Question

# Liquid water at 25°C and 1 atm flows at steady-state through a square nozzle as shown in the figure. At point A, the velocity is V and at point B,

the velocity is VB.Both velocities can be assumed constant across the nozzle cross-section (i.e. the volumetric velocity does not change). The cross-sectional area of the nozzle at point A is 2 m²and the cross-sectionalarea of the nozzle at point B is 1 m2. Assuming the density of water is constant, which of the following statementsrelating Vaand VB(the linear velocity) is true at steady flow conditions? VB = 2VA because volume is conserved for all fluids so that reducing flow area by afactor of 2 will double the velocity O VB = VA because velocity is constant at steady flow conditions the relationship between VA and VB cannot be determined unless the pressure changefrom point A to point B is known VB = 2VA because reducing flow areabya factor of 2 means the velocity must double toconserve mass

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