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The continuity equation for steady incompressible flow is expressed in vector notation as
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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The continuity equation for steady incompressible flow is expressed in...
Continuity Equation for Steady Incompressible Flow
The continuity equation for steady incompressible flow is expressed in vector notation as ∇.q = 0. Let's break down this equation to understand it better.
Explanation:
- Continuity Equation: The continuity equation represents the principle of mass conservation in fluid dynamics. It states that the mass entering a system must equal the mass leaving the system for steady flow.
- Steady Flow: In steady flow, the velocity of the fluid at any point does not change with time. This simplifies the analysis as the flow parameters are constant.
- Incompressible Flow: In incompressible flow, the density of the fluid remains constant, so the flow is not affected by changes in pressure.
- Vector Notation: The use of vector notation allows us to represent the flow field in terms of vectors, which provide direction and magnitude information.
Interpretation of ∇.q = 0:
- The divergence of the flow field q must be zero, indicating that the flow is neither converging nor diverging at any point.
- This implies that the mass flow rate is constant throughout the system, ensuring mass conservation in the steady incompressible flow.
Therefore, option A (∇.q = 0) is the correct representation of the continuity equation for steady incompressible flow in vector notation.
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The continuity equation for steady incompressible flow is expressed in...
Continuity equation is given as option a directly
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The continuity equation for steady incompressible flow is expressed in vector notation asa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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