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For a fluid flowing through pipe, the quantity of fluid per second at all cross-sections is constant. This condition leads to the derivation of:
- a)Hydrostatic law
- b)Continuity equation
- c)Archimedes' principle
- d)Euler Equation
Correct answer is option 'B'. Can you explain this answer?
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For a fluid flowing through pipe, the quantity of fluid per second at ...
The law of conservation of mass states that mass can neither be created nor be destroyed.
The rate at which mass enters the region = Rate at which mass leaves the region + Rate of accumulation of mass in the region
The above statement can be expressed analytically in terms of velocity and density field of flow and the resulting expression is known as the equation of continuity or the continuity equation.
Important Point:
The continuity equation applies to all fluids, compressible and incompressible flow, Newtonian and non-Newtonian fluids. It expresses the law of conservation of mass at each point in a fluid and must, therefore, be satisfied at every point in a flow field.
So, the continuity equation is connected with the conservation of mass and it can be applied to viscous/non-viscous, the compressibility of the fluid, or the steady/unsteady flow.
The rate at which mass enters the region = Rate at which mass leaves the region + Rate of accumulation of mass in the region
The above statement can be expressed analytically in terms of velocity and density field of flow and the resulting expression is known as the equation of continuity or the continuity equation.
Important Point:
The continuity equation applies to all fluids, compressible and incompressible flow, Newtonian and non-Newtonian fluids. It expresses the law of conservation of mass at each point in a fluid and must, therefore, be satisfied at every point in a flow field.
So, the continuity equation is connected with the conservation of mass and it can be applied to viscous/non-viscous, the compressibility of the fluid, or the steady/unsteady flow.
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For a fluid flowing through pipe, the quantity of fluid per second at all cross-sections is constant. This condition leads to the derivation of:a)Hydrostatic lawb)Continuity equationc)Archimedes principled)Euler EquationCorrect answer is option 'B'. Can you explain this answer?
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