Fully developed flow moving a 40 cm diameter pipe has the following velocity profile: Radius r, cm 0.02.55.07.510.0 12.5 15.0 17.5 20.0 Velocity v, m/s 0.914 0.890 0.847 0.795 0.719 0.543 0.427 0.204 0 Find the volumetric flow rate Q integrate from 0 to R using the relationship Q = _0^R_2nrvdr. Where r is the radial axis of the pipe, R is the radius of the pipe and v is the velocity. Solve the problem using two steps. Fit a polynomial curve to the velocity data using polyfit. Integrate the equation using int.
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- The pump in the system shown below is used to transport water from reservoir A to reservoir B. The elevation difference between the two reservoirs is Δz, and the piping has a 370 ft length of 16-in diameter. The flow is fully turbulent with Darcy-Weisbach friction factor of 0.0002. The minor losses in the system are negligible and can be ignored. Suppose the pump vendor has supplied the characteristics of the pump in a form of tabulated data (shown in the table below), answer the following: (a) Using an excel sheet, plot the pump supply and efficiency curves Vs volume flow rate using the data provided by the vendor. (b) For the given dimensions of the system, generate the general system curve equation (useful head as function of elevation and volume flow rate). (c) Plot two system curves, one with Δz = 0 ft and Δz = 50 ft, in the same figure of the plots generated in part ‘a’. (d) From part ‘c’, determine the operating points and the efficiencies corresponding to the operating points…Given any Tc, Pc and w, your computer program needs to be able to return a ploted PV and PH diagram of the species. Output of your computer program 1) calculate the Psat at 10 different Ts 2) calculate the Vsat,v and Vsat, L at the 10 different Ts, plot and display the PV diagram with the L-V dome automatically 3) calculate the H along the 10 different isothermal lines, plot and display the PH diagram with the L-V dome automaticallyA robot system has a protective barrier enclosing the work cell area. The total time for the system to cometo a full halt after power is removed is 4 seconds, and an additional distance of 1.2 meter is required because of the height of the guard gate would allow operators to reach over it.Determine the minimum distance from the guard gate to the closed part of the robot work envelope, in meters NOTE: 1 meter = 1,000 millimeters
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