

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

Problem type:
Plane-parallel problem of heat transfer.

Geometry:
Steel tank The steel tank contains hot water. Determine the wall temperature and heat losses.. Tank wall Water,   t° = +95°C Air t° = +15°C 12 mm

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.

Task:
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:
Heat flux through the wall is 795 W per 1 meter square, average surface temerature is 94.5°C.

steel tank wall heat flux and temperature

 

QuickField

Theory*

Error

Wall outside temperature

94.53°C

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.

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