Fluid flow and momentum equation. Do I have the right equation?

In summary, the conversation discusses the calculations for forces acting on a pipe bend. The equations presented include F1x+F3x = density x Q(Vx2 – Vx1) and F1y+F3y = density x Q(Vy2 – Vy1), where F1x and F1y represent the forces acting on the bend, F3x and F3y represent the pressure forces, density is the density of the fluid, Q is the flow rate, Vx2 and Vx1 are the velocities at different points along the bend, and Vy2 and Vy1 are the vertical velocities at those points. The equations also include variables for pressure, area, and angle. The simplified equations for Rx and Ry
  • #1
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F1x+F3x = density x Q(Vx2 – Vx1)
F1x = -Rx
F3x= (pressure 1 x area 1) + (Pressure 2 x area 2) (Cos B)
F1y+F3y = density x Q(Vy2 – Vy1)
F1y = -Ry
F3y = (Pressure 2 + Area 2)(Cos B)
So is it:
Rx= (pressure 1 x area 1) + (Pressure 2 x area 2) (Cos B) - density x Q(Vx2 – Vx1)
Ry = (Pressure 2 + Area 2)(Cos B) - density x Q(Vy2 – Vy1)
 
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  • #2
You mind defining all your variables just so that we don't make any assumptions about what you mean?
 

1. What is the fluid flow equation and how is it used in science?

The fluid flow equation, also known as the Navier-Stokes equation, is a fundamental equation in fluid mechanics that describes the motion of a fluid. It is used in various fields of science, such as engineering, physics, and meteorology, to study the behavior of fluids and predict their movement.

2. How does the momentum equation relate to fluid flow?

The momentum equation is a fundamental principle of physics that states that the change in momentum of a system is equal to the net force acting on the system. In the context of fluid flow, the momentum equation is used to calculate the forces exerted on a fluid and how they affect the fluid's motion.

3. What are the variables in the fluid flow and momentum equations?

The variables in the fluid flow equation include fluid density, velocity, pressure, and viscosity. The momentum equation also includes the mass and acceleration of the fluid. These variables are used to describe the properties and behavior of the fluid in motion.

4. Can the fluid flow and momentum equations be applied to all types of fluids?

Yes, the fluid flow and momentum equations can be applied to all types of fluids, including liquids and gases. However, the equations may need to be modified for non-Newtonian fluids, which have different viscosity properties compared to Newtonian fluids.

5. How accurate are the fluid flow and momentum equations in predicting real-world scenarios?

The fluid flow and momentum equations are highly accurate in predicting the behavior of fluids in idealized situations. However, in real-world scenarios, factors such as turbulence, viscosity, and boundary conditions may affect the accuracy of the equations. Therefore, it is important to use them in combination with experimental data and other analytical methods for more precise predictions.

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