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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At low velocities (laminar flow), the volume flow Q through a small-bore tube is a function only of the tube radius R, the fluid viscosity u, and the pressure drop per unit tube length dp/dx. Using the pi theorem, find an appropriate dimensionless relationship.
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At low velocities (laminar flow), the volume flow Q through a small-bore tube is a function only of the tube radius R, the fluid viscosity ?܇, and the pressure drop per unit tube length dp/dx. Using the Buckingham pi theorem, find an appropriate dimensionless relationship. Make use of Table 1
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Q// Upon completion of the Reynolds experiment, we had this information. The tube diameter was 0.03 m, time is 14 sec and the lamellar bisection type 'Find Q flow rate m^3/s , Re, viscosity and velocity m / s at a temperature of 26 ° C for water.
Viscosity can be measured by flow through a thin-bore or capillary tube if the flow rate is low. For length L, (small) diameter D« L, pressure drop Ap, and (low) volume flow rate Q, the formula for viscosity is u = D'Ap/(CLQ), where C is a constant. (a) Verify that C is dimensionless. The following data are for water flowing through a 2-mm-diameter tube which is 1 meter long. The pressure drop is held constant at Ap = 5 kPa. T, °C 10.0 40.0 70.0 Q, L/min 0.091 0.179 0.292 (b) Using proper SI units, determine an average value of C by accounting for the variation with temperature of the viscosity of water.
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.
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
Q// Upon completion of the Reynolds experiment, we had this information. The tube diameter was 0.03 m, time is 14 sec , the viscosity 0.8701*10^-3 pa s and the lamellar bisection type 'Find Q flow rate m^3/s , Re and velocity m / s at a temperature of 26 ° C for water.
Q.5 A plate 1 mm distance from a fixed plate, is moving at 500 mm/s by a force induces a 2 shear stress of 0.3 kg(f)/m. The kinematic viscosity of the fluid (mass density 1000 kg/ 3. m) flowing between two plates (in Stokes) is
: The discharge pressure (P) of a gear pump (Fig. 3) is a function of flow rate (Q), gear diameter (D), fluid viscosity (µ) and gear angular speed (w). P = f (Q, D, H, 0). Use the pi theorem to rewrite this function in terms of dimensionless parameters. Suction Discharge Fig. 3: Gear pump P, Q

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