Please Make A Note

Please Make a Note is a collection of science & technology tips and derivations that will make it easier for research scientists & engineers to perform the various tasks they are faced with. These notes cover a wide range of scientific topics, software, media, and data analysis utilities.

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Showing posts with label Fluid Mechanics. Show all posts

Showing posts with label Fluid Mechanics. Show all posts

Saturday, July 10, 2010

How Euler Derived the Momentum Equations

In this post, I will present Euler's derivation of the momentum balance equations for a fluid flow. Please note that I will use modern n...

Sunday, July 4, 2010

9. Derivation of the Continuity Equation in Spherical Coordinates

We start by selecting a spherical control volume dV. As shown in the figure below, this is given by where r , θ , and φ stand for the radiu...

Saturday, July 3, 2010

Integrating Exact Differentials

Often times I am faced with the integration of a system of differential equations of the form This system describes the behaviour of the pri...

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