A liquid of viscosity of 0.03 N s m 2 is flowing under laminar conditions through a convergent, tapered tube for which the tube diameter changes linearly with length. The tube length is 0.50 m and its diameter varies from 0.01 m at the entrance to 0.005 m at the exit. Determine the pressure drop which is required to maintain the flow at a rate of 10-7 m3 s-1. The effect of kinetic energy due to the change in velocity in the tube may be neglected. Show the derivation of the final eauation used in solving this problem.

A liquid of viscosity of 0.03 N s m 2 is flowing under laminar conditions through a convergent, tapered tube for which the tube diameter changes linearly with length. The tube length is 0.50 m and its diameter varies from 0.01 m at the entrance to 0.005 m at the exit. Determine the pressure drop which is required to maintain the flow at a rate of 10-7 m3 s-1. The effect of kinetic energy due to the change in velocity in the tube may be neglected. Show the derivation of the final eauation used in solving this problem.

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

See similar textbooks

Related questions

Q: Problem 3 The Flame Consulting Company (FCC) is designing an experiment where the average velocity…

A: Given:Velocity profiles:Laminar flow, uVc=1-rR2Turbulent flow, uVc=1-rR1/nFind:The radial location…

Q: Oil with density 894 kg/m^3 and viscosity 2.33 kg/m.s flows in a 415 meter long 40-cm-diameter…

A: The density of the oil is: ρ= 894 kg/m3The dynamic viscosity of the oil is: μ= 2.33 kg/m.sThe length…

Q: The venturi meter is to be installed in a schedule 40 4-in(ID=4.026 in) line to measure the flow of…

A: Given data in SI unit:

Q: The developed velocity profile in a square duct can be given by the following equation Where a is…

Q: 4- Consider the fully developed flow of glycerin at 40°C through a 70-m-long, 2-cm-diameter,…

A: Given data as per questionLength of pipe = 70 mDiameter = 4 cmVelocity of fluid = 6 m/sDensity of…

Q: The rate of flow of water through a cylindrical tube that has an inner radius of 1.2 cm is 2791 cm3…

A: Givenr=1.2cm =0.012mQ=2791 cm3t=88sT=293 K

Q: Water flowing in a straight cylinder tube with radius of 3mm, has a maximum velocity U0=15cm/s. If…

Q: Water flowing steadily in a horizontal circular pipe with an interior diameter of 20mm. The length…

A: Given :- Interiov diamwter, d= 20mm=0.02mLength of the pipe, L =10mpipe material material -stainless…

Q: A person is donating blood. The 0.36 L bag in which the blood is collected is initially flat and is…

A: Given: The volume of the blood bag, V = 0.36 L = 0.00036 m^3 The diameter of the tube, d2 = 2.8 mm =…

Q: Water flows in a certain cylindrical pipe Im long with an inside diameter of 1mm. The pressure…

A: Given:Length of the pipe, L=1 mPipe diameter, d= 1mm=0.001 mPressure difference between the ends of…

Q: Determine the maximum allowable height, in metres, of a pump relative to a reservoir it is…

Q: oss in turbulent flow in a pipe (a) varies directly as velocity (b) varies inversely as square of…

Q: Oil with density 917 kg/m^3 and viscosity 2.33 kg/m.s flows in a 400 meter long 41-cm-diameter…

A: The density of the oil is: ρ= 917 kg/m3The dynamic viscosity of the oil is: μ= 2.33 kg/m.sThe length…

Q: Heated air at 1 atm and 35 °C is to be transported in a 150 m long circular plastic duct at a rate…

Q: A 200 ft long steel (sheet metal) pipe 3 in in diameter connects two reservoirs of high viscosity…

Q: Consider the flow of oil with p = 870 kg/m² and u = 1.03 kg/m-s in a 3-cm-diameter, 1.5-m-long…

A: Given data: density, ρ=870 kg/m3 dynamic viscosity, μ=1.03 kg/m-s diameter, d = 3 m = 0.03 m…

Q: Oil having a density of 833 kg/m3 and a viscosity of 3.3 x 10-3Pa.s is pumped from and open tank to…

A: Given Density = 833 kg/m3 Viscosity = 3.3 X 10 Pa S Pressure = 345 kPa Diameter = 0.07792 m…

Q: Water with a density of 999.1 kg/m3 and absolute viscosity of 1.138 X 10-3 kg/m·s is flowing…

A: Given question belongs to the subject Fluid Mechanics and from the chapter Flow through pipes.

Q: Two tanks are connected by a piping system made of commercial steel. The system is composed of pipes…

A: Answer: Volumetric flow rate = 0.0121 m3/s Direction of flow = from tank 2 to tank 1 Images of the…

Q: Liquid ammonia at -20°C is flowing through a 20-m-long section of a 5-mm-diameter copper tube at a…

A: Write the given information. Write the properties of ammonia at -20°C. Write the expression of the…

Q: Ethylene Glycol at 60°C with a velocity of 4 cm/s enters a 2.5 cm diameter tube. The viscosity at…

Q: 1- Oil with a density of 850 kg/m3 and kinematic viscosity of 0.00062 m2/s is being discharged by a…

A: Given data: ρ=850 kg/m3v=0.00062 m2/sd=8 mmL=40 mh=4 m Need to determine the flow rate of oil…

Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

A liquid of viscosity of 0.03 N s m2 is flowing under laminar conditions through a
convergent, tapered tube for which the tube diameter changes linearly with length.
The tube length is 0.50 m and its diameter varies from 0.01 m at the entrance to
0.005 m at the exit. Determine the pressure drop which is required to maintain the
flow at a rate of 10-7 m3 s-1. The effect of kinetic energy due to the change in
velocity in the tube may be neglected. Show the derivation of the final eauation
used in solving this problem.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Carbon dioxide is being pumped through a smooth pipe at the rate of 3×10-4 kmol/sec for a distance of 2000 m. Ifthe line is isothermal at 323.15 K and the pressure at the entry point is 750 ×103 Pa and at the exit point is 430×103 Pa, what diameter should the pipe has to ensure that the CO2 will be delivered to the end point with the pressure drop experienced. The viscosity of CO2 at 323.15 K is 1.45×10-5kg/m.s. One trial is sufficient given you tell us how you will proceed to achieve an accurate diameter estimate. Hint: for your initial guess, use D in the range of 0.01-0.02 m.
Determine the pressure drop, the head loss, and the pumping power required to overcome the frictional losses in the tube, if the liquid ammonia at -20°C is flowing through a 30- m-long section of a 5-mm-diameter copper tube at a rate of 0.15 kg/s. Ammonia D= 5 mm 0.15 kg/s L = 30 m
Oil is transported in a horizontal circular pipe with diameter 10 cm and volume flow rate of 0.003 m³/s. The oil density is p = 917 kg/ m³ and its dynamic viscosity is μ = 0.1 Ns/ m². Determine the Reynolds number and flow status (laminar or turbulent) in the pipe, and further calculate the head loss and pressure drop over 1000 m of this horizontal pipe. The flow is assumed to be fully developed laminar flow throughout the pipe.
Nitrogen having a temperature of T1T1 = 290 KK . and absolute pressure of p1p1 = 330 kPakPa flows into the smooth pipe at M1M1 = 0.3. It is heated at 100 kJ/[kg⋅m]kJ/[kg⋅m]. (Figure 1) Figure 1 of 1 Part A Determine the velocity of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units. V2V2 = nothingnothing SubmitRequest Answer Part B Determine the pressure of the nitrogen when it exits the pipe at section 2. Express your answer to three significant figures and include the appropriate units. p2p2 = nothingnothing
Liquid fuel of kinematic viscosity 2.37x10-6 flows through the pipe of diameter 15 cm. Determine the entrance length for the flow where the volumetric flow rate is 0.04 m³/s.
What are the primary considerations when selecting a flowmeter to measure the flow rate of a fluid?
Q3 Glycerin at 40°C with density of 1252 kg/m³ and viscosity of 0.27 kg/m.s is flowing through a 5-cm-diameter horizontal pipe made of stainless steel with a mean velocity of 4 m/s. Determine the pressure drop per 10 m of the pipe and the required pumping power. What will be the required pumping power if the fluid changed to air.
Parvinbhai
Consider water flowing through a water hose of length of 100 ft, diameter of 3/8 inch, and average surface roughness 5-105 ft. The gage pressure at the hose inlet is 40 psi. The hose contains a ball valve which controls the flow rate. Calculate the mass flow rate of water through the hose with the ball valve completely open and with ball valve 2/3 closed. Hint: Determining the friction factor requires an iterative approach - start the iterations by assuming that the friction factor is equal to 0.01 and perform at least 3 iterations.
The velocity profile for the fully developed laminar flow of a Newtonian fluid between two large parallel plates is given by as shown in fig.where 2h is the distance between the two plates, u0 is the velocity at the center plane, and y is the vertical coordinate from the center plane. For a plate width of b, obtain a relation for the flow rate through the plates.
An iron bar 2.0 cm x 3.0 cm x 10.0 cm at a temperature of 95 °C is dropped into a barrel of water at 25 °C. The barrel is large enough so that the water temperature rises negligibly as the bar cools. The rate at which heat is transferred from the bar to the water is given by the expression Q (J/min) = UA (Th - Tw.) where U = 0.05 J/(min cm °C)] is a (cm) is the exposed surface area of the bar, T₁, and T are the surface temperature of the bar and the water temperature, respectively. The heat capacity of the bar is 0.46 J/(g °C). Heat conduction in iron is rapid enough for the temperature T, to be considered uniform throughout the bar. a) Write an energy balance on the bar M = (60 cm³)(7.7 g/cm³) = 462 g C₁ = 0.46 kJ/(kg-°C), T = 25°C U= 0.050 J/(min-cm² °C) |4=2[(2)(3) + (2)(10) +(3)(10)]cm² = 112 cm²
In regions far from the entrance, fluid flow through a circular pipe is one dimensional, and the velocity profile for laminar flow is given by u(r) = umax(1 − r2/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and umax is the maximum flow velocity, which occurs at the center. Obtain (a) a relation for the drag force applied by the fluid on a section of the pipe of length L and (b) the value of the drag force for water flow at 20°C with R = 0.08 m, L = 30 m, umax = 3 m/s, and ? =0.0010kg/m⋅s.