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P6.11 Derive the time-averaged x-momentum 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
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 mean-momentum 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 turbulent-flow 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