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For an incompressible subsonic flow over a nozzle, at a typical location A along the nozzle, the diameter of the cross-section was found to be 30 cm. What will be the diameter of the cross section at a point B where the flow velocity was determined to be twice the value at A?

For an incompressible subsonic flow over a nozzle, at a typical location A along the nozzle, the diameter of the cross-section was found to be 30 cm. What will be the diameter of the cross section at a point B where the flow velocity was determined to be twice the value at A? Correct Answer 21.21 cm

Given flow over the nozzle is subsonic and incompressible. So density doesn’t vary along the nozzle and the flow velocity is less than about 0.3 times the speed of sound. In this case, the product of the nozzle area and flow velocity at any location along the nozzle length remains to be the same. A1V1 = A2 V2 Given V2 = 2 V1 d22/4 = (d12/4) V1/V2 ⇒ d2 = d1 √0.5 = 21.21 cm.

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