This note presents the general features of velocity and variation in length scales of the transit... more This note presents the general features of velocity and variation in length scales of the transition expanding jump, free jump, and wall jet in the rectangular horizontal open channel. The experiments were performed for a range of Froude numbers from 2 to 6 and at an abrupt expansion ratio of 2. The results indicate that the postdepth y2 required to form an expanding jump is distinctly smaller than that for the corresponding classical jumps. The expanding jump length was 1.25 times the corresponding free jump length. The velocity profiles for the transition jumps were similar to those for the wall jet. For the transitional expanding jumps, the boundary layer thickness δ, normalized by the supercritical flow depth y1, grows more rapidly relative to the free jumps. The normalized boundary layer thickness δ in terms of the length scale of b equal to the flow depth y, where the velocity u is equal to half of the maximum velocity um, against the longitudinal direction x normalized by y1, which was stabilized at 0.31 for expanding jumps. The length scale L, equal to x where the maximum velocity is equal to half of the initial velocity u0, of the free jump was approximately 0.75 that of the corresponding transitional expanding jump. The growth rate of the length scale (b=y1) for the expanding jumps was approximately 2.4 times that of the corresponding wall jet and free jump
This numerical study has been performed
to predict the flow patterns and characteristics within
p... more This numerical study has been performed to predict the flow patterns and characteristics within permeable pavement. Throughout the design and planning period for future construction are increasingly integrating computational fluid dynamics (CFD) into the process. As a result, engineers are interested in the reliability of CFD software to provide accurate flow data for a wide range of structures. CFD results have generally been in agreement with physical model experimental data. A commercially known software, FLOW-3D, is applied to numerically solve the Navier-stokes equations for solution domains which are separated into three regions with overlapping boundaries to efficiently accommodate the grid resolutions, namely the honeycomb shaped modular, gravel and combined honeycomb shaped modular with gravel fill. The filtration of the fluid within the interstices of a permeable pavement, is evaluated by integrating the Reynolds Averaged Navier-Stokes equations (RANS) inside the voids rather than making use of the widespread “porous media” approach, such for example in Hsu et. al. (2002) and Lara et al (2006).
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wall jet in the rectangular horizontal open channel. The experiments were performed for a range of Froude numbers from 2 to 6 and at an
abrupt expansion ratio of 2. The results indicate that the postdepth y2 required to form an expanding jump is distinctly smaller than that for the
corresponding classical jumps. The expanding jump length was 1.25 times the corresponding free jump length. The velocity profiles for the
transition jumps were similar to those for the wall jet. For the transitional expanding jumps, the boundary layer thickness δ, normalized by
the supercritical flow depth y1, grows more rapidly relative to the free jumps. The normalized boundary layer thickness δ in terms of the length
scale of b equal to the flow depth y, where the velocity u is equal to half of the maximum velocity um, against the longitudinal direction x
normalized by y1, which was stabilized at 0.31 for expanding jumps. The length scale L, equal to x where the maximum velocity is equal to
half of the initial velocity u0, of the free jump was approximately 0.75 that of the corresponding transitional expanding jump. The growth rate
of the length scale (b=y1) for the expanding jumps was approximately 2.4 times that of the corresponding wall jet and free jump
to predict the flow patterns and characteristics within
permeable pavement. Throughout the design and
planning period for future construction are
increasingly integrating computational fluid
dynamics (CFD) into the process. As a result,
engineers are interested in the reliability of CFD
software to provide accurate flow data for a wide
range of structures. CFD results have generally been
in agreement with physical model experimental data.
A commercially known software, FLOW-3D, is
applied to numerically solve the Navier-stokes
equations for solution domains which are separated
into three regions with overlapping boundaries to
efficiently accommodate the grid resolutions, namely
the honeycomb shaped modular, gravel and
combined honeycomb shaped modular with gravel
fill. The filtration of the fluid within the interstices of
a permeable pavement, is evaluated by integrating the
Reynolds Averaged Navier-Stokes equations (RANS)
inside the voids rather than making use of the
widespread “porous media” approach, such for
example in Hsu et. al. (2002) and Lara et al (2006).