Question

2.. Certain volume of air of certain temperature is piping underground. Fig. 1 illustrates the piping system. For the temperature of the soil surface T2 297.04 °K and heat flow rate of 435W transferred from the pipe system under the ground using shape factor method, caleulate the temperature T1 (temperature of the air in the pipe) assuming that this temperature is the same in all pipe system under the ground. Use thermal conductivity of 1.041 W/mPK for the soil. Radius of the pipe equals 50.00 mm. Using numerical method calculate temperature field in the area "S" surrounded by the surface of the ground, pipes B and pipe A. Derived finite difference equations for the area "S". Using 40x40mm cells solve algebraic equations by matrix inversion method to find temperature field. Show temperature field in the area "S" as a 6x3 matrix. Air T2 Surface of the ground 125cm Pipe B Pipe B Pipe A 250cm Figure 2

Answer 1

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