Using the Indicial and Buckingham t method (7-theorem) in dimensional analysis, prove that the discharge (O) over a spillway is given by the following relation: Q=vD° VgD H D where v is velocity of flow, D is depth at the throat, H is head of water and g is gravitational acceleration.

Using the Indicial and Buckingham t method (7-theorem) in dimensional analysis, prove that the discharge (O) over a spillway is given by the following relation: Q=vD° VgD H D where v is velocity of flow, D is depth at the throat, H is head of water and g is gravitational acceleration.

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

(b) One form of fluid movement is rotation and deform angularly. Figure Q1(b) shows the rotation and angular deformation caused by velocity variation about z-axis. Based on Table 1 and setting given to you, derive an equation of rotation. ди Sy St ây > B' ĉu B B ôy dy A' ↑ Sa v+. ôx A ôx Figure Q1(b) : Rotation and Angular Deformation Table 1: Axis of Rotation Setting Axis of Rotation 2 у-ахis
Find the correct option of the given question briefly
Figure shows the flow of water over a dam. Thevolume fl ow Q is known to depend only on crest width B ,acceleration of gravity g , and upstream water height Habove the dam crest. It is further known that Q is proportionalto B . What is the form of the only possible dimensionallyhomogeneous relation for this flow rate?
Question 2 (Potential flow) a) The velocity component of an incompressible and 2-dimensional flow is given by Determine i. ii. iii. u = -x + 4y v = 2x - y The resultant velocity at point (-1m, 1m) The stream function The velocity potential
Questions 01: Write short note on *Fluid kinematics. *Control volume . *lagrangian Flow description . *Evlerian flow Description.
The company has opted to purchase a new viscometer for you, as such, you are required by topropose two options for new viscometers. Select two viscometers and explain their operation andconstraints. (P3)b. (P4) Given that you achieved the following results with a U-Tube viscometer:Temperature/ C Time / s40 5760 4180 29100 16Calculate the viscosity at each temperature if the calibration constant is 0.511.d. (M2) Illustrate the results on a graph of temperature vs viscosity and give a briefing on what yourresults indicate, identifying the response of the oil to temperature and explaining anydiscrepancies that may have occurred during the testing.e. (D2) From your testing you discovered that you had a Newtonian and Non-Newtonian sample.Explain to your team what the two terms mean with respect to temperature and shear force onboth samples, giving at least one example of each type of fluid.
The pressure in a water tower is 27,030 Pascals (N / (m ^ 2)) higher than at an open faucet. The density of water is 1000Kg / (m ^ 3). Use Bernoulli's equation to determine the velocity of outflow from the open faucet. the height difference between the top water level in the tower and the faucet is 9 meters, then the velocity of outflow is
For the section shown below, composed of a semicircle together with a ¼ circle, we are asked to determine the polar moment of inertia about O in cm^4. Tip: use the geometric property tables of the sections to solve the problem. Source: Porto (2014, p. 51). PORTO, M. A. Exercises for vector mechanics. Sao Paulo: University of Sao Paulo, 2014. 4 question options: a) The moment of inertia is 8654.21 cm^4. B) The moment of inertia is 3926.99 cm^4. c) The moment of inertia is 10865.98 cm^4. d) The moment of inertia is 7853.98 cm^4. e) The moment of inertia is 11708.97 cm^4.
A fluid flow is described (in Cartesian coordinates) by u = x2, v = 4xz. (a) Is this flow two-dimensional or three-dimensional? (b) Is this flow field steady or unsteady? (c) Find the simplest form of the z-component of velocity if the flow is incompressible.
For a venturi meter given below, the volumetric flow rate is defined in terms of the geometrical parameters, the density of working fluid (p), and density of the manometer liquid (pm) as 4. Q = f(D, D2, A2, g, h, Pmv Pr) %3D Write down the balance equations and show your work to end up with an expression for the volumetric flow rate in terms of the variables defined above.
Looking for correct answer within 30minutes.
How would I calculate the fluid acceleration along the nozzle centerline. Here, there is steady flow of water through an axisymmetric garden hose nozzle and alongthe centerline the water speed increases from uentrance to uexit . The centerline water speed increases parabolically through the nozzle. What would be an equation for centerline speed u(x), based on the parameters given in the drawing from x = 0 to x = L ?