Water flows over a dam as illustrated in Figure Q6. Assume that the flowrate, q, per unit length along the dam depends on the head H, width b, acceleration of gravity g, fluid density P, and fluid viscosity u. develop a suitable set of dimensionless parameters for this problem.
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- Problem 10.28 Consider the channel shown in (Figure 1). Suppose that a = 370 mm, b = 210 mm, c = 50 mm. Figure 1 of 1 Part A Determine the location of the centroid of the channel's cross-sectional area. Express your answer to three significant figures and include the appropriate units. y = Submit Part B li μА Ig' = Value Submit My Answers Give Up Units Determine the moment of inertia of the area about this axis. Express your answer to three significant figures and include the appropriate units. μА Value Units p My Answers Give Up ? ? Provide Feedback ContinueAs shown in the figure below, a pump lifts water through a 100-mm diameterductile iron pipe (friction factor f = 0.0251) from a lower to an upper reservoir. If the differencein elevation between the reservoir surfaces is 10 m, and the pump performance curve is givenby H = 15 – 0.1Q2, where H is in m and Q in L/s.a. Determine the system head curve (relationship between TDH and Q) assuming theentrance and exit loss coefficients are both 1b. Estimate the flow rate through the systemc. If the minimum NPSH for this case is 1.5 m, determine the maximum height above thelower reservoir that the pump can be placed (assuming that the atmospheric pressure Pa=101 kPa, specific weight of water ? = 9.79 kN/m3, and the water vapor pressure Pv= 2.34 kPa).Problem 1. Reynolds Transport Theorem. Two streams discharge into a pipe as shown. The flows are incompressible. The volume flow rate of stream A into the pipe is given by Qa = 0.02t m^3 /s and that of stream B by QB = 0.008t² m^3 /s, where t is in seconds. The exit area of the pipe is 0.01 m^2 . Find the velocity and acceleration of the flow at the exit at t = 14 seconds. A=0.01m2 Figure 1. Problem 1 Illustration.
- The figure given below is a storage tank that contains a liquid at depth y, where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are replenished at a sinusoidal rate 3Q sin?(t). Suppose that the outflow is not constant but rather depends on the depth. The differential equation for depth can be written as dy a(1+ y)125 = 3 sin?(t) dt A A y Use Euler's method to solve for the depth y from t= 0 to 10 d with a step size of 2 d. The parameter values are A = 1250 m², Q = 425 m³/d, and a = 175. Assume that the initial condition is y(0) = 0. (Round the final answers to five decimal places.)Richard Equation studies the relation between? A- Hydraulic conductivity and time. B- Discharge, hydraulic conductivity and time. C- matrix potential head and hydraulic conductivity. D- matrix potential head and time. What is the correct answer above???An orifice meter of 0.15 m diameter is fitted in a 0.3 m diameter pipe to measure the flow rate of water through it. If the pressure difference across the orifice is 10 m of water head, calculate the discharge in the pipe. Assume the coefficient of discharge of the orifice meter as 0.59. Include the figure. Answer should be: Q=0.15m^3/s
- Question B2 As shown in Figure B2, a cylindrical steel structure (density pb = 8000 kg/m³) loosely sits vertically on a flat concrete slab that is fixed at the bottom of the riverbed and in parallel to the river stream. The diameter and length of the cylindrical steel structure, which is fully immersed in the river stream, are 1 m and 6 m, respectively. The properties of water are given as density p = 1000 kg/m³ and viscosity µ = 1.0x103 N.s/m?, respectively. The drag coefficient of the cylindrical steel structure can be taken as 0.5. It is assumed that i) the flow of river stream is steady; i) the ground effect around due to the slab on the river stream is negligible; ii) the acceleration due to gravity, g. can be taken as 10 m/s?. Determine the minimal speed of river stream, V, at which the cylindrical steel structure can be tipped over. V H=6m D=Im Concrete slab River bed Figure B2Problem 7.7 A mixing basin in a sewage filtration plant is stirred by a mechanical agitator with a power input W = F. LIT. Other parameters describing the performance of the mixing process are the fluid absolute viscosity μ=F.T/Ľ², the basin volume = Ľ³, and the velocity gradient G=1/T. Determine the form of the dimensionless relationship.3) An incompressible flow velocity field is given as 1 1 [m/s] r r where r is in meters. (a) Calculate the mass flow rate through the cylindrical surface at r =1 m from z = 0 to z =1 m as shown in Figure A (b) Show that mass is conserved in the annular control volume from r = 1 m to r = 2 m and z = 0 to z = 1 m as shown Figure B a 2 m. I m 1 m 1 m 1 m
- The cross-section of a concrete dam, with consistent density and after draw down, is shown in the figure. Find: (1) XC, the x-coordinate of the centroid (2) yC, the y-coordinate of the centroid y J d/2 d 0.5 d Answer all numeric solutions with five significant figures. d = 0.71 m X h = 9.37 mPrepare a simple drawing for your explanation. 4. What parameters characterize whether a flow is uniform or non-uniform? Steady or unsteady? 5. Draw the difference between laminar and P1 P2 Pi turbulent flows. 6. Consider the figure on the right, which between a and b considers the viscosity of fluid and why? (a) P1=P2 (b) Pi>P2Water demand of a city is supplied from four identical (same) wells tapped into aquifer as seen in figures. Water enters the wells from only sides and it is assumed that there are no interaction between wells. The aquifer is bounded from the ground water table from above and impermeable layer from below. The minimum distance between two wells is given as 1 km and r shows the radius of the well (r=1.0 m). (Meanqday=200 lday/capita, k=0.003 m) ) Determine the optimum discharge and optimum drawdown for a single well. b) Are the wells enough to supply the water demand of the city with population of 200000? Explain. » Determine the drawdown for a single well. H-h Q = zk - In H-h Q = 2rkm- R=3000s E R 10 In 1km GWT 7 1km 1km Ague 15m Ipem 1km Plan View of the Wells Location