Equation of continuity is expressed as:
Correct answer: B. A1V1 = A2V2
- A. A1V2 = A2V1
- B. A1V1 = A2V2
- C. A1H2 = A2H1
- D. A1H1 = A2H2
Explanation
Option A: A1V2 = A2V1: This is the equation of continuity for fluid flow. It states that the mass flow rate through a control volume is constant. In other words, the amount of fluid that enters the control volume must equal the amount of fluid that leaves the control volume. Option B: The equation of continuity is expressed as A1V1 = A2V2. This equation states that the mass flow rate through a control volume is constant. In other words, the amount of fluid that enters the control volume must equal the amount of fluid that leaves the control volume. Option C: A1H2 = A2H1: This is the equation of continuity for heat transfer. It states that the heat flow rate through a control volume is constant. In other words, the amount of heat that enters the control volume must equal the amount of heat that leaves the control volume. Option D: A1H1 = A2H2: This is not the equation of continuity for heat transfer. It states that the product of the cross-sectional area and the heat transfer coefficient is constant. This is only true for steady-state heat transfer, which means that the temperature of the fluid does not change.
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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.
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