Water enters the constant 130-mm inside-diameter tubes of a boiler at 7 MPa and 65°C and leaves the tubes at 6 MPa and 450°C with a velocity of 80 m/s. Calculate the velocity of the water at the tube inlet and the inlet volume flow rate.

The velocity of water at the tube inlet = 32

The value of flow rate at inlet  Q = 0.4415

Explanation:

Given data

= 7 M pa  

= 6 M pa  

= 65 °c = 337 K

= 450°c = 723 K

= 80

Where 1 & 2 represents inlet & outlet conditions.

We know that mass flow rate through the boiler is constant so

Mass flow rate at inlet = mass flow rate at outlet

Since area of the tube if the boiler is constant so

⇒

⇒

⇒

Put all the values in above equation

⇒

⇒ = 32

This is the velocity of water at the tube inlet.

Now volume flow rate at inlet

Area of the boiler tube is given by

⇒

⇒ 2 × 3.14 × × 1

⇒ 0.0138

Now flow rate at inlet Q = 0.0138 × 32

⇒ Q = 0.4415

This is the value of flow rate at inlet.

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