Question 3 A A Solid Short Cylinder Made Of Brass 5cm In Diameter And 5cm Long Is Initially At A Uniform Temperature 1 (273.36 KiB) Viewed 20 times
Question 3. a) A solid short cylinder made of brass, 5cm in diameter and 5cm long, is initially at a uniform temperature of 316°C. It is then immersed in a tank of water maintained at 21°C. Calculate the temperature, after it cools for 15s, i) at the center of the cylinder, ii) at a radial position of 2cm and a distance of 2cm from one end of the cylinder. The heat transfer coefficient h is 2000 W m² K-¹ and the properties of the brass are density p = 8520 kg m³, specific heat capacity c = 385 J kg-¹ K-¹, and conductivity k = 111 W m-¹ K-¹. [25 MARKS] 0:00 005 004 0:00 0:00 0.0 0.000 000 0.004 0.000 0.00 D 4 6 8 10 14 18 22 (0) Maseratae Om M. P. He WH 0.8 0.5 Figure 6. Centreline temperature for an infinite plate of thickness 2L 1.0 0.9 0.7 0.6 0.6- 0.4 10.2 0.3 0.4 0.8- 30 teau 0.2 0.9 0.1 70 100 120 150 Plate x/1. 400 500 600 1.0 001 0.02 0.05 0.1 0.2 0.5 1.0 2 3 6 10 20 50 100 (KM)=-1 Figure 7. Temperature as a function of centre temperature in a infinite plate of thickness 2L
1.0 0.7 0.5 0.4 0.3 0.2 0.3 0.00 0.05 0.04 0.03 0.00 0.01 0.007 0.00 0.004 0.000 0.001 34% 0.9 Figure 8. Centre temperature for a cylinder of radius r. 1.0 0.8 0.4 0.7 0.6 0.5 0.2 0.2 0.1 0.6 0.4 0.3 0.8 -100 50 30 0.9 33333 4681012 90100 115 130 190000 300 rir 1.0 0.01 0.02 0.05 0.1 0.2 0.5 1.0 2 3 5 10 20 50 100 Figure 9. Temperature as a function of axis temperature in an infinite cylinder of radius r..
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