Evaluation of Canalization Slope on the Manning Roughness Modulus in Mountain Regions- Juniper Publishers
Juniper Publishers- Journal of Civil Engineering
Abstract
Determine the flow resistance parameters are
important in hydraulic calculations of mountain area with steep slops.
The purpose of this study is investigation the effect of slope, speed,
depth and size of roughness on the manning roughness coefficient in this
shallow stream region. This is an experimental study about manning
roughness determined for mountain areas covered by particles in three
different sizes and three gradients for different hydraulic conditions
in a flume of 8.3m long, 0.8m width and 0.5m height under bed slope of
0.0005. At the end of flow changes against the Manning roughness
coefficient are shown, which includes above hydraulic parameters and
discussed.
Keywords: Shallow waters; Manning coefficient; Mountain areas
Introduction
Overall, for the calculated flow, velocity and depth
of flow in natural channels, as estimates of flood and sediment flow
resistance evaluation is important. Hydraulic resistance for open
channels and surface flows on steep mountainous areas is an important
feature to determine the characteristics of hydraulic flow for modeling
runoff, routing flood, inundation and erosion is the most important. The
resistance not only affects to estimate the flow variables such as
depth and flow rate but also the results of these variables, such as
flow distribution in the basin and sediment transport capacity are
influenced. The resistance of a surface can be identified by the number
of hydraulic roughness coefficient. The things that most used in this
study are: Manning roughness coefficient (n), Chezy resistance factor
(c) and Darcy- Weisbach resistance factor (f). In fact, estimates of
these factors can help to estimate more accurate flow conditions.
Also in all numerical models that are used to
estimate the flow conditions such as depth, velocity, shear stress and
etc in rivers and open channels that used today, it is necessary to
determine one of the three factors mentioned. The following
relationships related to the calculation of these coefficients that
expressed. The relationship between the mean flow velocity (V) and
resistance coefficients, geometric and hydraulic surface:


According to studies, Hill et al Darcy-Weisbach
coefficient (f) use more strength formulations in experimental studies,
but (n) coefficient is the best factor for hydraulic models. So in this
study we will evaluate the effect of associate variables on the Manning
roughness coefficient (n). Factors that affect the Manning roughness
coefficient either decrease or increase in the strength of hydraulic
indirectly affect the relationship are important. Different studies and
analyzes indicators in this regard as well as experimental modeling and
mathematical modeling, and they are looking for relationships between
hydraulic properties of the flow in the hydraulic resistance in outdoor
conditions, particularly the flow of the river Models has been done, but
few studies have investigated about shallow stream in areas with steep
slope. These study tried to appropriate relations by review a number of
variables such as the Re number, the Fr number, the roughness
characteristics (eg, with respect to the depth of roughness), Domain
slope and vegetation cover ratio obtained in this area.
Most recent studies obtained experimentally
relationships with application to shallow surface flows, channel pipes
and smooth channels, also for turbulent flows obtained different
relationships dependent on the toward. So far, many studies has been
done on the impact of sediment particle size and the body surface during
the Manning roughness coefficient (n) that Manning roughness
coefficient (n) is only a function of the average particle size bed (Ks
1/6) was introduced such as Strickler studies , Mir Peter Mueller,
CoilGun, Henderson, Anderson and colleagues and Hugger.
As well as lot of research has been done about the
effects of vegetation on roughness coefficient both outside and inside
the country in the field of plant-based (vegetation) coating roughness
based Fathi-Moghadam research for non-submerged vegetation and cowen
research according to Nikuradse theory of relative roughness's for
vegetation submerged. Generally in order to select the correct Manning
roughness coefficient (n) must be determined the factors that affect the
(n) value. These factors include: surface and fuselage roughness,
vegetation, irregular cross-section drainage, sedimentation and scour,
barriers, water level and flow, suspended load and bed load. The exact
calculation of the coefficient n by expert engineering is not possible,
and depends on engineering judgment, so lack of detailed estimates
Manning roughness coefficient (n) will reduce the efficiency of the
project. Acquiring field information to determine the roughness
coefficient is very difficult and takes too much time and cost.
Therefore, in solving river engineering problems, in many cases used
from empirical or semi-empirical or tables brigade. Roughness
coefficient has an important role of flow rate, velocity, shear
stressboundary and many other hydraulic parameters. So understanding
this parameter is essential for optimal design of open channels and
other channels.
Materials and Methods
In order to achieve the purposes of this study,
several tests were conducted in the hydraulic laboratory Shahid Chamran
University, Ahvaz, Iran. This laboratory has a main tank, that municipal
water network be fed, and then tanks water transferred into the flume
by pump through a pipe with a diameter of three hundred millimeter, then
a split 63mm. The flume used in the experiments in this study has a
length of 3.8 meters, width 80cm, depth 50cm and slope was 0.0005 that
its structure has made of metal, which is generally from corners and
walls made of Plexiglas with a thickness of ten mm for observation the
flow behavior. After entering the flow in to the channel and adjust the
rate by digital flow meter over a distance of approximately two meters
flow arrives to the beginning of the ramp-arrow appears.
It should be mentioned the measurement of flow rate
in this test by an electronic flow meter with precision three zero
(thousand) liters per second was performed through sensors to split
Sixty-three millimeter d related to incoming stream that connected to
the flume. To slow the flow of water at the beginning of flume used from
a square plate made from fiber size of 80* 80cm on the surface of the
flow water. During slope that under three different roughness sizes and a
smooth plate was tested in all experiments was constant and equal to
0.8cm. After passing the gradient surface with distances of 3.5 meters
has the flow arrived to the end of the flume, and finally removed from
valve terminal.



In Figure 1 channel plan (80cm), its equipment and the location of the sloping plane and in Figures 2 & 3
the way measure depth by point meter are shown. In this study,
generally was used from three different slope and spicy (20, 30 and
35%). At each Were installed stage of the slope and a vertical
adjustment for backrest to prevent entering water in to the bottom of a
steep and long it by hydraulic pressure of water, that in terms of the
physical form of the model is as a kind of vertical wedge. As well as on
the corners between vertical plate and slope plate it's created a
compact plastic tubing with a diameter of one centimeter to a climactic
and the same conditions for water flow on slope and avoid break the flow
of water was placed. It is noteworthy that all the perimeter of the
wedge is sealed by adhesive aquarium to prevent the error discharge
(flow rate).



First experiments related to the flat panel is done
in different flow rate, then the steep panel dry and the desired
roughness plane which surface roughness specified by siftings for each
roughness size have been uniformly sized, and attached to form dense
iron by adhesive on a plastic plate with a thickness of about three
millimeter or less. Then, it has stabilized on the screen tilted by a
drop of adhesive and aquarium in order to prevent it from moving flow
and causing errors due to current passing flow rate between the slope
and plastic screen under roughness. Then proceeded to turn on the pump
and increase inflow discharge to entering the flume by the inlet valve.
After ensuring that the desired flow rate and flow conditions is
constant, level of water were measured in a square grid of sixteen
points on the lateral and length by the depth point with a precision of
one millimeter [1-11] (Figure 4-6).

The remarkable thing is that measures are taken
perpendicular to horizontal plane, but the slope calculation in each
model was applied to the data. In this study the three types of
aggregate with three different sizes were used as roughness. Tests were
performed for each of the slope of 35, 30 and 20%, with five rate 0.8,
1.6, 2.4, 3.2 and 4 liters per second and three roughness in size
2,1.5and 1 millimeter that in the Table 1 given below:
Calculation
Considering that flow rate was constant and arbitrary
in testing conditions, the flow rate unit on the width of 80cm in the
flume set determined and also water level were measured longitudinally
and transversely on sixteen points.
From average size of the elevation to get the flow rate based on the continuity relationship was used as follows:

To achieve the effect of Manning roughness
coefficients (n) Value of these parameters by variable parameters in the
test from empirical formula Manning, according to data obtained from
the test was used as follows:

Results and Discussion
The aim of this study is essentially the effect of
steep slopes in mountainous areas and the size of the roughness of the
floor according to the rate specified on the Manning roughness
coefficient. The variable factors measured included: The depth of the
water flow at sixteen points for a network of longitudinal and
Transverse Square. However, the three variable slopes, five variable
rates, three variables size bed sediment and a flat surface were
performed sixty and repeated three times for each test and we had one
hundred and eighty tests sets.
In the end the rate diagrams that include depth,
speed, slope and roughness changes of the roughness coefficients were
obtained as follows:
According to Strickler relationship the Manning roughness coefficient for n is
where Ks is the roughness height in meters, roughness to be 1/6 the
size of the roughness has a direct the relationship. Also people like
Henderson in 1966, C and Raju in 1976 and Hugger in 1999 also found
empirical relationships, which represent the relationship between
Manning roughness and particle size. In this study, as specified in the
charts, the Manning roughness is increased by increasing the size of the
roughness indicates a direct the relationship. Also according to
Manning, Manning roughness has an inversely relationship with the speed.
Also a direct relationship between the size of the flow and the flow
velocity is established. Consequently, as can be seen in the graphs: by
increasing the flow rate increased speed and reduced Manning roughness.

But with increasing flow rate observed the known flow
rate that the different size of varies slope the amount of this
reduction and the resulting difference in the Manning roughness
coefficient decreased and provide to a roughly constant. Gradient table
has a direct relation to the amount of roughness and in (35%) slope have
the highest amount of roughness. The conclusion and recommendations
essentially if only a shallow mountain flows as runoff from
precipitation in these areas to consider, Substantial change to increase
the Manning roughness coefficient and thus reduce the environmental
degradation that is the important objectives cannot be enforced. But
generally in steep mountainous areas of shallow rivers can be used rate
control structures and by reducing flow and thus control the depth and
speed on hydraulic resistance added. So reduce erosion rates, as a
result of the amount of sediment transport and cause problems in
downstream units also decreases.
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