Total Volume Flux from Mass Conservation in Equations of Motion on a Disk / Plate Surface
Journal Title: International Journal of Innovation in Science and Mathematics - Year 2018, Vol 6, Issue 3
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.
Authors and Affiliations
Steve Anglin
Keywords
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