## What is Fluid Dynamics?

**What is computational fluid dynamics?**

**Applications of fluid dynamics**

Fluid Dynamics can be applied in the following ways:

- Fluid dynamics is used to calculate the forces acting upon the aeroplane.
- It is used to find the flow rates of material such as petroleum from pipelines.
- It can also be used in traffic engineering (traffic treated as continuous liquid flow).

**Equations in ****Fluid Dynamics****: ****Bernoulli’s Equation**

\(\large \frac{P}{\rho }+g\;z+\frac{v^{2}}{2}=k\)

\(\large \frac{P}{\rho g}+z+\frac{v^{2}}{2g}=k\)

\(\large \frac{P}{\rho g}+\frac{v^{2}}{2g}+z=k\)

Here,

\(\frac{P}{\rho g}\) is the pressure head or pressure energy per unit weight fluid

\(\frac{v^{2}}{2g}\) is the kinetic head or kinetic energy per unit weight

z is the potential head or potential energy per unit weight

P is the Pressure

ρ is the Density

K is the Constant

The **Bernoulli equation** is different for isothermal as well as adiabatic processes.

\(\large \frac{dP}{\rho } + V \; dV + g \; dZ = 0\)

\(\large \int \left ( \frac{dP}{\rho }+ V\; dV + g\; dZ \right )=K\)

\(\large \int \frac{dP}{\rho}+\frac{V^{2}}{2}+g\;Z=K\)

Where,

**Z** is the elevation point

**ρ** is the density of fluid

The equation can also be written as,

\(\large q + P = P_{o}\)

Where,

**q** is the dynamic pressure

**P _{O}** is the total pressure

**P** is the static pressure

*Continue learning about isothermal processes with engaging video lectures and diagrams at BYJU’S.*