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5. Heat is generated steadily in a cylindrical fuel rod in a nuclear reactor according to q = max [1-()], where à is the volumetric heat generation rate in and ro is the outer kW m3 radius of the rod. Develop an equation that expresses the temperature difference between the rod center line and its surface, assuming that heat transfer only takes place in the radial direction and the thermal conductivity of the cylindrical rod is constant. Start from the Fourier equation below and simplify it. pCp ƏT a 1 a a == = 1 or (kr ³7 ) + - ²2 00 (K²00) + 3₂ (k³7) + à at az

5. Heat is generated steadily in a cylindrical fuel rod in a nuclear reactor according to q = max [1-()], where à is the volumetric heat generation rate in and ro is the outer kW m3 radius of the rod. Develop an equation that expresses the temperature difference between the rod center line and its surface, assuming that heat transfer only takes place in the radial direction and the thermal conductivity of the cylindrical rod is constant. Start from the Fourier equation below and simplify it. pCp ƏT a 1 a a == = 1 or (kr ³7 ) + - ²2 00 (K²00) + 3₂ (k³7) + à at az

Applications and Investigations in Earth Science (9th Edition)
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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5. Heat is generated steadily in a cylindrical fuel rod in a nuclear reactor according to q = amax [1-()], where à is the volumetric heat generation rate in and ro is the outer kW radius of the rod. Develop an equation that expresses the temperature difference between the rod center line and its surface, assuming that heat transfer only takes place in the radial direction and the thermal conductivity of the cylindrical rod is constant. Start from the Fourier equation below and simplify it. pCp ƏT 10 = at rər 1 a kr 37) + -²2² 30 (Kor) + 2₂ (K ²7) + +q r2 дz
Transcribed Image Text:5. Heat is generated steadily in a cylindrical fuel rod in a nuclear reactor according to q = amax [1-()], where à is the volumetric heat generation rate in and ro is the outer kW radius of the rod. Develop an equation that expresses the temperature difference between the rod center line and its surface, assuming that heat transfer only takes place in the radial direction and the thermal conductivity of the cylindrical rod is constant. Start from the Fourier equation below and simplify it. pCp ƏT 10 = at rər 1 a kr 37) + -²2² 30 (Kor) + 2₂ (K ²7) + +q r2 дz
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