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A pipe is made of a material, the thermal conductivity of which is simultaneously dependent on radius and temperature, such that k = 0.01t/r, where the radius is in metres and t is expressed in degrees Celsius. The pipe has inner and outer radii r1 = 0.1 m and r2 = 0.2 m, with corresponding surface temperatures of t1 = 30 degC and t2 = 20 degC respectively. Determine the equation of the temperature field within the pipe material.
Cylinder problem, Determine the strains in thick walled cylindrical vessel with inside diameter 1000 mm and outside diameter of 1400 mm
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