## Is Bernoulli equation valid for irrotational flow?

Bernoulli’s equation is valid for ideal fluids: those that are incompressible, irrotational, inviscid, and subjected to conservative forces.

## What are the limitation of Bernoulli’s equation?

1. The velocity of liquid particles in the center of a pipe is maximum and gradually decreases towards the wall of the pipe due to friction. so only the mean velocity of the liquid should be taken into account because the velocity of liquid particles is not uniform.

**When can you not use Bernoulli’s equation?**

Bernoulli’s equation can only be used in one flowing fluid per time. It cannot be used in two different flowing fluids at the same time. Bernoulli’s equation can only be used in steady-flowing fluid, which means the velocity of the fluid at a particular fixed point doesn’t change with time.

**Can Bernoulli’s equation be applied to a forced vortex flow?**

In forced vortex flow external supply is required to maintain the constant flow (constant angular momentum). In free vortex flow the velocity is remain same in the flow i.e. no external torque is required. In free vortex flow, Bernoulli’s equation can be applied.

### When can you use Bernoulli’s equation on a streamline and across streamlines?

Strictly speaking, the points to which we apply Bernoulli’s equation should be along the same streamline. However, if the flow is irrotational, the value of the constant is same for all the streamlines in the tube of flow, so Bernoulli’s equation can be applied to any two points in the flow.

### Can we apply Bernoulli equation for rotational flow?

Bernoulli’s equation works just fine in rotational flow. Bernoulli’s equation applies along a streamline and in the absence of any significant dissipation due to viscosity.

**Can Bernoulli equation be used for turbulent flow?**

Secondly, turbulent flows are inherently unsteady, and thirdly, it is not possible to identify streamlines in a turbulent flow, because they all get tangled up in the highly complex mixing eddies. So, no, you cannot use Bernoulli’s Equation for a turbulent flow.

**What is the difference between free vortex flow and forced vortex flow?**

A free vortex is formed, for example, when water flows out of a vessel through a central hole in the base. A forced vortex, on the other hand, is caused by external forces on the fluid. It can be created by rotating a vessel containing fluid or by paddling in fluid.

## How to use the Bernoulli equation?

To use Bernoulli equation one of the assumptions that needs to be made is irrotational flow. When deriving the Bernoulli equation, the equation of motion are integrated along a streamline. The equation of motion that is integrated is as follows.

## When deriving the Bernoulli equation the equation of motion are integrated?

When deriving the Bernoulli equation, the equation of motion are integrated along a streamline. The equation of motion that is integrated is as follows. If we are able to assume that the flow is irrotational than the right side of this equation will go to zero.

**What is the Bernoulli’s principle in fluid mechanics?**

For a non-viscous, in-compressible fluid in a steady flow, the sum of pressure, potential and kinetic energies per unit volume is constant at any point. Bernoulli’s principle: At points along a horizontal streamline, higher pressure regions have lower fluid speed and lower pressure regions have higher fluid speed.

**Is the Bernoulli’s equation invariant from Streamline to streamline?**

Under some special condition, the constant C becomes invariant from streamline to streamline and the Bernoulli’s equation is applicable with same value of C to the entire flow field. The typical condition is the irrotationality of flow field.