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In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is?
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In a cylindrical furnace of diameter 2 m and height 1 m, the base and ...

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Problem Statement

In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is?


Solution


Assumptions


  • The furnace is a cylindrical shape

  • The lateral surface is a black body

  • The base and top surfaces have emissivities of 0.4 and 0.8 respectively

  • Steady state operation



Calculations

The net rate of radiation heat transfer from the top surface can be calculated using the following formula:




Where:


  • Q is the net rate of radiation heat transfer

  • σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/m^2K^4)

  • A is the surface area of the top surface (given by A = πr^2 where r = diameter/2)

  • T_base is the temperature of the base surface (700 K)

  • T_top is the temperature of the top surface (500 K)



Using these values, we can calculate Q:








Therefore, the net rate of radiation heat transfer from the top surface is 1.44 kW.
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In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is?
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In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cylindrical furnace of diameter 2 m and height 1 m, the base and the top having emissivities 0.4 and 0.8 respectively are maintained at 700 K and 500 K, while the lateral surface approximating a black body is maintained at 400 K. The net rate of radiation heat transfer (in kW) from the top surface at steady state operation is?.
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