Continuity Equation

The velocity of fluid increases with

• decrease of area of pipe

• increases of area of pipe

• increase of pressure

• None of these

The assumption made for relating area of cross section of pipe and speed of fluid is that

• the fluid is a viscous fluid

• the fluid is a compressible fluid

• the fluid is incompressible

• the fluid is a viscous and compressible fluid

Mass flow rate, which is the mass of fluid flowing per unit time is

• decreases with cross-sectional area

• A constant

• increases with cross-sectional area

• none of the choices

Mathematical equation of continuity is expressed as.......

• $A_1A_2=v_1v_2$
  

• $\frac{A_1}{v_2}=\frac{A_2}{v_1}$

• $\frac{v_2}{A_1}=\frac{A_2}{v_1}$
  

• $A_1v_1=A_2v_2$
  

According to equation of continuity, A₁v₁ = A₂v₂ = constant. The constant is equal to:

• Volumetric Flow rate

• Volume of fluid

• Mass of fluid

• Density of fluid

In equation of continuity, the units of Av is given as:

• Cubic meter

• Cubic meter per second

• Square meter per second

• Square meter per square second

If cross-sectional area of pipe decreases, the speed of fluid must increase according to:

• Continuity equation

• Bernoulli's equation

• Torricelli's theorem

• Venture relation

What is the difference between volumetric flow rate and mass flow rate?

• Volumetric flow rate is dependent on the viscosity of the fluid.

• Mass flow rate is dependent on the density of the fluid.

• Volumetric flow rate is dependent on the temperature of the fluid.

• Mass flow rate is dependent on the cross-sectional area of the conduit, where fluid is flowing.

The following are formulas of volumetric flow rate EXCEPT

• $Q=\ \frac{Volume}{time}$

• $Q\ =\ \left(Area_1\right)\left(velocity_1\right)$

• $Q=\ \left(Area_2\right)\left(velocity_2\right)$

• $Q\ =\ \left(density\right)\left(Area\right)\left(velocity\right)$

How can you get the flow rate of water coming out from a faucet?

• Record the time required to fill a certain volume of container.

• Record the time required to reach a certain distance.

• Record the volume required to reach a certain velocity.

• Record the cross-sectional area of the faucet and the volume of the water.