Find the particular solution of this differential equation, and plot the result.
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- 1. in a section of horizontal piper with a diameter of 3cm the pressure is 5.21 kpa and water is flowing with a speed of 1.50m/s. the pipe narrows to 2.50cm. what is the pressure in the narrower region if water behaves like an ideal fluid of sensity 1000kg/m3 2. tensile stress a. the ratio of elasic modules to strain b. the applied force per crosssectional area c. the ratio of change in length to the orig length d. the strain per unit legth e. the same as forceThe system consists of 1200 m of 5 cm cast iron pipe, two 45° and four 90° flanged long-radius elbows, a fully open flanged globe valve, and a sharp exit into a reservoir. If the elevation at point 1 is 400 m, what gage pressure is required at point 1 to deliver 0.005 m3/s of water into the reservoir? Use the following: v = 1 x 10-6 m2/s Kentrance = 0.5 Kexit = 1 Kvalve = 6.9 f = 0.0316 γ = 9810 N/m3 Choices: 3.44 Mpa 1.02 MPa 3.48 Mpa 1.00 MPa None of the choicesDetermine the pressure drop over a reducer with the following conditions: Fluid density: 25 kg/m3Fluid velocity: 1.5 m/sFluid viscosity: 0.001 Pa*sInlet diameter: 0.12 mOutlet diameter: 0.019 mPipe absolute roughness: 4e-4 m Give your final answer in Pa, rounded to the nearest whole number. [Ignore entrance/exit losses and velocity loss terms]
- Discuss the similarities and contrasting features in the derivations of the following equations: Piezometric head Euler's eq Bernoulli's eq Energy eqThe horizontal tube is 1 m long and 10 cm in diameter and is filled with a sample material. During a test, the upstream head h, falls from 200 to 180 cm in 4 hr, while h₂ is held constant at 15 cm. The diameter of vertical tube in which h, is measured is 40 cm. What is the indicated average hydraulic conductivity?In a pipe of diameter 300mm the center line velocity and the velocity at a point 100mm from the center, as measured by pitot tube are 2.4 m/s and 2.0 m/s respectively. Assume the flow in the pipe to be turbulent find: 1-Dischrge through the pipe,2-Coefficient of friction, 3 Height of roughness projections.Please do not waste my question solve with correct answers only.
- What is the volume flow rate for water (viscosity= .0010 Pa×s) through a length of pipe L= 0.60m and pipe radius r= 1.03cm if the pressure difference across this length of pipe is 5.2 kPa? Note that 1 kPa= 1000 Pa. What would the volume flow rate be if the same pipe had a radius that is reduced by 21% (i.e. the radius is 79% of its previous value)? Let's call this flow rate Q1. What is the ratio of Q1 to the original flow rate Q? Express this as a decimal number.smooth steel pipe of diameter 500 mm and length 850 m carries water at the rate of 0.05 m3/sec. Find the head lost due to friction. Take Kinematic Viscosity of water as 0.018 x 10 m2/sec1. Bernoulli Equation on Pump: Water is being pumped from the lower reservoir to the upper reservoir, as shown in the figure. Water is being pumped from the lower reservoir to the upper reservoir, as shown in the figure. Determine the pump horsepower required, given the following data:Q = 23 ft3/sD = 24 in.Ηpump = 75 %Ltotal = 3600 fthpipe = head loss coefficient = 0.0076 ft/total pipeline length ft show Complete Solution/s (i.e. transformations, equivalent formula, etc).
- The head-discharge relationship for a certain pump can be represented by the equation H-29-6Q^2 The pump is fixed 2 m shove the water surface tank at a level 10 m above the pump. The suction and delivery pipes are 12 m and 720 m long, respectively and each pipe is 0.5 m in diameter. The Estimate the discharge (in m³/s) at the best operating point for the pumping system,Flow takes place between three reservoirs, as shown in Figure 1. The volume flow rateout of reservoirs A and B is 0.15 m3/s and 0.25 m3/s respectively. If the coefficient offriction for the three pipes is 0.008, determine the relative elevations of the freesurfaces. Neglect all losses other than friction. PLEASE USE THE BERNOULLI EQUATION L1 = 1000 m D1 = 200 mmL2 = 1500 m D2 = 250 mmL3 = 2000 m D3 = 400 mmTwo oil tanks are connected by two 9-m-long pipes, asin Fig.. Pipe 1 is 5 cm in diameter and is 6 mhigher than pipe 2. It is found that the flow rate in pipe2 is twice as large as the flow in pipe 1. (a) What is thediameter of pipe 2? (b) Are both pipe flows laminar?(c) What is the flow rate in pipe 2 (m3/s)? Neglect minorlosses.