q=h⋅A⋅(Ts−T∞)q equals h center dot cap A center dot open paren cap T sub s minus cap T sub infinity end-sub close paren = Heat transfer rate (W) = Convection heat transfer coefficient ( = Surface area ( m2m squared Tscap T sub s = Solid surface temperature ( ∘Craised to the composed with power C T∞cap T sub infinity end-sub = Surrounding fluid temperature ( ∘Craised to the composed with power C Convection Example Problem
q=1.3⋅15⋅200.2q equals the fraction with numerator 1.3 center dot 15 center dot 20 and denominator 0.2 end-fraction heat transfer example problems
Radiation dominates at high temperatures. Even with a 200 K difference, over 3 kW is transferred. q=h⋅A⋅(Ts−T∞)q equals h center dot cap A center
The outside air convection is the bottleneck. Insulating the pipe would dramatically reduce heat loss. Insulating the pipe would dramatically reduce heat loss
q=3900.2=1950 Wq equals 390 over 0.2 end-fraction equals 1950 W
q=0.10⋅(5.67×10-8)⋅0.5⋅(4004−3004)q equals 0.10 center dot open paren 5.67 cross 10 to the negative 8 power close paren center dot 0.5 center dot open paren 400 to the fourth power minus 300 to the fourth power close paren Calculate the final value: