8.4 Fluid Flow Continuity

• The flow rate Q is mathematically expressed as Q = v × A
• What is the continuity equation in terms of flow rate, flow speed, and cross-sectional area?

  Q = v \times A</latex>
• Match the assumptions of the continuity equation with their descriptions.

  1️⃣ Incompressible Fluid

  2️⃣ Steady Flow

  3️⃣ Non-viscous Fluid

  4️⃣ Flow is Along a Streamline
• What is the relationship between flow speed and cross-sectional area in the continuity equation?

  Inversely proportional
• The relationship between fluid speed and cross-sectional area is expressed in the continuity equation.
• Flow speed increases as cross-sectional area increases.

  False
• In fluid continuity, the flow rate is constant through a closed system.
• What assumptions are made in the continuity equation about the fluid?

  Incompressible, steady, non-viscous
• What type of relationship exists between fluid speed and cross-sectional area?

  Inverse
• In which real-world system is the principle of fluid continuity used to maintain consistent flow and pressure?

  Water supply networks
• What does the principle of fluid continuity state?

  Flow rate is constant
• If the cross-sectional area of a pipe narrows, the flow speed must increase to maintain the same flow rate.


  True
• The continuity equation for two different sections in a pipe is v₁ × A₁ = v₂ × A₂
• The assumption of an incompressible fluid means its density remains constant throughout the flow.


  True
• As cross-sectional area increases, flow speed decreases
• What is the continuity equation in its mathematical form?

  v_{1}A_{1} = v_{2}A_{2}</latex>
• What is the principle of fluid continuity?

  Flow rate remains constant
• What does the continuity equation relate?

  Flow speed and area
• Flow rate is defined as the volume of fluid passing a point per unit time.


  True
• Match the variables in the continuity equation with their definitions:

  Q ↔️ Flow rate

  v ↔️ Fluid speed

  A ↔️ Cross-sectional area
• If the cross-sectional area of a pipe decreases, the fluid speed increases.


  True