Heat gain (or Loss) in steady state from Metal Rod

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SUMMARY

The discussion centers on calculating heat transfer from a metal rod situated between two walls at different temperatures. The parameters provided include a rod diameter of 0.05 m, length of 0.3 m, wall temperatures of 300 °C and 100 °C, ambient temperature of 20 °C, thermal conductivity of 50 W/m/°C, and a surface heat transfer coefficient of 40 W/m²/°C. The objective is to determine the heat gain or loss from each wall (Q1 and Q2) and the heat loss from the rod's curved surface to the surroundings (Q3). The problem is framed as a fundamental heat transfer scenario, suitable for those with basic knowledge of the subject.

PREREQUISITES
  • Understanding of heat transfer principles, specifically conduction and convection.
  • Familiarity with thermal conductivity and heat transfer coefficients.
  • Basic knowledge of steady-state heat transfer calculations.
  • Ability to apply Fourier's law of heat conduction.
NEXT STEPS
  • Study Fourier's law of heat conduction in detail.
  • Learn about the heat transfer equations for cylindrical objects.
  • Explore the concept of thermal resistance in heat transfer analysis.
  • Investigate the effects of varying ambient temperatures on heat loss calculations.
USEFUL FOR

Students in engineering disciplines, particularly those studying thermal dynamics, as well as professionals involved in heat transfer analysis and thermal management of materials.

tiziana
Hello,
I got this problem but I don't know How can Find Heat loss (or gain) - Q3 - from the curved surface of the metal rod to the surrounding.

This is the problem:

A metal rod, of diameter (d) and length (L), runs between two hot walls at temperatures, T1 (Wall
1) and T2 (Wall 2), respectively. Let the thermal conductivity of the material of the rod be k, the
surface heat transfer coefficient be h, and the ambient temperature be Ta.
If d = 0.05 m, L = 0.3 m, T1 = 300 oC, T2 = 100 oC, Ta = 20 oC, k = 50 W/m/ oC, h = 40 W/m2/ oC,

Calculate the heat gain (or loss) by the metal rod from wall 1 (Q1) and wall 2 (Q2) as well
as the heat loss from the curved surface of the metal rod to the surrounding (Q3).

Could you explain me that? Thank you
 
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Is this a homework problem ? If so please repost in the homework section using the template supplied .

The problem itself should not be too difficult to solve . What is your level of knowledge regarding heat transfer ? Have you done any undergraduate courses dealing with the subject ?
 

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