Determine the temperature of the outer pipe wall surface

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A cylindrical pipe with inner and outer radii of 1.0 m and 1.1 m respectively, is comprised of a material such that the thermal conductivity is simultaneously dependent on radius and temperature, such that k = t/r2. The radius (r) is in metres, while t is expressed in degrees Celsius. The pipe is placed in air with a temperature of 20 oC. If heat transfer from the pipe to the outer air is 10 kW/m and the heat transfer coefficient by convection h=100 W/m2K, determine the temperature of the outer pipe wall surface, the equation of temperature field within the pipe material and the temperature at the inner pipe wall surface.

Reference no: EM13619169

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