Module 3: Transport phenomena in furnaces
  Lecture 22: Mechanical Energy Balance
 

Exercise -2
 A fan draws exhaust gases at  from the hood of a furnace as shown below


Figure 22.2:

Arrangement of hood to discharge exhaust gases

The exhaust gas flow rate is  

The duct is rectangular cross section  and is joined by an elbow as shown in the figure. Total length of the duct is 90 m. Calculate horse power of the fan from the following data

Friction losses due to contraction and expansion are 0.4 and 1 respectively.

.  to calculate friction factor. Equivalent length for elbow .

Hint:  Apply mechanical energy balance between plane 1 and 2 and get the following expression

  (5)

  (6)

Substituting the values.
Power = 8.8 hp.