#### Torricelli’s equation

## What is Torricelli’s Law of efflux?

The law states that the speed v of efflux of a fluid through a sharp-edged hole at the bottom of a tank filled to a depth h is the same as the speed that a body (in this case a drop of water) would acquire in falling freely from a height h, i.e. , where g is the acceleration due to gravity (9.81 m/s^{2} near the surface

## How do you find the velocity of efflux?

Suppose that horizontal distance travelled by the liquid stream is x i.e. the liquid will strikes the ground at a distance x from the base of the container below the hole. Now,Squaring eqn(6) , x^{2} = 4h (H – h). Illustration : Air flows horizontally with a speed v = 108 km/hr.

## What is the speed of efflux?

As per the Torricelli’s law for Newtonian fluids, the density of efflux of a fluid passing through a sharp-edged hole at the bottom of a tank filled with the fluid to a depth of h is the same as the speed that a body would acquire in a freely falling condition when falling from a height h.

## What is the velocity of efflux of liquid?

(i) The velocity of efflux is independent of the nature of liquid, quantity of liquid in the vessel and the area of orifice. (iv) Now during time t liquid is moving horizontally with constant velocity v, so it will hit the base level at a horizontal distance x (called range) as shown in figure.

## How do you derive Bernoulli’s equation?

We also assume that there are no viscous forces in the fluid, so the energy of any part of the fluid will be conserved. To derive Bernoulli’s equation, we first calculate the work that was done on the fluid: dW=F1dx1−F2dx2=p1A1dx1−p2A2dx2=p1dV−p2dV=(p1−p2)dV.

## What is Bernoulli equation used for?

Bernoulli’s equation is valid for ideal fluids, incompressible, irrotational, non viscous and subjected to conservative forces. It is sometimes valid for the flow of gases: provided that there is no transfer of kinetic or potential energy from the gas flow to the compression or expansion of the gas.

## What does efflux mean?

something that flows out; effluence. a passing or lapse of time. a passing away; expiration; ending.

## What is efflux find speed of efflux?

The speed of efflux, v1,from the side of the container is given bythe application of Bernoulli’s equation. This is accordance to Torricelli’s law which states that the speed by which the fluid is flowing out of a small slit of a container is same as the velocity of a freely falling body.

## Does velocity of efflux depend on density?

The density of the fluid is actually varying with depth for large heights. In such scenarios, velocity of efflux depends on the density of the liquid.