*83. Go Two hoses are connected to the same outlet using a Y-connector,as the drawing shows. The hoses A and B have the same length, but hoseB has the larger radius. Each is open to the atmosphere at the end wherethe water exits. Water flows through both hoses as a viscous fluid, andPoiseuille's law [Q = ™R°(P2 – P)/(8nL)] applies to each. In this law, ,P, is the pressure upstream, P, is the pressure downstream, and Q is thevolume flow rate. The ratio of the radius of hose B to the radius of hoseA is Rg/RA = 1.50. Find the ratio of the speed of the water in hose B tothe speed in hose A.Water fromoutletHose AHose BProblem 83

Given Data RBRA=1.50where RBis the radius of HoseBRAis the radius of Hose A Poiseuille's Law…

Answered: *83. Go Two hoses are connected to the…

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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Question 2 A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the centre of the pipe, as shown in Figure Q2. The pipe has an internal radius, R₂, and the segment of red paste has a radius R₁. The flow is found to follow the Poiseuille equation, i.e. u(r) 1 dp - (R² — r²) 4μ dx dp Where is the pressure gradient. The total flow of dx u is the viscosity of the paste and toothpaste through the pipe is Qtot, and the flowrate of the red paste is red- The toothpaste has a density of p = 1200 kg/m³, and a viscosity of 0.03 Pa.s. The pipe has a radius R₂ 5 cm and a length L = 2 m. = a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R₁, R₂, dº) R₂₁ b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along…
Question 2 A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the centre of the pipe, as shown in Figure Q2. The pipe has an internal radius, R₂, and the segment of red paste has a radius R₁. The flow is found to follow the Poiseuille equation, i.e. u(r) 1 dp 4μ dx (R² — r²) dp dx Where μ is the viscosity of the paste and is the pressure gradient. The total flow of toothpaste through the is Qtot, and the flowrate of the red paste is Qred. The toothpaste has a density of p = 1200 kg/m³, and a viscosity of 0.03 Pa.s. The pipe has a radius R₂ = 5 cm and a length L = 2 m. a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R₁, R₂, ™P) b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along the pipe…
A fluid is being pumped through a pipe. The density of fluid is 872 kg/m³. The viscosity is 2.8x102 Pa.s. The velocity in the pipe is 5.9 m/s. If the Reynolds number is 2100. a- What is the pipe cross-sectional area? b- If the pipe cross-sectional area increased 1.5 fold under same Reynold number, density and viscosity, what is the new velocity?
= constant Q16/ A pipe diameter of 400 mm carries water at a velocity of 25 m/s. The pressures at the points A and B are given as 29.43 N/cm² and 22.563 N/cm² respectively while the datum head at A and B are 28 m and 30 m. Find the loss of head between A and B. Z شكر الكائر 2B ADA=400 mm PA 29.43 N/cm #28 m ZA 28 Dg= 400 mm Pe = 22.563 N/cm ZB = 30 m DATUM LINE
Q1: In a venturemeter used for measuring the flow of oil (S = 0.85) through a horizontal pipeline, the pipe diameter is 2.4 times the diameter at the throat. Connections are made from the entrance to the meter and the throat to a vertical U tube containing mercury. If the difference level between the fluids in the U-tube arms is (x +) in cm, where S.N. is student serial number. Neglect friction in the pipe. Find an expression in terms of x for the velocity of the oil in the pipe. Throat Area, A On, S-0.85 k+(1/S.Nin cm Manometer - Mercury S-136
4. FLUID FLOW 1. The figure below shows a water tank with piping system for a small manufacturing plant. If water flows through the system ((A) at 40 L/s, what would be the pressure at point B? The water has a density of 998 kg per cubic meter and viscosity of 0.8 centipoise. measures 0.04089 m and 0.04826 m in inside and outside diameter, respectively. The tank is exposed to the atmosphere The 1.5 inches (nominal) wrought iron pipe Given: Q= 40L/s = 0.040 m/s p= 998 kg/m H=0.8 centipoise 0.001P-s = 0.08 P-S Reg'd: Pressure at B. = ? 1 cp i.d. = 0.04089 m o.d. = 0.04826 m length of pipe = 110 m
QUESTION 14 The venturi meter has water flowing through it. The pressure difference is 6894.6 Pa. The diameter at point 2 is 0.1524 m, and diameter at point 1 is 2 times of point 2. What is volumetric flow rate through this meter? Write your answer only on m/h only. The coefficient of discharge is assumed to be as unity and density of water 1000 kg/m. [2(P - P2)/p]/2 V2 = C, 1- (A / A}) %3D Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Ans
B1. A water with viscosity 11.4x10-3 poise is flowing through a pipe of diameter 300 mm at the rate of 500 litres per sec. Find the Reynold's Number & the head lost due to friction in the pipe of length 1 km. (Enter only the values by referring the unit given. Also upload the hand written answers in the link provided) The velocity of flow of water (in m/s) is The value of Reynold's Number is The frictional loss in the pipe (in m) is
8. A pumped fluid distribution system is being designed to deliver 400 gal/min of water to a cooling system in a power generation plant. Use the figure below to make an initial selection of Schedule 40 pipe sizes for the suction and discharge lines for the system. Also, solve for the actual average velocity of flow for each pipe. DN (mm) NPS (in) 250 200 150 - 125 - Suction lines 100 - 90 - 3 65 - 2 50 Discharge lines 40 32E 25 E 15 20 200 400 600 800 1000 2000 4000 6000 8000 10000 10 100 Volume Flow Rate, Q (gal/min) 6 8 10 ++++ 15 20 25 30 40 +++++++++ ++++++++++++ 60 80 100 150 200 300 400 500600 800 1000 1200 2000 Volume Flow Rate, Q (m/h)
A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the center of the pipe, as shown in Figure Q2. The pipe has an internal radius, R2, and the segment of red paste has a radius R1. The flow is found to follow the Poiseuille equation, i.e. 1 dp u(r) = -- 4µdx (R²2-²) Where u is the viscosity of the paste and dp dx is the pressure gradient. The total flow of toothpaste through the pipe is Qtot, and the flowrate of the red paste is Qred. The toothpaste has a density of p = 1200 kg/m3, and a viscosity of 0.03 Pa.s. The pipe has a radius R2 = 5 cm and a length L = 2 m. a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R1, R2, dp dx) b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along the pipe…
The water level h(t) in a tank is controlled by an open-loop system as shown below. An armature- controlled DC motor turns a shaft that opens/closes a valve. The inductance of the armature circuit is negligible: Lo=0. Also, the rotational friction of the motor shaft and the valve is negligible. The height of the water in the tank is given by: h(t) = S[1.60(t) – h(t)]dt. The motor torque constant K=10 and the inertia of the motor-valve assembly is J=6x10³ kg-m?. (a) Determine the differential equation for h(t) and v(t). (b) Determine the transfer function H(s)/V(s). Amplifier 10 0 k- 50 Motor TL Valve
Problem 3. Outcome 5. Please show all work. Air at standard pressure but with T= 50°C flows through the ducting system shown in the figure. The gauge measures the pressure difference between the downstream and upstream points. All duct sections have circular cross section. Use the following geometry: D₁ = 60 mm, D, = 200 mm, L= 2 m. At this temperature, ai = 1.95 x 10-5 kg/m-s. Also recall that Rai = 287 J/kg-K. The center pipe is smooth with e0. Ap Voo D2 L D₁ Dz Figure for problem 3. The velocity entering the system, Voo; is measured to be 20 m/s. Estimate the Ap = Pdownstream Pupstream measured by the pressure gauge.

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