The laminar pipe flow example of"design a capillary viscometer|. If Q is the volume flowrate, L is the pipe length, and Ap is the pressure drop fromentrance to exit, the theory of Chap. 6 yields a formula forviscosity:can be used to8LQPipe end effects are neglected [29]. Suppose our capillaryhas r, = 2 mm andL = 25 cm. The following flow rate andpressure drop data are obtained for a certain fluid:Q. m'h0.720.361.081.441.80Ap, kPa15931847712741851What is the viscosity of the fluid? Note: Only the first threepoints give the proper viscosity. What is peculiar about thelast two points, which were measured accurately?

Write the given formula for viscosity of the fluid in the laminar pipe flow.

Answered: The laminar pipe flow example of"…

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

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A wave-energy harvester is to be built off the north shore of Honolulu (seawater at 20°C) where the average wave speed is V = 15 m/s. The size of the prototype device is characterized by its height H Laboratory water tank (fresh water at 20°C) where the wave speed is 5 m/s (shallow water wave speed is only a function of depth). 6 m. A model is to be tested in the Davidson (a) express the predicted power generated W as a function of density p, height H, wave speed V, and gravity g. (b) similarity. (c) output. Derive a set of dimensionless parameters using the Pi theorm that will Determine the height of the laboratory model device to ensure dynamic If the model produces 6.85 kW, determine the expected prototype power
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Define and briefly explain the_terms listed below, support your elaboration with mathematicalequations and illustrations where necessary:1. Viscous flow, inviscid flow, compressible and incompressible flow2. Laminar flow, tubulent flow, steady and unsteady tlow3. Reynolds number and Mach number4. VIScOSty, specific gravity, specitic densityBuoyancy., centre of gravity and center of pressure. Bemoulli's equation
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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 -
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Suppose you have crude oil flows through an annulus between two horizontal pipes with the same center, if the velocity distribution, and the average velocity Vavp are expressed by: R R In (R₂/R.) (F)] In- 4μl. R-R ΔΡ SµL R+R In(R./R) Where AP: is the pressure drop through the annulus, u: is the fluid viscosity, L: is the pipe length, R, and R₂: are the inside radius of inner and outer pipes, respectively. Write a program in a script file that calculates the velocity distribution and the average velocity. When the script file is executed, it requests the user to input AP. u. L. R, and R₂ where r has many values between R₁ and R₂. The program displays the inputted values and the calculated average velocity (using fprintf) followed by a table with the values r in the first column and the corresponding values of the velocity distribution in the second column.
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