# Prandtl Meyer Expansion Velocity Calculator

## Introduction

In engineering and physics, understanding the Prandtl-Meyer expansion is crucial for analyzing the flow of compressible fluids, especially in supersonic and hypersonic regimes. The Prandtl-Meyer expansion velocity calculator simplifies the computation process, providing accurate results quickly.

## How to Use

- Enter the initial Mach number
*M*1 and the deflection angle*θ*in the designated fields. - Click the “Calculate” button to obtain the expansion velocity.

## Formula

The expansion velocity *V* can be calculated using the following formula:

Where:

*γ*is the specific heat ratio,*R*is the specific gas constant,*T*1 is the initial temperature,*θ*is the deflection angle.

## Example Solve

Let’s say we have an initial Mach number *M*1=2 and a deflection angle *θ*=30∘. Using the formula:

So, the expansion velocity *V* is approximately 416.22416.22 m/s.

**FAQs**

**Q: What is the Prandtl-Meyer expansion?****A: **The Prandtl-Meyer expansion refers to the angular deviation of a supersonic flow stream as it passes through a convex or concave corner.

**Q: Why is the Prandtl-Meyer expansion important?****A:** Understanding this expansion is crucial for designing supersonic and hypersonic flow systems, such as nozzles and diffusers, in aerospace engineering.

**Q: What are the applications of the Prandtl-Meyer expansion?****A:** It’s extensively used in designing airfoils, shock waves, and expansion fans in various engineering fields.

## Conclusion

The Prandtl-Meyer expansion velocity calculator simplifies the computation process for determining expansion velocities in compressible fluid flows. By inputting initial parameters, users can swiftly obtain accurate results, aiding in the design and analysis of high-speed flow systems.