An incompressible viscous fluid flows through a pipe with a flow rate of 1 mL/s. The pipe has a uniform diameter D0 and a length L0. A pressure difference of P0 between the ends of the pipe is required to maintain the flow rate. What would be the flow rate if the pressure difference was increased to 2P0 and the diameter was increased to 2D0

Answers

Answer 1

Answer:

[tex]Q_2 = 32[/tex] mL/s

Explanation:

Given :

The flow is incompressible viscous flow.

The initial flow rate, [tex]Q_1[/tex] = 1 mL/s

Initial diameter, [tex]D_1= D_0[/tex]

Initial length, [tex]L_1=L_0[/tex]

The initial pressure difference to maintain the flow, [tex]P_1=P_0[/tex]

We know for a viscous flow,

[tex]$\Delta P = \frac{32 \mu V L}{D^2}$[/tex]

[tex]$\Delta P = \frac{32 \mu Q L}{\frac{\pi}{4}D^4}$[/tex]

[tex]$Q \propto \Delta P \times D^4$[/tex]

[tex]$\frac{Q_1}{Q_2}= \frac{P_1}{P_2} \times \left( \frac{D_1}{D_2} \right)^4$[/tex]

[tex]$\frac{1}{Q_2}= \frac{P_0}{2P_0} \times \left( \frac{D_0}{2D_0} \right)^4$[/tex]

[tex]$\frac{1}{Q_2}= \frac{1}{2} \times \left( \frac{1}{2} \right)^4$[/tex]

[tex]$\frac{1}{Q_2}= \frac{1}{32}$[/tex]

∴ [tex]Q_2 = 32[/tex] mL/s

Answer 2

The flow rate if the pressure difference was increased to 2P0 and the diameter was increased to 2D0 is; Q2 = 32 mL/s

We are given;

Initial flow rate; Q1 = 1 mL/s

Initial uniform diameter; D0

Initial Length; L0

Initial Pressure difference; P0

Relationship between pressure, flow rate and diameter for vicious flow is given by;

Q1/Q2 = (P1/P2) × (D1/D2)⁴

Where;

Q1 is initial flow rate

Q2 is final flow rate

P1 is initial pressure difference

P2 is final pressure difference

D1 is initial diameter

D2 is final diameter

We are told that the pressure difference was increased to 2P0 and the diameter was increased to 2D0. Thus;

P2 = 2P0

D2 = 2D0

Thus;

1/Q2 = (P0/2P0) × (D0/2D0)⁴

>> 1/Q2 = ½ × (½)⁴

1/Q2 = 1/32

Q2 = 32 mL/s

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Related Questions

answer this qustion plz

Answers

Answer:

click here and I'm so happy I have been doing this weekend I can see the same way you could come back in a bit and then we are all of you to know you do for a bit of time with me or

Maggie discovered that a pipe in her basement has sprung a leak. She calls a plumber but in the meantime she grabs a roll of duct tape and wraps it around the pipe to stop the water from leaking. The duct tape in this situation is similar to _____ in that it/they _____.

Answers

Answer:

The answer is "Option a".

Explanation:

Myelination was the myelinization mechanism of a neuron axon. The endothelium is enveloped all around the axon and isolates the axon that inhibits the neuronal message from leaking with the other neuronal axons. Inside this example, therefore, its tubes tape worked similarly to those of myelin sheath, which stops brain transmission.

The Myelination was the myelinization mechanism of the neuron axon. Thus the option A is correct.

What is a Myelination?

It is the process by which the brain's oligodendrocytes make layers of myelin and is wound around the neural axons and is seen as a layer of insulation for the transmission electrical potential down to the neuronal axon.

Find out more information about the sentence.

brainly.com/question/5636726

A security engineer deploys a certificate from a commercial CA to the RADIUS server for use with the EAP-TLS wireless network. Authentication is failing, so the engineer examines the certificate's properties:
Issuer: (A commercial CA)
Valid from: (yesterday’s date)
Valid to: (one year from yesterday’s date)
Subject: CN=smithco.com
Public key: RSA (2040 bits)
Enhanced key usage: Client authentication (1.3.6.1.5.7.3.2)
Key usage: Digital signature, key encipherment (a0)
Which of the following is the MOST likely cause of the failure?
A. The certificate is missing the proper OID.
B. The certificate is missing wireless authentication in key usage.
C. The certificate is self-signed.
D. The certificate has expired.

Answers

Answer:

The MOST likely cause of the failure is:

A. The certificate is missing the proper OID.

Explanation:

OID (Object Identifier) is a globally unique group of characters, alphanumeric or numeric identifier, registered under the ISO registration standard to reference a specific object or object class (an entity).  In computing, OID allows a server or end-user to retrieve an object without identifying the specific physical data location.  Since OID is system-generated, it is immutable and can only be assigned to one object.  It cannot be shared.  Its presence in the certificate would have enabled the security engineer to authenticate the certificate.

The input sin(20) is sampled at 20 ms intervals by using impulse train sampling: i. Construct the input and sampled signal spectra.

Answers

Solution :

Let [tex]$x(t) = \frac{\sin (20 \pi t)}{\pi t}$[/tex]

[tex]$T_s = 20$[/tex] ms, so [tex]$f_s=\frac{1}{T_s}[/tex]

                           [tex]$=\frac{1}{20}$[/tex]

                           = 0.05 kHz

[tex]$f_s=50 $[/tex] Hz , ws = [tex]$2 \pi f_s = 100 \pi$[/tex]  rad/s

We know that,

FT → [tex]$\frac{\sin (20 \pi \omega)}{\pi \omega}$[/tex]

The sampled signal is :

[tex]$XS(\omega) = \frac{1}{T_s} \sum_{k=- \infty}^{\infty}X (\omega-k\omega S)[/tex]

So, [tex]$XS(\omega) = \frac{1}{20 \times 10^{-3}} \sum_{k=- \infty}^{\infty}X (\omega-100 k \pi)[/tex]

     [tex]$XS(\omega) = 50 \sum_{k=- \infty}^{\infty}X (\omega-100 k \pi)[/tex]

 

State the factor that influence the frequency of the induced emf of an alternating quantity

Answers

Explanation:

conductor, flux, and movement of conductor in magnetic field are some of the factors that induce emf.

P9.28 A large vacuum tank, held at 60 kPa absolute, sucks sea- level standard air through a converging nozzle whose throat diameter is 3 cm. Estimate (a) the mass flow rate through the nozzle and (b) the Mach number at the throat.

Answers

Answer:

a)  [tex]m=0.17kg/s[/tex]

b)  [tex]Ma=0.89[/tex]

Explanation:

From the question we are told that:

Pressure [tex]P=60kPa[/tex]

Diameter [tex]d=3cm[/tex]

Generally at sea level

[tex]T_0=288k\\\\\rho_0=1.225kg/m^3\\\\P_0=101350Pa\\\\r=1.4[/tex]

Generally the Power series equation for Mach number is mathematically given by

[tex]\frac{p_0}{p}=(1+\frac{r-1}{2}Ma^2)^{\frac{r}{r-1}}[/tex]

[tex]\frac{101350}{60*10^3}=(1+\frac{1.4-1}{2}Ma^2)^{\frac{1.4}{1.4-1}}[/tex]

[tex]Ma=0.89[/tex]

Therefore

Mass flow rate

[tex]\frac{\rho_0}{\rho}=(1+\frac{1.4-1}{2}(0.89)^2)^{\frac{1.4}{1.4-1}}[/tex]

[tex]\frac{1.225}{\rho}=(1+\frac{1.4-1}{2}(0.89)^2)^{\frac{1.4}{1.4-1}}[/tex]

[tex]\rho=0.848kg/m^3[/tex]

Generally the equation for Velocity at throat is mathematically given by

[tex]V=Ma(r*T_0\sqrt{T_e}[/tex])

Where

[tex]T_e=\frac{P_e}{R\rho}\\\\T_e=\frac{60*10^6}{288*0.842\rho}[/tex]

[tex]T_e=248[/tex]

Therefore

[tex]V=0.89(1.4*288\sqrt{248})\\\\V=284[/tex]

Generally the equation for Mass flow rate is mathematically given by

[tex]m=\rho*A*V[/tex]

[tex]m=0.84*\frac{\pi}{4}*3*10^{-2}*284[/tex]

[tex]m=0.17kg/s[/tex]

Write the code using the do-while loop to force the user to enter a number in the range [20,50]

Answers

Answer:

Mark as brainlist pls hello

If a corporation is socially responsible, it will develop and implement a sustainability plan and communicate it to stakeholders.

True
False

Answers

Answer:

True

Explanation:

All big companies are pretty much required in today's day and ages to complete these reports whether they truly believe it.

Question 1: Determine the maximum load P the steel bracket can withstand if the steel bracket has a circular cross section with a diameter of 1.2 in, and has an allowable normal stress of allow

Answers

Complete Question

Complete Question is attached below

Answer:

[tex]P=1124.2ibf[/tex]

Explanation:

From the question we are told that:

Diameter [tex]d=1.2in[/tex]

Allowable Normal stress [tex]\sigma=27.5ksi=27.5 * 10^3 psi[/tex]

Generally the equation for Bending Stress is mathematically given by

[tex]\phi= \frac{32M}{ \pi d^3}[/tex]

[tex]\phi= {32 * 4 P}{\pi * 1.2^3}[/tex]

[tex]\phi=23.58 psi[/tex]

Generally the equation for Direct Normal Stress is mathematically given by

[tex]\sigma'=\frac{4P}{ \phi * 1.2^2}[/tex]  

[tex]\sigma'= 0.88P psi[/tex]

Therefore

Total Normal stress

[tex]\sigma_T=23.58 + 0.88[/tex]

[tex]\sigma_T=24.46P[/tex]

Generally the equation for Allowable Stress is mathematically given by

[tex]\sigma=\sigma_T P[/tex]

[tex]P=\frac{\sigma}{\sigma_T}[/tex]

[tex]P=\frac{27.5 * 10^3}{24.46P}[/tex]

[tex]P=1124.2ibf[/tex]

Calculate the pressure of dry O2 if the total pressure of O2 generated over water is measured to be 698 Torr and the temperature is 30.1 oC. P(H2O) = 19.8 torr.
If the volume of the O2 sample in the question above was 56.3 ml, what volume would the dry O2 occupy at 755 torr (assume the temp was unchanged).

Answers

Answer:

[tex]V_2=46mL[/tex]

Explanation:

From the question we are told that:

Pressure over Water [tex]P=698 Torr[/tex]

Temperature   [tex]T= 30.1 \textdegree C[/tex]

Pressure of Water   [tex]P(H2O) = 19.8 torr.[/tex]

Volume of O2  [tex]O_2=56.3[/tex]

Pressure of Dry O2  [tex]P_(0)=755torr[/tex]

Generally the equation for Total Pressure is mathematically given by

[tex]P_t = P_O + P_H[/tex]

Therefore

[tex]P_O=P_t-P_H[/tex]

[tex]P_O=638-19.8[/tex]

[tex]P_O=618.2torr[/tex]

Generally the equation for Ideal gas is mathematically given by

[tex]P_1*V_1 = P_2*V_2[/tex]

[tex]V_2=\frac{P_1*V_1}{P_2}[/tex]

Therefore

[tex]V_2=\frac{ 618.2*56.3}{755}[/tex]

[tex]V_2=46mL[/tex]

Hence,The  volume would the dry O2 occupy at 755 torr

[tex]V_2=46mL[/tex]

A 40kg steel casting (Cp=0.5kJkg-1K-1) at a temperature of 4500C is quenched in 150kg of oil (Cp=2.5kJkg-1K-1) at 250C. If there are no heat losses, what is the change in entropy of?
(i) The casing.
(ii) The oil.
(iii) Both considered.

Answers

Of the oil I hope this help

A recessed luminaire bears no marking indicating that it is ""Identified for Through- Wiring."" Is it permitted to run branch-circuit conductors other than the conductors that supply the luminaire through the integral junction box on the luminaire?

Answers

Answer:

No it is not permitted

Explanation:

It is not permitted  because as per NEC 410.21 policy no other conductor is allowed to be passed through integral junction box luminaries unless such conductor supply recessed luminaries.

The marking will show that the Luminaries is of the right construction or right installation to ensure that the the conductors ( in the outer boxes ) will not be exposed to temperatures greater than the conductor rating, hence the lack of marking makes it not to be permitted.

______ is not a type of digital signaling technique

Answers

Answer:

Data Rate Signaling

Troy must keep track of the amount of refrigerant he uses from a 50-pound cylinder to ensure that accurate
records are kept. He used 13 pounds on a systein for Ms. Jones and 9 pounds on a system for a commercial
client. How many pounds should he have left in the cylinder?
tof
Troy should have
pounds of refrigerant left in the cylinder.
baon naid Thamar basic
محمود احمد مجد
12
اهداء ما در

Answers

Answer:

Amount of gas still in cylinder = 28 pound

Explanation:

Given:

Amount of gas in cylinder = 50 pound

Amount of gas used in Ms. Jones system = 13 pound

Amount of gas used in client system = 9 pound

Find:

Amount of gas still in cylinder

Computation:

Amount of gas still in cylinder = Amount of gas in cylinder - Amount of gas used in Ms. Jones system - Amount of gas used in client system

Amount of gas still in cylinder = 50 - 13 - 9

Amount of gas still in cylinder = 28 pound

A 2-stage dcv that has an internal pilot does not work well (if at all) on

Answers

Answer:

i really font onow why tbh eot you

Consider CO at 500 K and 1000 kPa at an initial state that expands to a final pressure of 200 kPa in an isentropic manner. Report the final temperature in units of K and using three significant digits.

Answers

Answer:

[tex]T_2=315.69k[/tex]

Explanation:

Initial Temperature [tex]T_1=500K[/tex]

Initial Pressure [tex]P_1=1000kPa[/tex]

Final Pressure [tex]P_2=200kPa[/tex]

Generally the gas equation is mathematically given by

[tex]\frac{T_2}{T_1}=\frac{P_2}{P_1}^{\frac{n-1}{n}}[/tex]

Where

n for [tex]CO=1.4[/tex]

Therefore

[tex]\frac{T_2}{500}=\frac{200}{1000}^{\frac{1.4-1}{1.4}}[/tex]

[tex]T_2=315.69k[/tex]

A steam turbine receives steam at 1.5MPa and 220oC, and exhausts at 50kPa, 0.75 dry. Neglecting heat losses and changes in kinetic and potential energy, estimate the work output per kg steam.
If when allowance is made for friction, radiation and leakages losses, the actual work of that estimated in (a), calculate the power output of the turbine when consuming 600kg of steam per minute.

Answers

Answer:

Can you make friend with me ?

A 40-mm-diameter solid steel shaft, used as a torque transmitter, is replaced with a hollow shaft having a 40-mm outer diameter and a 36-mm inner diameter. If both materials have the same strength, what is the percentage reduction in torque transmission

Answers

Answer:

65.61%

Explanation:

we have the following information to answer this question

diameter of the solid steel shaft = 40 mm

outer diametr of the hollow shaft = 40mm

inner diametr pf the hollow shaft = 36mm

[tex]percentage reduction in torque transmission = \frac{Tsolid-Thollow}{Tsolid} *100[/tex]

= (40³ - (40⁴-36⁴)/40)/40³ * 100

= (40³ - 22009.6)/40³ * 100

= 41990.4/64000 * 100

= 0.6561 x 100

= 65.61%

percentage reduction in torque transmission = 65.61%

can you guys please introduce yourself​

Answers

Answer: why?

Explanation:

hi i’m kira and i need points so i can pass this class. i hope you’re having a good day

what is the term RF exiciter?

Answers

The exciter provides fully coherent receiver local oscillator signals at radar frequency band as well as requisite, auxiliary high frequency clock signals. The exciter function is divided into an internal frequency synthesizer and an upconverter.

Hope this helps :)))

an atom that gained an electron is called​

Answers

Answer:

Hey mate......

Explanation:

This is ur answer.....

When an atom gains/loses an electron, the atom becomes charged, and is called an ion.

Hope it helps!

Brainliest pls!

Follow me :)

An atom that gained an electron is called an ION.

17- The cathodic polarization is ..... *
O
a- activation.
O
b- concentration
O c- both.

Answers

I think its c the both one

5-2 discussion: the role of communication in success

Answers

Answer:

Answer to the following question is as follows;

Explanation:

It is critical to communicate well during negotiations and conversation in order to attain your objectives. Communication also becomes essential in business and corporation . Effective communication may help you as well as your employees develop a strong professional relationship, which can boost morale and efficiency.

what is an OTG USB? how is it useful ​

Answers

Answer:

An OTG or On The Go adapter (sometimes called an OTG cable, or OTG connector) allows you to connect a full sized USB flash drive or USB A cable to your phone or tablet through the Micro USB or USB-C charging port

Explanation:

pls mark brainliest

determine if the fluid is satisfied​

Answers

is there a picture or something?

Hãy trình bày các bộ phận chính trong một bộ điều khiển điện tử (ECU) dùng trên ô tô. Cho biết công dụng của từng thành phần.

Answers

Answer:

sorry but I can't understand this Language.

Explanation:

unable to answer sorry

8- Concentration polarization occurs on the surface of the.......
a- cathode.
b- anode.
C- both
d-ption 4

Answers

Explanation:

Concentration overpotential, ηc,

I hope it helps you

The base of an aluminum block, which is fixed in place, measures 90 cm by 90 cm, and the height of the block is 60 cm. A force, applied to the upper face and parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is . What is the displacement of the upper face in the direction of the applied force

Answers

The question is incomplete. The complete question is :

The base of an aluminum block, which is fixed in place, measures 90 cm by 90 cm, and the height of the block is 60 cm. A force, applied to the upper face and parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is [tex]3.0 \times 10^{10} \ Pa[/tex] . What is the displacement of the upper face in the direction of the applied force?

Solution :

The relation between shear modulus, shear stress and strain,

[tex]$\text{Shear modulus, S =} \frac{\text{Shear stress}}{\text{shear strain}}$[/tex]

Shear stress = shear modulus (S) x shear strain

                     [tex]$=3 \times 10^{10} \times 0.0060$[/tex]

                     [tex]$=1.80 \times 10^8$[/tex] Pa

                     [tex]$=180 \times 10^6$[/tex] Pa

                     [tex]$=180 \ MPa$[/tex]

The length represents the distance between the fixed in place portion and where the force is being applied.

Therefore,

[tex]$\text{Displacement} = \text{shear strain} \times \text{length}$[/tex]

                     = 0.006 x 60 cm

                      = 0.360 cm

                      = 3.6 mm

Thus, the displacement of the upper face is 3.6 mm in the direction of the applied force.

2 Air enters the compressor of a cold air-standard Brayton cycle at 100 kPa, 300 K, with a mass flow rate of 6 kg/s. The compressor pressure ratio is 10, and the turbine inlet temperature is 1400 K. The turbine and compressor each have isentropic efficiencies of 80%. For k 5 1.4, calculate (a) the thermal efficiency of the cycle. (b) the back work ratio. (c) the net power developed, in kW. (d) the rates of exergy destruction in the compressor and turbine, respectively, each in kW, for T0 5 300 K.

Answers

You can see and download from the link

https://tlgur.com/d/GYYVL5lG

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the heat treatment process depends on 3 steps according to the time-temperature cycle. Name and Briefly describe each one​

Answers

Explanation:

there are three stages of heat treatment

1.hit the metal slowly to ensure that the metal maintains a uniform temperature

2.soak or hold the metal at a specific temperature for a alloted period of time

3.cool the metal to room temperature

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