Total Volume Flux from Mass Conservation in Equations of Motion on a Disk / Plate Surface

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Year:
2018
Type of Publication:
Article
Keywords:
Equations of Motion, Mass Conservation, Flux, Reynolds, Dimensionless, PDE, Cylinder, Disk, Surface, Volume, Fluid Dynamics, Applied Math, Differential Equation
Authors:
Steve Anglin
Journal:
IJISM
Volume:
6
Number:
3
Pages:
95-96
Month:
May
ISSN:
2347-9051
Abstract:
We look at mass conservation in equations of motion on a disk/plate surface. u/v, u/r, w are functions of z where (u, v, w) are velocity components of r, theta and z or (r, theta, z) in cylindrical coordinate system with u/r = 0. Also, pressure p is defined as p over rho = nu times w’(z) – ½(w^2) + some function F where F = F(r) = const. So, this can imply that we let p = const, then p trends towards zero or p  0 in the equations of motion below for r and theta. Again, there is mass conservation which can lead to dimensionless equations of motion where with boundary conditions, we get the Reynolds number and get the total volume flux outward across cylindrical surface
Full text: IJISM_744_FINAL.pdf

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