Question

Combining the two polar Navier-Stokes equations into a single PDE using vorticity and streamfunction

score 65 · Answer 1 · 2023-09-13 22:24:16

Combining the two polar Navier-Stokes equations into a single PDE using vorticity and streamfunction

Published on 13 Sep 2023 - 22:24

score 40 · Answer 2 · 2023-10-31 01:09:19

When integrating by an area defined on the xy plane, dA=dx*dy. In cylindrical space, dA=rdrdθ. This doesn't line up with what I calculated. Why?

score 42 · Answer 3 · 2023-11-07 09:02:51

42

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42

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score 66 · Answer 8 · 2023-12-09 16:00:00

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score 55 · Answer 12 · 2023-12-29 10:11:40

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List Question

Combining the two polar Navier-Stokes equations into a single PDE using vorticity and streamfunction

When integrating by an area defined on the xy plane, dA=dx*dy. In cylindrical space, dA=rdrdθ. This doesn't line up with what I calculated. Why?

Integral representation of Dirac Delta in cylindrical coordinates

Find the volume of a body formed by a cylinder and a hyperboloid

Understanding the Meaning of $y \geq x$ in Cylindrical Coordinates during a Variable Transformation.

The center of mass of a semiellipsoid

Using cylindrical coordinates to solve volume of revolution question

Struggling with a Calculus III problem :$\iint x+y\ dS,$ where $S(u,v)=2\cos(u)\vec i+2\sin(u)\vec j+v \vec k$ and $0\le u\le \pi/2;\;0 \le v \le9.$

A paradox on curl equations in cylindrical and spherical coordinates

How to approach multivariable integration problems?

Integral over unit vectors in different coordinates systems

Area of a plane enclosed by a cylinder

General Solution To Helmholtz Equation in Cylindrical Coordinates Seems To Be Wrong

Solution of the transient heat equation for an infinite domain with a circular hole and angular symmetry

Volume of cylindrical wedge of intersecting cylindrical shells

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