#### This equation is based on laws of conservation of energy. At the time of applying equation few assumptions are taken as follows

**1. Fluid is steady and irrotational**

**2. Fluid is ideal ( non-viscous)**

**3. Fluid is incompressible**

##### Bernoulli’s equation can b obtained by Euler’s equation as follows

##### As during deriving Bernoulli’s equation, we assumed that fluid is incompressible i.e. **ρ = constant**

##### Where head is energy / weight.

##### In real life, no fluid is ideal fluid and Real fluid are viscous in nature and hence will offer resistance to the flow. **Bernoulli’s equation can be modified for real fluids** by taking the head loss into account.

**Applications of Bernoulli’s Equation**

**Venturimeter**: With the help of this instrument rate of flow of fluid is measured through the pipe.

##### By applying Bernoulli’s equation between point 1 & 2, we get

##### If in equation, we use the differential U-tube manometer to give the value of h, then it is given by

**where x is the difference of heavier column in U-tube**

**Hg is liquid filled in manometric tube**

**L is the liquid flowing inside venturimeter**

**Pitot Tube**: With the help of this instrument the velocity of flow at any point in pope or channel can be measured.

It consists of a glass tube bent at a right angle.

It works on the principle that: **If velocity of flow at any point becomes zero, then the pressure is increased at that point because kinetic energy converts into pressure energy.**

Now applying Bernoulli’s equation between points 1 & 2.