Circle and Sphere Pro vs Navier Stokes Explained

This app calculates all quantities of a sphere (body of a sphere, circle, all parts of sector and segment). Therefore you must enter some variables (like the radius of a circle and the central angle). The algorithm searches the formulas of the missing quantities, shows them and calculates the results. Decimals and fractions are supported. The solution is shown step by step. All calculations are stored in the history. The final solution can be shared. [ Content ] - all important quantities for the circle and sphere calculation - formulas for all important quantities of a sphere, circle, sector and the segment - infographic to illustrate the topic - search bar to find the desired quantity - history function to save input - detailed solution - positive numbers, decimals and fractions are supported - no ads! [ Usage ] - there are several fields for entering the values ​​using a special keyboard - if values are missing, all fields are highlighted in orange - if values are oppositions (like "r = 1 and d = 3"), one affected field is highlighted in red - every value must be positive - maximum of alpha is 360° - beta must be less than 90° - if a value is no number, it is highlighted in red - the entries in the history can be deleted or sorted manually - if you select an entry in the history, it will be loaded automatically for the calculation - the entire history can be deleted by pressing a button - solutions can be shared

The Navier-Stokes equations describe how every liquid and gas moves. They are usually met as a wall of symbols. Here they are a tank of water you can hold. A real three-dimensional fluid solver runs on your iPhone's GPU. Drop a column of water, stir a tank, push a flow past a sphere, or turn on Tilt and let gravity follow your phone. Then look inside: color the water by speed, pressure or rotation, tap anywhere to measure it, and open the live values to see each term of the equation as an arrow at that point. In still water the pressure arrow and the gravity arrow cancel, which is what the equation says they must do. FOUR GUIDED LESSONS Predict, watch, compare, explain. • Why does a swirl fade? The same stir in two liquids, 10,000 times apart in viscosity. • What holds water up? Measure pressure at two depths. • How does flow turn? A pulse of water meets a solid sphere. • Why doesn't water squash? The same falling column with pressure switched off. A LAB, NOT A VIDEO • Gravity, viscosity and stirring strength are yours to change, with a live Reynolds number. • Velocity and pressure arrows, tracer trails, pause, single-step and half speed. • Every term of the equation opens a plain-language explanation and an experiment to try. • Works offline. No account.