The Agure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U. (154A Greater than Less than Less than Less than Less than Equal to Dalm PR is... Ps Vo is ... 0.5VT Puis... PT Vs is ... VR PT is... Ps. Vu is ... VT

The Agure illustrates flow through a pipe with diameters of 1.0 mm and 2.0 mm and with different elevations. Px is the pressure in the pipe, and Vx is the speed of a non-viscous incompressible fluid at locations x = Q,R,S,T, or U. (154A Greater than Less than Less than Less than Less than Equal to Dalm PR is... Ps Vo is ... 0.5VT Puis... PT Vs is ... VR PT is... Ps. Vu is ... VT

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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1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p-6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = V(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? c. Assume the pressure gradient is uniform on the cross-section and can be calculated using - The velocity profile in the cylinder is u(r) = [1-2²]. Sketch the velocity profile. Calculate the shear stress at the ax 2μ δχ cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L r L. R
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1. A piston-cylinder is producing a viscous oil flow, which has the flow rate of Q, radius R=1.5 mm, and stroke L-5 mm. The fluid density is p = 800 kg/m³ and the viscosity is μ = 0.5 Pa-s. The pressure to drive the flow is p=6.25 Pa. a. How many non-dimensional groupings can be obtained? Derive them. b. If the flow transitions at Re = PV(2R) =2300. Is the generated flow laminar or turbulent given Q=20 mL/s? LL c. Assume the pressure gradient is uniform on the cross-section and can be calculated using OP=-. The velocity profile in the cylinder is u(r) = ax - [1-(²]. Sketch the velocity profile. Calculate the shear stress at the R² ap 2UÔI cylinder wall and label the direction. d. Calculate the flow rate Q with the velocity profile in (c).. e. If the shear stress is uniform over the cross-section, i.e. T = C, what's the pressure gradient distribution and sketch it? L L. R
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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.
A thin-plate orifice is used to measure water flow rate. The water temperature is 27 C and a mass flow rate of 50 lit/s is measured by the orifice. The pipe diameter is 26 cm and the orifice diameter is 7 cm. Find the non-rcoverable pressure drop. [Ans.: 21 m, Cd = 0.6, K = 2.5].