6. Water flowing under the obstacle shown in Fig. 1 puts a vertical force F, on the obstacle. This force is assumed to be a function of the volumetric flowrate Q, the water density p, the gravitational acceleration g, and a length & that characterizes the size of the obstacle. A 1/20 scale model is to be used to predict the vertical force on the prototype. (b) Perform a dimensional analysis for this problem. If the prototype flowrate is 100 m³/s, determine the water flowrate

6. Water flowing under the obstacle shown in Fig. 1 puts a vertical force F, on the obstacle. This force is assumed to be a function of the volumetric flowrate Q, the water density p, the gravitational acceleration g, and a length & that characterizes the size of the obstacle. A 1/20 scale model is to be used to predict the vertical force on the prototype. (b) Perform a dimensional analysis for this problem. If the prototype flowrate is 100 m³/s, determine the water flowrate

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional analysis to estimate the wave speed of an atomic bomb explosion. He assumed that the blast wave radius R was a function of energy released E, air density p, and time t. Use dimensional reasoning to show how wave radius must vary with time.
Here, a 1:10 scale prototype of a propeller on a ship is to be tested in a water channel. What would the rotating speed of the model be if the rotational speed of the p propeller is 2000 rpm, and if: (a) the Froude number governs the model-prototype similarity(b) Reynolds number governs the similarity
Fluid Mechanics Problem
Problem 5 s): The discharge pressure (P) of a screw pump (Fig. 5) is a function of flow rate (Q), screw diameter (D), fluid viscosity (u) and screw angular speed (w). P = f (Q, D, μ, w). Use the pi theorem to rewrite this function in terms of dimensionless parameters, ₁ g (T₂). Choose Q, D, and u as repeating variables. Screw Fig. 5: Screw pump
An underwater device which is 2m long is to be moved at 4 m/sec. If a geometrically similar model 40 cm long is tested in a variable pressure wind tunnel at a speed of 60 m/sec with the following information, Poir at Standard atmospheric pressure = 1.18kg/m³ Pwater = 998kg/m3 Hair = 1.80 x 10-5 Pa-s at local atmospheric pressure and Hwater = 1 × 10-3 Pa-s then the pressure of the air in the model used times local atmospheric pressure is
I need an answer quickly
A prototype ocean platform piling is expected to encountercurrents of 150 cm/s and waves of 12-s period and 3-mheight. If a one-fifteenth-scale model is tested in a wavethe channel, what current speed, wave period, and wave heightshould be encountered by the model?
2. The apparatus shown below is designed to measure the density of an unknown fluid (p2₂). The two sides of the device are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the device via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are unstretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression for the unknown density p2 = f(p1, h₁, h₂, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to its equilibrium location before the fluids are poured into the apparatus. h₁ P1 k₁ 5 P2 ли Ax k₂ h₂
I need the answer as soon as possible
Q.2. The force of impeller depends on the volumetric flowrate of fluid (Q) through the pipe of diameter (d) ,fluid density and viscosity , rotation of impeller (N). By using the dimensional analysis (Buckingham's Theorem), find the relation between the above parameters.
Torque T needed to rotate a disk in a liquid depends on the diameter D, the angular velocity w, the fluid density p and viscosity, and the distance from the wall x. Relate torque to the other variables using the MLT system. Justify reasons for the chosen repeating variables.
Problem 4: The power P developed by a wind turbine is a function of diameter D, air density p, wind speed V, and rotational rate @. Viscous effect is negligible. (4a) Rewrite the above relationship in a dimensionless form; (4b) In a wind tunnel, a small model with a diameter of 90cm, rotating at 1200 RPM (revolution per minute), delivered 200 watts when the wind speed is 12m/s. The data are to be used for a prototype of diameter of 50m and wind speed of 8 m/s. For dynamic similarity, what will be (i) the rotational speed of the prototype turbine? (ii) the power delivered by the prototype turbine? Assume air has sea-level density.