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What definition of discharge in terms of fluid mechanics?
Discharge in fluid mechanics is simply a volumetric flow rate of liquid at the exit and it can simply be claculated by the equation of continuity q=(crossectional area of pipe)(velocity of fluid)
How are the continuity equation and bernoulli's equation related?
Continuity equations describe the movement of constant. Bernoulli's equation also relates to movement, the flow of liquids. For some situations, where the liquid flowing is a constant, both a continuity equation and Bernoulli's equation can be applied.
What is continuity equation for compressible fluids?
The continuity equation for compressible fluids states that the rate of change of density (ρ) in a fluid is equal to -∇⋅(ρu), where ρ is density, u is velocity, and ∇⋅ is the divergence operator. This equation is derived from the conservation of mass principle in fluid dynamics.
When is the speed of a fluid maximum in a venturi meter?
from the continuity equation A1v1 = A2v2 according to the continuity equation as the area decreases the velocity of the flow of the liquid increases and hence maximum velocity can be obtained at its throat
What is the physical meaning of the continuity equation?
The continuity equation in fluid dynamics states that the total mass entering a system must equal the total mass leaving the system, accounting for any accumulation within the system. This equation describes the conservation of mass for a fluid flow, showing how the flow velocity and cross-sectional area of the fluid affect the mass flow rate.
What is continuity equation tell us?
The continuity equation states that in a steady flow, the mass entering a system must equal the mass leaving the system. It expresses the principle of conservation of mass and is used to analyze fluid flow in various engineering applications. The equation is often written in the form of mass flow rate or velocity profile to describe how fluid moves through a system.
What are the limitations of equation of continuity?
The equation of continuity, which expresses the principle of conservation of mass in fluid dynamics, has several limitations. It assumes that the fluid is incompressible and homogeneous, which may not hold true for gases or varying fluid properties. Additionally, it applies only to steady flow conditions and may not accurately describe unsteady or turbulent flows. Lastly, it doesn't account for external forces or energy changes, limiting its applicability in complex fluid systems.
What are some common fluid mechanics problems and solutions related to pressure?
Common fluid mechanics problems related to pressure include calculating the pressure difference between two points in a fluid, determining the pressure at a specific depth in a fluid, and analyzing the pressure drop in a pipe system. Solutions involve using Bernoulli's equation, the hydrostatic pressure formula, and the Darcy-Weisbach equation to calculate pressure values and understand fluid behavior.
What is the significance of the continuity equation in describing the flow of incompressible fluids?
The continuity equation is important in describing the flow of incompressible fluids because it states that the mass flow rate of a fluid remains constant along a pipe or channel, ensuring that mass is conserved. This equation helps to understand how fluids move and behave in various systems, such as in pipelines or rivers, by showing how the flow rate is related to the fluid's velocity and cross-sectional area.
When was Journal of Fluid Mechanics created?
Journal of Fluid Mechanics was created in 1956.
What has the author Victor L Streeter written?
Victor L. Streeter has written: 'Handbook of fluid dynamics' -- subject(s): Fluid dynamics 'Fluid dynamics' -- subject(s): Fluid dynamics 'Fluid Dynamics (Aeronautics Science Publications)' 'Fluid mechanics' -- subject(s): Fluid mechanics 'Fluid mechanics' -- subject(s): Fluid mechanics
What are the physical significances of equation of continuity?
The equation of continuity represents the principle of conservation of mass in fluid dynamics. It ensures that the mass flow rate into and out of a control volume remains constant. In practical terms, it helps in analyzing fluid flow behavior and designing systems like pipelines and channels to ensure steady and proper flow.
