**What is computational fluid dynamics?**

**Application of fluid dynamics:**

- Fluid dynamics is used to calculate the forces acting upon the airplane.
- 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:**

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

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

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

\(\frac{P}{\rho g}\)

\(\frac{v^{2}}{2g}\)

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 @byjus*