5. The drag force, fd, on a sphere located in a pipe through which a fluid is flowing is to be determinedexperimentally. Assume that the drag is a function of the sphere diameter, d, the pipe diameter, D, thefluid velocity, V, and the fluid density, p. (a) What dimensionless parameters would you use for this prob-lem? (b) Some experiments using water indicate that for d = 0.2in., D = 0.5in, and V = 2ft/s, the dragis 1.5 x 10-3lb. Estimate the drag on a sphere located in a 2 - ft-diameter pipe through which water isflowing with a velocity of 6ft/s. The sphere diameter is such that geometric similarity is maintained. (Ans:31.11b)Sphere

The objective of the question is to determine the drag force on a sphere located in a pipe through…

Answered: 5. The drag force, fd, on a sphere…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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In fluid mechanics, which of the following are true: (a) Fluid mechanics is the branch of science concerned with stationary fluids (b) Fluids like water posses only potential energy (c) The field of fluid mechanics is infinite and endless (d) It is a branch of physics which concerns the study of liquids and the ways in which they interact with forces (e) It is a sience concerned with the response of fluids to forces exerted upon them, (f) the fluid which is in state of rest is called as static fluid and its study is called as statics.
Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, v. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the Tw vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.3-ft- diameter pipe through which water flows at the rate of 1.5 ft3/s. 0.7 Diameter = D 0.6 2 0.5 0.4 Model data (a) 0.3 0.2 0.1 0.5 1.5 Flowrate, Q, ft/s (b) Tw Ib/ft2 Wall shear stress, T,, Ib/ft? n * m N -
> | E9 docs.google.com/form تبديل الحساب Questions 7 نقاط Q1/ The power of 6-blade flat blade turbine agitator in a tank is a function of diameter of impeller, number of rotations of the impeller per unit time, viscosity and density of liquid. From a dimensional analysis, obtain a relation between the power and the four variables. 3. صفحة 2 من
The drag force (Fdrag) exerted by air on a moving car depends on a dimensionless drag coefficient (Carag), the specific volume of air (Vair), the velocity of the car (Var), and the frontal area of the car (Afront). (a) Based on unit considerations alone, obtain an equation for the drag force. Be sure to explicitly demonstrate that the final units are correct. (b) Explain, based on your equation, what happens to the drag force when each variable is changed in isolation. Indicate whether this predicted behaviour matches your intuition in each case.
A uniform stream overflows in a circular cylinder and then a periodic Kármán vortex street is created. Through repeating variables, how can I create a dimensionless relationship for Kármán vortex shedding frequency (fk), where free-stream speed is V, fluid density is p, fluid viscosity is μ, and cylinder's diameter is d?
A Moving to another question will save this response. Quèstion 2 Sl units of dynamic viscogity are: Ns/m? Nm2/s s/m? m2/s A Moving to another question will save this response.
An important parameter in fluid flow problems involving thin films is the Weber number (We) which can be expressed in equation form as We=[pv^2L/(omega)] where p is the density of the fluid, v is a velocity, L is a length, and (omega) is the surface tension of the fluid. If the Weber number is dimensionless, what are the dimensions of the surface tension (omega)?
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
1. (a) The motion of a floating vessel through the surrounding fluid results in a drag force D which is thought to depend upon the vessel's speed v, its length I, the density p and dynamic viscosity μ of the fluid and the acceleration due to gravity g. Show that:- D = pv²1² (1) (b) In order to predict the drag on a full scale 50m long ship traveling at 7m/s in sea water at 5°C of density 1027.7225 kg/m³ and viscosity 1.62 x 103 Pa.s, a model 3m long is tested in a liquid of density 805 kg/m³. What speed does the model need to be tested at and what is the required viscosity of the liquid?
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Looking for correct answer within 30minutes.
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.

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