Using dimensional analysis, show that A flow from an injector is leading to the formation of a spray of liquid drops. The drops formed in the spray have anaverage diameter d, which depends on the diameter of the pipe to which the injector is fitted D, the liquid velocity V, theacceleration of gravity g, and the liquid properties including density p, viscosity µ, and surface tension o. Usingdimensional analysis, show thatPVD ÞV²D _gDo 'y?d%3DD

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Answered: A flow from an injector is leading to…

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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The glycerin at 40 C flows through a horizontal cylindrical pipe. The length of the pipe is 70 m and the diameter of the pipe is 4 cm. The flow is steady state and fully developed. The velocity of the fluid at the centerline is 6 m/s. PLEASE DRAW THE FIGURE OF THE PIPE and labet the necessary info . The density and the viscosity of the glycerin at 40 0C are 1252 kg/m3 and 0.3073 kg/m.s, respectively. Is this a laminar flow? Write an equation for the variation of the local flow velocity with the radial direction. Determine the shear stress exerted by the glycerin on the wall of the pipe. Calculate the volume flow rate.
As a process engineer, you are designing a new drinking water treatment plant using conventional treatment process including Two Rapid Mixers as follows: The design flow is 50 million gallons per day (MGD) (1 Gallon = 3.785 L, 1 m³ = 1000 L). The average temperature of water is 5°C with a dynamic viscosity, μ = 1.519 x 10-3 Pa.Sec In each rapid mixer with a square shape, detention time, e = 1 min, water depth H = 13 ft, and power input P = 1.5 kw (1 ft = 0.3048 m, 1 KW = 1,000 W) The equivalent diameter, TE for each rapid mixer is ________ m. TE || AIR 1) 4.1 2) 4.4 3) 4.6 4) 4.8 5) 0.4
The laminar flow of a fluid with a constant viscosity, 4, inside a channel is governed by the following boundary value problem (strong form): d'u dp for y E (0, h) "dy dr u = 0 at y = 0 and y = h vhere u is the fluid velocity and is the pressure drop in the direction of the flow. a) Derive the weak form of the boundary value problem described above.
The ethanol solution is pumped into a vessel 25 m above the reference point through a 25 mm diameter steel pipe at a rate of 8 m3/hour. The length of the pipe is 35m and there are 2 elbows. Calculate the pump power requirement. The properties of the solution are density 975 kg/m3 and viscosity 4x 10-4 Pa s. a. Reynolds number = b. Energy Loss along a straight pipe = J/kg. c. Energy Loss in turns = J/kg. d. Total energy to overcome friction = J/kg. e. Energy to raise water to height = J/kg. f. Theoretical energy requirement of the pump kg ethanol/second = J/kg. g. Actual pump power requirement = watt.
Consider the setup shown below, with a valve to adjust the flow of a fluid to an orifice meter equipped with a differential manometer across it, in series with a rotameter that has been previously calibrated for liquid acetone (density= 0.791 g/cm3), the fluid of interest. The rotameter calibration expression was found to be V=1.56R, where the volumetric flow rate is in mL/s and the rotameter reading is unitless. The manometer fluid has a specific gravity of 1.210. a) For one valve setting resulting in a rotameter reading of 82.0 as liquid acetone flows through the system, the height difference of the manometer fluid is 22.0 mm. The volumetric flow rate for this condition in mL/s with 3 sig. fig's is b) For one valve setting resulting in a rotameter reading of 80.0 as liquid acetone flows through the system, the height difference of the manometer fluid is 22.3 mm. The pressure drop for this condition in Pascals (Pa) with 3 sig. fig's is
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At a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]
Liquid is pushed through the narrow gap formed between two glass plates. Thedistance between the plates is h and the width of the plate is b . Assuming that theflow is laminar, two-dimensional and fully developed, derive a formula for thelongitudinal pressure gradient in terms of the volumetric flow rate, Q, the fluid viscosityand the distances b and h .In an example the above conditions apply with b = 0.10 m and h = 0.00076 m. Theliquid is glycerine that has an absolute viscosity of 0.96 N s/m². A pressure differenceof 192 kN/m² is applied over a distance of 0.24 m. Calculate the maximum velocity thatoccurs in the centre plane of the gap and the mean velocity.Answer 0.06 m/s
The mean volume flow rate in the femoral artery is 5 ml/s. The length of the femoral artery is 18 cm and the diameter is 1.0 cm. Estimate the pressure drop over the length of this artery assuming steady flow. The kinematic viscosity of blood is 0.032 Poise. Give your answer in mmHg.
Z\0 @ P 0:10 ZAIN IQ II. Quiz 2 Thermo.pdf Gas flowing through a diverging nozzle has at inlet section a temperature of 20 °C, pressure 120 kN/m² and velocity 300 m/s. At the outlet of the nozzle the velocity has fallen to 100 m/s. Assuming an adiabatic flow, what is the values of outlet pressure, temperature, internal energy and specific enthalpy at outlet section. Take y= 1.333 and Cv= 0.86 kJ/kg K.
A venturi meter, shown in Fig. designed constriction whose pressure difference is a mea- sure of the flow rate in a pipe. Using Bernoulli's equation for steady incompressible flow with no losses, show that the flow rate Q is related to the manometer reading h by is a carefully 2gh(PM – p). A2 VT- (D/D;)4 where py is the density of the manometer fluid. 2
Reynold's number of 11090 is obtained for a certain value opening in a shut off valve experimentjexercise 1), when water flows through a pipe of diameter 23 mm. The viscosity of water is 1.14 x10-Nm Find the velocity of flow for this valve opening in m/s=

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