Question

Air at 40°C flow steadily through the pipe shown in Fig. 1 below. If P1 = 40 kPa (gage), P2 = 10 kPa (gage), D = 3d, Patm ≅ 100 kPa, the average velocity at section 2 is V2 = 25 m/s, and air temperature remains nearly constant, determine the average speed at section 1. ​

Answer 1

Based on the average velocity at section 2, and the absolute pressures at both sectors, the average speed at section 1 is 2.226 m/s.

What is the average speed at section 1?

Density at P₁:

= (40 + 100) / (0.287 x  (40 + 273))

= 1.5585 kg/m³

Density at P₂:
= (10 + 100) / (0.287 x  (40 + 273))

= 1.2245 kg/m³

The average speed at section 1 is:

= (Density at P₂ x d² x 25.5) / (Density at P₁ x 9d²)

= 2.226 m/s

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