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P6.11 Derive the timeaveraged xmomentum equation (6.14) by
direct substitution of Eqs. (6.12) into the momentum equa Textbook Table of Contents  Study Guide 406 Chapter 6 Viscous Flow in Ducts
tion (6.7). It is convenient to write the convective acceleration as
du
dt x (u2) y (u ) z P6.18 (uw) which is valid because of the continuity relation, Eq. (6.7).
P6.12 By analogy with Eq. (6.14) write the turbulent meanmomentum differential equation for (a) the y direction and
(b) the z direction. How many turbulent stress terms appear in each equation? How many unique turbulent stresses
are there for the total of three directions?
P6.13 The following turbulentflow velocity data u(y), for air at
75°F and 1 atm near a smooth flat wall, were taken in the
University of Rhode Island wind tunnel:
y, in 0.025 0.035 0.047 0.055 0.065 u, ft/s 51.2 54.2 56.8 57.6 59.1 Estimate (a) the wall shear stress and (b) the velocity u at
y 0.22 in.
P6.14 Two infinite plates a distance h apart are parallel to the xz
plane with the upper plate m...
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This note was uploaded on 10/27/2009 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.
 Spring '08
 Sakar

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