Self-Assessment Questions

1. ** Calculate the heat loss due to radiation from the surface of a 100 hL copper kettle at 100°C to a room at 20°C. The surface area of the kettle is 27.5 m2 and the emissivity of copper is 0.03.

2. ** Calculate the heat loss from a pipe with hot wort flowing through it. The wort is at 45°C and the air around the pipe is 20°C. The pipe is 12 m long and made of stainless steel with OD of 25 mm and ID of 21 mm and a thermal conductivity of 20 Wm−1·K−1. The film heat transfer coefficients inside and outside the pipe are, respectively, 350 and 7 Wm-2 K-1.

3. ** Calculate the overall heat transfer coefficient through a multi-layer wall. From the outside moving in, the wall contains a 100 mm brick section, a 50 mm insulation section, a 15 mm cement section, and a 5 mm plaster finish section. The film heat transfer coefficients for the inside and outside walls are, respectively, 8 and 34 Wm-2 K-1. The thermal conductivities of the materials are listed in the table below.

Material

Thermal Conductivity

Wm-1 K-1

Brick

0.84

Insulation

0.035

Cement

0.5

Plaster

0.5

4. * The overall heat transfer coefficient for a new piping process is 400 Wm-2 K-1. Due to fouling, over time the effective heat transfer coefficient becomes 350 Wm-1 K-1. Calculate the magnitude of the fouling factor that has developed over a period of time.

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