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In the channel whose cross-section i s drawn below, calculate the critical depth when the discharge...
The discharge Q in a rectangular channel is 6m3 /s. The channel width is 3m and...
The discharge Q in a rectangular channel is 6m3 /s. The channel width is 3m and flow depth is 2m. (i) The channel width is reduced (no change to bed elevation) to 1.5m at a downstream location. What is the flow depth at the constriction? Determine if choking conditions are present. Explain your answer using of a q-y curve. (ii) The channel width is reduced (no change to bed elevation) to 1.0m at a downstream location. Calculate the upstream water...
(I) For a trapezoidal channel with a fixed cross-sectional area of 10m2, bottom width b, depth...
(I) For a trapezoidal channel with a fixed cross-sectional area of 10m2, bottom width b, depth y, and side slopes of 2H:1V, confirm that the most efficient (optimal) cross-section occurs with b / У = 21 V1+ m2-m | , where ,n=2 in this case. To do this, it is easiest to make a Matlab or Excel program with different b/y ratios and 10m2 cross-sectional area, and determine the relative flow rates. Then normalize this by the optimal flow rate...
Problem 1. For the trapezoidal channel cross section shown below, find the following geometric quantities in...
Problem 1. For the trapezoidal channel cross section shown below, find the following geometric quantities in terms of bottom width b, flow depth y, and side slope m. Provide the appropriate dimensions for each tem using the L-T-F (Length-Time-Force) system. For example, [b] L (a) Flow area, A (b) Wetted perimeter, P (c) Hydraulic radius, R (d) Top water surface width, T A (e) Hydraulic depth, D= T Problem 2. Write a function in Matlab that calculates each of the...
A field survey yielded the channel cross-section data given on the next page. Calculate the cross...
A field survey yielded the channel cross-section data given on
the next page. Calculate the cross section area of the active
channel (i.e., the part that has water flowing) and determine the
discharge rate. Assume the average velocity in the channel is 1.3
ft/s. Assume a Manning’s roughness coefficient of 0.04 and
slope=0.0021
.
Red Butte Creek, Sunnyside Park Cross-section 3 Station (ft) Elevation (ft) Notes 2.2 3.2 5.2 8.4 12.6 13.2 14.3 20.6 4678.45 4676.85 4676.1 4675.45 4675 4675.65...
Q1) Consider a rectangular channel with a constant width b, a) Obtain the equation of water...
Q1) Consider a rectangular channel with a constant width b, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel bottom slope in a channel transition assuming that over a short distance Ax, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is supercritical and if there is a downward step at the channel bed and show your results on the graph of...
b. Data: y=1 m b= 5m S= 1/1000 n=0.02 Q-6.317 m^3/s V= 1.263 m/s c) At a point downstream of that in part (b) above, there is a weir, Az is 0.5 m in height. If the section properties of the channel r...
b. Data: y=1 m
b= 5m
S= 1/1000
n=0.02
Q-6.317 m^3/s
V= 1.263 m/s
c) At a point downstream of that in part (b) above, there is a weir, Az is 0.5 m in height. If the section properties of the channel remains the same as in part (b), determine yı the depth of flow just before the weir. Assume negligible headloss across the weir and critical flow occurs over the weir. (yı lies between 1.2 1.3 m) (8 Marks)...
i) Draw (using graph paper) a flow net for the sheet piling configuration whose cross section is illustrated in Figure Q3.
i) Draw (using graph paper) a flow net for the sheet piling configuration whose cross section is illustrated in Figure Q3. ii) Calculate the water flow under the pile per metre length of piling assuming the soil to have a permeability k = 1.3 × 10-4 m/s.
A beam is constructed with an I-section. The dimensions of the cross-section as well as its simplified wireframe/median-line model are shown below, where the symbols, O and , represent the centroid a...
A beam is constructed with an I-section. The dimensions of the cross-section as well as its simplified wireframe/median-line model are shown below, where the symbols, O and , represent the centroid and shear center of the I-section, respectively. Assume the flange and web thicknesses (/f./) are much b=B smaller than the width and height of the section (B.H) and define . Due to the double-symmetry of the cross-section, we have Q- O. As shown in the figures, the cross section...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the ends of the pipe 500 m apart is 4 m of water. Take the value off= 0.009 in the formula hl= a) 19.5e/s b)2.0es e)03 m's d) 29.3 e/s 2. A scale 1:50 scale model of ship is towed through sea water at a speed of 1 ms. A force of 2 N is required...
2% SECTION I Principles of Radiation t, when passed SUMMARY- cont'd transformes, becc s the The...
2% SECTION I Principles of Radiation t, when passed SUMMARY- cont'd transformes, becc s the The aand the electronic times is the most sop H chamber thar is placed betwen located in change). In the United States the olectricity The relatiomshi been volage, current, timer is genes enargh Om's l,which sas that the terminates exposire (ske a timer (otape) across the sotall circuit or a part e hatnqual to the current (amperes) va of the c n ustor deyvads on...
(I) For a trapezoidal channel with a fixed cross-sectional area of 10m2, bottom width b, depth y, and side slopes of 2H:1V, confirm that the most efficient (optimal) cross-section occurs with b / У = 21 V1+ m2-m | , where ,n=2 in this case. To do this, it is easiest to make a Matlab or Excel program with different b/y ratios and 10m2 cross-sectional area, and determine the relative flow rates. Then normalize this by the optimal flow rate...
Problem 1. For the trapezoidal channel cross section shown below, find the following geometric quantities in terms of bottom width b, flow depth y, and side slope m. Provide the appropriate dimensions for each tem using the L-T-F (Length-Time-Force) system. For example, [b] L (a) Flow area, A (b) Wetted perimeter, P (c) Hydraulic radius, R (d) Top water surface width, T A (e) Hydraulic depth, D= T Problem 2. Write a function in Matlab that calculates each of the...
A field survey yielded the channel cross-section data given on
the next page. Calculate the cross section area of the active
channel (i.e., the part that has water flowing) and determine the
discharge rate. Assume the average velocity in the channel is 1.3
ft/s. Assume a Manning’s roughness coefficient of 0.04 and
slope=0.0021
.
Red Butte Creek, Sunnyside Park Cross-section 3 Station (ft) Elevation (ft) Notes 2.2 3.2 5.2 8.4 12.6 13.2 14.3 20.6 4678.45 4676.85 4676.1 4675.45 4675 4675.65...
Q1) Consider a rectangular channel with a constant width b, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel bottom slope in a channel transition assuming that over a short distance Ax, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is supercritical and if there is a downward step at the channel bed and show your results on the graph of...
b. Data: y=1 m
b= 5m
S= 1/1000
n=0.02
Q-6.317 m^3/s
V= 1.263 m/s
c) At a point downstream of that in part (b) above, there is a weir, Az is 0.5 m in height. If the section properties of the channel remains the same as in part (b), determine yı the depth of flow just before the weir. Assume negligible headloss across the weir and critical flow occurs over the weir. (yı lies between 1.2 1.3 m) (8 Marks)...
A beam is constructed with an I-section. The dimensions of the cross-section as well as its simplified wireframe/median-line model are shown below, where the symbols, O and , represent the centroid and shear center of the I-section, respectively. Assume the flange and web thicknesses (/f./) are much b=B smaller than the width and height of the section (B.H) and define . Due to the double-symmetry of the cross-section, we have Q- O. As shown in the figures, the cross section...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the ends of the pipe 500 m apart is 4 m of water. Take the value off= 0.009 in the formula hl= a) 19.5e/s b)2.0es e)03 m's d) 29.3 e/s 2. A scale 1:50 scale model of ship is towed through sea water at a speed of 1 ms. A force of 2 N is required...
2% SECTION I Principles of Radiation t, when passed SUMMARY- cont'd transformes, becc s the The aand the electronic times is the most sop H chamber thar is placed betwen located in change). In the United States the olectricity The relatiomshi been volage, current, timer is genes enargh Om's l,which sas that the terminates exposire (ske a timer (otape) across the sotall circuit or a part e hatnqual to the current (amperes) va of the c n ustor deyvads on...
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