# Shock Math Calculator — Mach numbers with ease

> Mach numbers with ease (iPhone/iPad app by Gregory Manley.)

- Source: https://appshunter.io/ios/app/shock-math-calculator/id6443923018 (this page in markdown: same URL + `.md`)
- Developer: [Gregory Manley](https://appshunter.io/developer/1650623300)
- Category: Education, Utilities
- Price: Free
- Age rating: 4+
- Requires: iOS 17.0 · 3 MB
- Languages: American English
- Released: 2022-10-21
- Data updated: 2026-09-04
- User reviews in markdown: https://appshunter.io/ios/app/shock-math-calculator/id6443923018/reviews.md

## What is Shock Math Calculator?

Shock Math is a fast, accurate compressible-aerodynamics calculator for students, engineers, and anyone working in high-speed gas dynamics. Solve isentropic, shock, and duct-flow relations in seconds — from any input variable, for any gas.

COMPRESSIBLE FLOW, SOLVED
• Isentropic flow — pressure, temperature, density, and area ratios, Mach angle, and Prandtl–Meyer angle
• Normal shock relations — downstream Mach, static and stagnation pressure, temperature, and density ratios
• Oblique shock relations — weak and strong solutions, wave angle, deflection angle, and normal Mach components
• Conical shock relations — Taylor–Maccoll solution for cone angle, surface Mach number, and surface property ratios
• Fanno flow — adiabatic flow with friction in a constant-area duct
• Rayleigh flow — frictionless flow with heat addition
• Ideal gas law — p = ρRT and pV = nRT, with flexible units
• Scratch Pad — a quick built-in calculator for the numbers in between

SOLVE FROM ANY VARIABLE
Don't just go forward from Mach number. Enter a pressure ratio, temperature ratio, area ratio, wave angle, or Prandtl–Meyer angle and Shock Math finds the Mach number for you — subsonic or supersonic branch, your choice.

ANY GAS, ANY GAMMA
Set the ratio of specific heats (γ) to model air, combustion products, monatomic gases, or anything in between. Every relation respects your γ.

PROVEN-ACCURATE MATH
Version 1.6 rebuilt and independently verified the calculation engine. Every relation is cross-checked against the classic NACA Report 1135 tables and against independent reference implementations across a wide range of Mach numbers and specific-heat ratios — hundreds of checks, zero discrepancies. Forward and inverse solutions round-trip exactly.

BUILT FOR REAL WORK
• Clean, focused calculators — no clutter
• Light and dark mode
• Show or hide the calculators you use
• Built-in reference notes explaining each set of relations
• Apple Watch scratch pad for quick calculations

Whether you're checking homework in a gas dynamics course, sizing a supersonic nozzle, or sanity-checking a CFD result, Shock Math gives you trustworthy numbers fast.

Feedback and feature requests are always welcome from the in-app form.


## Version history (last 5 releases)

### 1.7 — 2026-08-30

Results just got a lot easier to read.

• New results layout. Every calculator now presents its answers as a clean, labeled table — proper symbols like T/T₀, p/p₀, ρ/ρ*, and A/A*, each with its value neatly aligned — instead of a wall of raw text.
• Sensible precision. Values are rounded to a tidy 5 significant figures, so you'll see 0.12780 instead of 0.12780452546295096.
• Consistent across the board — isentropic, Fanno, Rayleigh, and normal, oblique & conical shocks all share the same crisp format.

All of the proven-accurate math from version 1.6 is unchanged. Thanks for the feedback — keep it coming from the in-app form.

### 1.6 — 2026-07-06

Version 1.6 is a major accuracy and reliability release. We rebuilt and independently verified the entire calculation engine.

PROVEN-ACCURATE MATH
• Every relation is now cross-checked against NACA Report 1135 reference tables and independent reference implementations, across a wide range of Mach numbers and specific-heat ratios (γ = 1.3, 1.4, 1.667). Hundreds of checks, zero discrepancies.
• Forward and inverse solutions now round-trip exactly — enter a Mach number to get a ratio, or a ratio to get the Mach number, and land back on the same value.

BUGS FIXED
• Corrected the isentropic inverse solvers so entering a pressure, temperature, density, or area ratio returns the right Mach number.
• Fixed Fanno temperature ratios and Rayleigh pressure, stagnation-pressure, and velocity ratios, which previously used the wrong formulas.
• Corrected the Fanno and Rayleigh supersonic inverse branches and the Rayleigh stagnation-temperature inverse.
• Fixed the conical shock cone-angle calculation.
• Replaced a slow normal-shock inverse with an exact closed-form solution.

NO MORE FREEZES
• Several input combinations could previously cause the app to hang while solving. Every solver now has guaranteed termination, so valid inputs always return a result.

UNDER THE HOOD
• Now requires iOS 17.
• Added an automated test suite so accuracy stays locked in for future updates.
• Removed dead code and hardened the feedback form.

As always, thank you for the feedback — keep it coming from the in-app form.

### 1.5.1 — 2024-07-06

Added descriptions for:
 • Conical Relations
 • Isentropic Relations
 • Fanno Relations
 • Rayleigh Relations
Fixed some bugs.

### 1.5 — 2023-10-01

added Fanno Flow relations
added Rayleigh Flow relations
killed some bugs

### 1.4 — 2022-12-27

Added isentropic flow relations
Removed some unnecessary code
Killed some bugs

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All apps by Gregory Manley: https://appshunter.io/developer/1650623300

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-09-04.*