The Navier-Stokes equation evolved over centuries of what we see today. Following is the chronological list of how the Navier-Stokes equation evolved in time: 17th century – 1687 – Newton (Mechanics, 3 laws of motion, Calculus(helped in the early concept of inviscid flow) 1738 – Bernoulli’s Equation – Pressure differential is the implied acceleration. 1740’s…
Category: Learn Blogs
Tensor – Basic Notation
Tensor calculus is an organized expression, which contains sophisticated geometric insights. Combines geometric and analytical perspectives. Enables use of the co-ordinate system without the loss of geometric insight. Provides a framework for establishing equations valid in all coordinate systems. Algorithmic. Provides a language that is concise and powerful. Based on a handful of operations. Summation…
Singular Value Decomposition with Python Script
A short blog on discovering the Singular-Value Decomposition (SVD) method for matrix factorization. Singular-Value Decomposition The Singular-Value Decomposition, or SVD for short, is a matrix decomposition method for reducing a matrix to its constituent parts in order to make certain subsequent matrix calculations simpler. A = U . Sigma . V^T where, A is the…
Aerodynamics QnA
1. Stream-function vorticity formulation removes higher-order terms from Navier-Stokes equations ? 2.Stream-function vorticity formulation can be used for simulating a 3-dimensional flow. 3. If dye is injected into a liquid at a fixed point in the flow field, then at a later time t, the dye will indicate the end points of the path lines…