At the start of the following situation, determine the heat transfer contributions of each heat transfer pathway, and state the direction of each heat transfer and which dominates. A 1m diameter ball of iron is immersed in stagnant liquid water; both are perfect blackbodies. The sphere is a uniform 100 degC while the water is 20 deg C. Conduction can be assumed to occur over a 1 cm length distance away from the sphere. Neglect any temperature gradients that would be established. Other key þarameters for the situation are: Hcony = 100 W/(m2 K) Kcond = 0.6 W/(m K) Stefan-Boltzmann constant = 5.67E-8 W/(m2 K4)

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
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At the start of the following situation, determine the heat transfer contributions of each heat
transfer pathway, and state the direction of each heat transfer and which dominates.
A 1m diameter ball of iron is immersed in stagnant liquid water; both are perfect
blackbodies. The sphere is a uniform 100 degC while the water is 20 deg C. Conduction
can be assumed to occur over a 1 cm length distance away from the sphere. Neglect any
temperature gradients that would be established. Other key
parameters for the situation are:
Hconv = 100 W/(m2 K)
Kcond = 0.6 WI(m K)
Stefan-Boltzmann constant 5.67E-8 WI(m2 K4)
%3D
Transcribed Image Text:At the start of the following situation, determine the heat transfer contributions of each heat transfer pathway, and state the direction of each heat transfer and which dominates. A 1m diameter ball of iron is immersed in stagnant liquid water; both are perfect blackbodies. The sphere is a uniform 100 degC while the water is 20 deg C. Conduction can be assumed to occur over a 1 cm length distance away from the sphere. Neglect any temperature gradients that would be established. Other key parameters for the situation are: Hconv = 100 W/(m2 K) Kcond = 0.6 WI(m K) Stefan-Boltzmann constant 5.67E-8 WI(m2 K4) %3D
Expert Solution
Step 1

Given

  Temperature, T1 = 100oC

                      T2 = 20oC

      Thickness, L = 1 cm

     Diameter, d1 = 1m

Thermal conductivity, k = 0.6 W/mK

Find

  Heat transfer rate in each mode

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