When a tank of length LL and water depth hh is disturbed, th…
When a tank of length LL and water depth hh is disturbed, the free surface oscillates with frequency Ω\Omega. The frequency is assumed to depend on: Tank length LL Water depth hh Fluid density ρ\rho Gravitational acceleration gg Using dimensional analysis, express this relationship in dimensionless form. Select the correct answer: A. ΩL2g=f (hL)\displaystyle \Omega \sqrt{\frac{L^2}{g}} = f\!\left(\frac{h}{L}\right) B. ΩLg=f (hL)\displaystyle \Omega \sqrt{\frac{L}{g}} = f\!\left(\frac{h}{L}\right) C. ΩL2g=f (hL)\displaystyle \Omega \frac{L^2}{g} = f\!\left(\frac{h}{L}\right) D. ΩLg=f (hL)\displaystyle \Omega \frac{L}{g} = f\!\left(\frac{h}{L}\right)
Read DetailsAn 84% efficient pump delivers water at 20∘C20^\circ\text{C}…
An 84% efficient pump delivers water at 20∘C20^\circ\text{C} from one reservoir to another reservoir 20 ft higher, as shown in the figure. The piping system consists of: 60 ft60\ \text{ft} of galvanized iron pipe Pipe diameter D=2 inD = 2\ \text{in} A reentrant entrance Two screwed 90∘90^\circ long-radius elbows A screwed-open gate valve A sharp exit The flow rate isQ=0.4 ft3/s For water at 20∘C20^\circ\text{C}, useρ=1.94 slug/ft3,μ=2.09×10−5 slug/(ft. s)\rho = 1.94\ \text{slug/ft}^3, \qquad \mu = 2.09\times10^{-5}\ \text{slug/(ft\cdot s)} For galvanized iron, takeε=0.0005 ft Assume the system is analyzed without the 6° well-designed conical expansion at the exit. Determine the input power required in horsepower. Some Information need to be extracted regard the minor losses (K value) use the table and figures provided.
Read DetailsWater flows from a reservoir through a cast iron pipe and a…
Water flows from a reservoir through a cast iron pipe and a turbine, then exits to the atmosphere. Given: Pipe length: L=125 mL = 125\ \text{m} Diameter: D=5 cmD = 5\ \text{cm} Elevation difference: Δz= 31 m Flow rate: Q=0.004 m3/sQ = 0.004\ \text{m}^3/\text{s} Fluid properties (water at 20∘C20^\circ C: ρ=998 kg/m3,μ=0.001 kg/(m. s) Cast iron roughness: ε=0.26 mm,f≈0.0316\varepsilon = 0.26\ \text{mm}, \quad f \approx 0.0316 What is the power extracted by the turbine (W)? Please extract the required minor losses K value from the figure and tables to solve the problem.
Read DetailsWater flows upward in a 6 cm-diameter pipe at a velocity of …
Water flows upward in a 6 cm-diameter pipe at a velocity of 4 m/s. The pipe length between points (1) and (2) is 5 m, and point (2) is 3 m higher than point (1). A mercury manometer connected between points (1) and (2) shows a reading of: h=225 mmwith pressure at point (1) higher than at point (2). Given: γHg=133,100 N/m3,γw=9,790 N/m3 Determine the head loss hf in meters. hint: use Bernoulli equation to calculate pressure drop then calculate the head losses.
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