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A metal bar has a cross section of A mm². The length of the bar is B m. The bar is heated from one of its ends using the heating rate of C W. Simultaneously, the other end of the bar is maintained at a constant temperature T = D °C. Determine the temperature distribution within the metal bar. The thermal conductivity of the metal bar is E [W/(m°C)]. Determine the temperature distribution using analytical calculations or computer software (Excel, Matlab). Draw a graph showing the temperature distribution as a function of distance x from the heated end of the bar According to the Fourier's Law the heat flux density [W/m²] as a function of distance equals q(x) = dT (x) -kat (x) Now the heat quantity Q [W] flowing through the bar becomes Q =qA = -KA dx dx Above, Heat Supply, kW k is thermal conductivity [kW/(m°C)] A is the surface are of cross section [m²] x = 0m Area, mm² Insulation -Temperature, T(x) Heat flow Constant point at x = Bm T = D°C x

A metal bar has a cross section of A mm². The length of the bar is B m. The bar is heated from one of its ends using the heating rate of C W. Simultaneously, the other end of the bar is maintained at a constant temperature T = D °C. Determine the temperature distribution within the metal bar. The thermal conductivity of the metal bar is E [W/(m°C)]. Determine the temperature distribution using analytical calculations or computer software (Excel, Matlab). Draw a graph showing the temperature distribution as a function of distance x from the heated end of the bar According to the Fourier's Law the heat flux density [W/m²] as a function of distance equals q(x) = dT (x) -kat (x) Now the heat quantity Q [W] flowing through the bar becomes Q =qA = -KA dx dx Above, Heat Supply, kW k is thermal conductivity [kW/(m°C)] A is the surface are of cross section [m²] x = 0m Area, mm² Insulation -Temperature, T(x) Heat flow Constant point at x = Bm T = D°C x

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Project Theme 4: Insulated bar A metal bar has a cross section of A mm². The length of the bar is B m. The bar is heated from one of its ends using the heating rate of C W. Simultaneously, the other end of the bar is maintained at a constant temperature T = D°C. Determine the temperature distribution within the metal bar. The thermal conductivity of the metal bar is E [W/(m°C)]. Determine the temperature distribution using analytical calculations or computer software (Excel, Matlab). Draw a graph showing the temperature distribution as a function of distance x from the heated end of the bar According to the Fourier's Law the heat flux density [W/m²] as a function of distance equals q(x) = dT (x) dT (x) -k- Now the heat quantity Q [W] flowing through the bar becomes Q =qA = -KA- dx dx Above, Heat Supply, kW k is thermal conductivity [kW/(m°C)] A is the surface are of cross section [m²] x = 0m Area, mm² Insulation -Temperature, T(x) Heat flow Constant point at x = Bm T = D °C x
Transcribed Image Text:Project Theme 4: Insulated bar A metal bar has a cross section of A mm². The length of the bar is B m. The bar is heated from one of its ends using the heating rate of C W. Simultaneously, the other end of the bar is maintained at a constant temperature T = D°C. Determine the temperature distribution within the metal bar. The thermal conductivity of the metal bar is E [W/(m°C)]. Determine the temperature distribution using analytical calculations or computer software (Excel, Matlab). Draw a graph showing the temperature distribution as a function of distance x from the heated end of the bar According to the Fourier's Law the heat flux density [W/m²] as a function of distance equals q(x) = dT (x) dT (x) -k- Now the heat quantity Q [W] flowing through the bar becomes Q =qA = -KA- dx dx Above, Heat Supply, kW k is thermal conductivity [kW/(m°C)] A is the surface are of cross section [m²] x = 0m Area, mm² Insulation -Temperature, T(x) Heat flow Constant point at x = Bm T = D °C x
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