Mention the flow situations where the Reynolds and Euler numbers govern the conditions of dynamic similarity. A small flow meter is designed to measure gas flows in a 1.25 cm gas pipeline. For the flow rate 0.004 m³/s, the pressure drop across the meter is expected to be 4.8 kPa. An enlarged geometrically similar model of the prototype is tested in a 30 cm diameter water pipe. If dynamic similarity is presumed to hold good for the model and prototype, make calculations for the scale factors for the velocity and discharge. Also compute the pressure drop in the model. For gas: p= 12 kg/m³ and µ = 18 × 10-6 Ns/m² For water: p= 1000 kg/m³ and μ = 11.7 x 10-4 Ns/m²

Structural Analysis
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Mention the flow situations where the Reynolds and Euler numbers govern the conditions
of dynamic similarity.
A small flow meter is designed to measure gas flows in a 1.25 cm gas pipeline. For the
flow rate 0.004 m³/s, the pressure drop across the meter is expected to be 4.8 kPa. An
enlarged geometrically similar model of the prototype is tested in a 30 cm diameter water
pipe. If dynamic similarity is presumed to hold good for the model and prototype, make
calculations for the scale factors for the velocity and discharge. Also compute the pressure
drop in the model.
For gas: p= 12 kg/m³ and µ = 18 × 10-6 Ns/m²
For water: p= 1000 kg/m³ and µ = 11.7 x 10-4 Ns/m²
μ
Transcribed Image Text:Mention the flow situations where the Reynolds and Euler numbers govern the conditions of dynamic similarity. A small flow meter is designed to measure gas flows in a 1.25 cm gas pipeline. For the flow rate 0.004 m³/s, the pressure drop across the meter is expected to be 4.8 kPa. An enlarged geometrically similar model of the prototype is tested in a 30 cm diameter water pipe. If dynamic similarity is presumed to hold good for the model and prototype, make calculations for the scale factors for the velocity and discharge. Also compute the pressure drop in the model. For gas: p= 12 kg/m³ and µ = 18 × 10-6 Ns/m² For water: p= 1000 kg/m³ and µ = 11.7 x 10-4 Ns/m² μ
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