A Mean Flow Equation and Solution Problem

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Year:
2018
Type of Publication:
Article
Keywords:
Mean Flow Equations, Flow, Symmetric, Streamwise, Reynolds, Fluid Dynamics
Authors:
Steve Anglin
Journal:
IJISM
Volume:
6
Number:
6
Pages:
183
Month:
November
ISSN:
2347-9051
Abstract:
Picture a function U(2h) = 0. Y = h and U(0) = 0. Symmetric flow implies the following: The only non-zero term is – rho u_1u_2 bar which depends on x_2 = y. Also, Where P of Omega is mean pressure at walls, u_2 = 0 by no-slip depends on streamwise coordinates x_1 = x_i = x. We have the following: Where Tau at the other wall, x_2 = 2D, should be – Tau of omega. Therefore, from above, we have the following: Then, it follows that the above reads as follows where tau = 0 on channel center plane and x of 2 or y = D. Therefore, we get the following: This is for Reynolds shear stress as a function of x of 2, otherwise y
Full text: IJISM_788_FINAL.pdf

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