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What are the assumptions underlying Bernoulli's energy equation?
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.
What is the flow energy equation and how does it relate to the concept of energy flow in a system?
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.
What is the assumptions underlying the Bernoulli's energy equation?
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.
Is Bernoulli equation applicable for unsteady flow?
The equation assumes steady state or laminar flow and hence cannot be used for turbulent flows.
Steady state flow process?
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.
Steady flow and non steady examples?
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.
When air flow is decreased across the evaporator the evaporator temperature will?
rise
What are applications of steady flow equation?
The steady flow equation, which describes the conservation of mass, momentum, and energy in fluid dynamics, has several applications. It is commonly used in the design and analysis of pipelines, HVAC systems, and water distribution networks to ensure efficient fluid transport. Additionally, it is applied in aerodynamics for analyzing airflow over wings and in hydrodynamics for studying river and ocean currents. These applications help engineers optimize performance, reduce energy consumption, and enhance safety in various fluid-related systems.
How do you derive Poiseuille equation?
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.
Is the flow of river steady?
yes the flow of water in a river is steady.
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.
How bernoullis theorem is modified?
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.
