8.2 Fluid Dynamics

    Cards (52)

    • In fluid statics, the fluid is stationary, while in fluid dynamics, the fluid is in motion.

      True
    • Match the primary concepts with their corresponding branch of fluid mechanics:
      Fluid Statics ↔️ Pressure, Buoyancy
      Fluid Dynamics ↔️ Flow rate, Velocity, Pressure
    • What is an example of an application of fluid dynamics?
      Aerodynamics
    • The formula for pressure is P=P =FA \frac{F}{A}, where F is the force and A is the area
    • The formula for flow rate is Q=Q =AV AV, where A is the area and V is the velocity.

      True
    • Match the fluid mechanics concepts with their definitions and formulas:
      Pressure ↔️ Force per unit area; P=P =FA \frac{F}{A}
      Flow Rate ↔️ Volume of fluid per unit time; Q=Q =AV AV
      Continuity Equation ↔️ Flow rate remains constant; A1V1=A_{1}V_{1} =A2V2 A_{2}V_{2}
    • In fluid dynamics, the primary concepts are flow rate, velocity, and pressure
    • Flow rate is measured in cubic meters per second
    • The continuity equation states that the flow rate remains constant along a tube with varying cross-sectional areas
    • Match the variables in the continuity equation with their meanings:
      \(A_1\) ↔️ Area at point 1
      \(V_1\) ↔️ Velocity at point 1
      \(A_2\) ↔️ Area at point 2
      \(V_2\) ↔️ Velocity at point 2
    • What is the formula for pressure?
      P = \frac{F}{A}</latex>
    • The continuity equation applies when the flow rate remains constant
    • \(\rho\) in Bernoulli's equation represents the density of the fluid.

      True
    • What is the focus of Bernoulli's principle?
      Pressure, velocity, height
    • What is the formula for shear stress in viscous fluids?
      τ=\tau =ηdvdy \eta \frac{dv}{dy}
    • The primary focus of fluid statics is on fluids that are stationary
    • What are the units for pressure?
      Pascals (Pa)
    • What is the formula for pressure in fluid dynamics?
      P=P =FA \frac{F}{A}
    • What is the formula for flow rate in fluid dynamics?
      Q=Q =AV AV
    • The continuity equation states that the flow rate remains constant in a tube with varying areas.

      True
    • What does Bernoulli's principle state about fluid pressure and velocity?
      Increase in velocity decreases pressure
    • The viscosity of a fluid decreases with increasing temperature.

      True
    • What is the relationship between shear stress and shear rate in viscous fluids?
      τ=\tau =ηdvdy \eta \frac{dv}{dy}
    • What characterizes turbulent flow in fluids?
      Irregular mixing and chaotic motion
    • What is the formula for the Reynolds number?
      =\Re =ρvdη \frac{\rho v d}{\eta}
    • What is fluid dynamics the study of?
      Fluids in motion
    • Fluid dynamics considers concepts such as flow rate, velocity, and pressure
    • Pascal's law and Archimedes' principle are key equations in fluid statics.
    • Pressure in fluids is the force per unit area.

      True
    • What does flow rate measure in fluids?
      Volume per unit time
    • The continuity equation states that the flow rate remains constant along a tube with varying cross-sectional areas
    • What are the primary concepts analyzed in fluid dynamics?
      Flow rate, Velocity, Pressure
    • The continuity equation implies that the flow rate is the same at two different points in a tube with varying areas.

      True
    • What is the formula for flow rate?
      Q=Q =AV AV
    • The formula for the continuity equation is A_{1}V_{1} = A_{2}V_{2}</latex>

      True
    • Pressure is measured in pascals (Pa) or pounds per square inch
    • Flow rate measures the volume of fluid passing through an area per unit time.

      True
    • What does Bernoulli's principle state about fluid velocity and pressure?
      Velocity increases, pressure decreases
    • In aerodynamics, Bernoulli's principle explains how airflow over an airplane wing creates lift
    • Ideal fluids have zero viscosity
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