Final answer:
To calculate the outer convective heat-transfer coefficient, you can use the equation 1/h_outer = 1/h_inner + d/k + ln(r_outer/r_inner) / 2πk.
Step-by-step explanation:
To calculate the outer convective heat-transfer coefficient, we can use the equation:
1/h_outer = 1/h_inner + d/k + ln(r_outer/r_inner) / 2πk
Where:
- h_outer is the outer convective heat-transfer coefficient.
- h_inner is the inner convective heat-transfer coefficient.
- d is the thickness of the pipe.
- k is the thermal conductivity of the metal.
- r_outer is the outer radius of the pipe (r_outer = r_inner + d).
- r_inner is the inner radius of the pipe (r_inner = diameter/2).
Using the given values:
- h_inner = 5 W/(m2 K)
- d = 2 cm = 0.02 m
- k = 20 W/(m K)
- r_inner = 5 cm/2 = 0.025 m
we can plug these values into the equation and solve for h_outer:
1/h_outer = 1/5 + 0.02/20 + ln((0.025 + 0.02)/(0.025)) / 2π * 20
1/h_outer ≈ 0.2 + 0.001 + 0.00088
1/h_outer ≈ 0.20188
h_outer ≈ 4.95 W/(m2 K)