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The assumptions underlying Bernoulli's energy equation are: steady flow, incompressible fluid, no energy losses due to friction or heat transfer, no shaft work being done on the fluid, and no changes in elevation.
The flow energy equation is a mathematical expression that describes the energy balance in a fluid flow system. It relates the energy input, output, and losses in the system. This equation helps us understand how energy is transferred and transformed within the system, highlighting the importance of energy conservation and efficiency in the flow process.
The assumptions underlying Bernoulli's energy equation include steady flow, incompressible fluid, along a streamline, negligible viscous effects, and no shaft work being done on or by the fluid. It also assumes that the fluid is flowing without any heat transfer and that the flow is continuous and inviscid.
The equation assumes steady state or laminar flow and hence cannot be used for turbulent flows.
In a steady state flow process, the rate of mass or energy entering a system is equal to the rate of mass or energy leaving the system. This results in a constant system state over time with no accumulation of mass or energy within the system. The system properties remain uniform throughout the process under steady state conditions.
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Steady flow: Water flowing through a pipe at a constant rate with uniform velocity is an example of steady flow. Non-steady flow: Waves in the ocean where the water motion is constantly changing in both intensity and direction represent non-steady flow.
yes the flow of water in a river is steady.
The Poiseuille equation is derived from the Navier-Stokes equation for incompressible fluid flow in a cylindrical pipe, assuming laminar flow and steady state conditions. By applying assumptions of no-slip boundary conditions and conservation of mass and momentum, the equation simplifies to describe the flow rate in terms of viscosity, pressure gradient, and geometry of the pipe.
A steady flow of electrons refers to the continuous movement of electrons through a conducting medium, such as a wire, without any interruptions or fluctuations. This flow is essential for the functioning of electrical circuits and devices, allowing for the transfer of electrical energy.
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.
A statement of the conservation of energy in a form useful for solving problems involving fluids. For a non-viscous, incompressible fluid in steady flow, the sum of pressure, potential and kinetic energies per unit volume is constant at any pointA special form of the Euler's equation derived along a fluid flow streamline is often called the Bernoulli EquationFor steady state incompressible flow the Euler equation becomes (1). If we integrate (1) along the streamline it becomes (2). (2) can further be modified to (3) by dividing by gravity.