The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation Q R4 p 8 l Where R is the pipe radius, p the pressure drop along the pipe, a fluid property called viscosity (FL 2T ), and l the length of pipe, what are the dimensions of the constant 8 Would you classify this equation as a general homogeneous equation Explain

Question: The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation Q = R4 p /8

The volume rate of flow, Q, through a pipe containing a slowly moving liquid is given by the equation Q = πR4∆p/8µl. Where R is the pipe radius, ∆p the pressure drop along the pipe, µ a fluid property called viscosity (FL^-2T), and l the length of pipe, what are the dimensions of the constant π/8? Would you classify this equation as a general homogeneous equation? Explain.

Step by Step Solution

★★★★★

3.50 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

L 3 T 1 8 L 4 FL 2 FL 2 T L L 3 T 1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

4-P-M-F-M (325).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

What is the volume rate of flow of water from a 1.85-cm-diameter faucet if the pressure head is 15.0m?

The pressure in a traveling sound wave is given by the equation p = (1.50 Pa) sin [(0.900 m-1) x - (315 s-1)t]. Find the (a) Pressure amplitude, (b) Frequency, (c) Wavelength, and (d) Speed of the...

A second firm's production function is given by the equation Q = 12L.5K.5. Input prices are $36 per labor unit and $16 per capital unit, and P = $10. a. In the short run, the firm has a fixed amount...

HOMEWORx - 1 1) What is the primary reason for nondimensionaliaing an equation? 2) List the three primary purposes of dimensional analysis? 3) The pressure difference P, across apartial blockage in...

The volumetric flowrate, Q, through a pipe containing a slowly moving liquid is given by the equation: Q- (R'AP)/8uL where R is the pipe radius, AP is the pressure drop across the pipe, u is the...

may you answer my question in a good hand writting thank u Question 2 (Marks 20) The volumetric flowrate, Q, through a pipe containing a slowly moving liquid is given by the equation: Q=(TRAP)/8jL...

The volume rate of flow, , through a pipe containing a slowly moving liquid is given by the equation = 4 8 where is the pipe radius, is the pressure drop along the pipe, is a fluid property called...

Please answer those Q7. Show that Bernoulli's equation reduces to the hydrostatic variation of pressure with depth when there is no flow (v1 = v2 = 0). water stay w.0 AP - egh just apply A, ? = A 2...

solve, show all steps and solution. navier stokes equation problems... figures for problems 4,5, and 7. solve all 4 n SAE 10 oil at 20 degrees C flows between parallel plates 8 mm apart, as shown in...

ANSWER ALL QUESTIONS. 3-68 A 0.3-m3 rigid vessel initially contains saturated liquid-vapor mixture of water at 150C. The water is now heated until it reaches the critical state. Determine the mass of...

For the network of Fig. 7.105, determine: a. IDQ and VGSQ b. VDS c. VD. DO GS (Th) (on) = 4 mA GS

Betty is a sole trader and owns the business Cake Magic. Bettys business sells baking goods and equipment to wholesale and retail customers. Cake Magic also has a small manufacturing function that...

Suppose y = ( x 2 7 x ) ( 4 x 2 9 ) . Here ace two afferent ass to compute the derivitive of this function. Fist, expand the given product and then compute the oensative. y = y ' = b . Find, apply...

In June 2018, the Ghana National Gas Company (Ghana Gas) entered into an Engineering, Procurement, Construction and Commissioning (EPCC) Agreement for the construction of a 10km pipeline from GNGC...

Elves are a mixed bunchsome are inherently good (born on the North Pole) and some are evil (born on the South Pole). The archenemy of Santa Claus, Anti Claus, lives in the South Pole and trains a...

Invested cash in business $10,000 Borrow $5000 money from bank. Purchase desk and chair for hairdresser shop for $300 from office work . Provide Party makeup for $130 to customers Paid rent $600 for...

You have an opportunity to buy the Newton Falls Paper mill for $15 million. Currently the mill sells standard paper reams and revenues total $5 million per year with fixed costs of $2 million and...

Assume standard atmospheric conditions The International Civil Aviation Organization (ICAO); (an ICAO atmosphere). 1). What is the maximum lift possible that can be produced by this aircraft at 300...

19. LO.1 Complete the following chart, indicating the comparative attributes of the typical simple trust and complex trust by answering yeso or explaining the differences between the entities where...

A spherical tank holds CO 2 at a pressure of 12 atmospheres and a temperature of 30C. During a fire, the temperature is increased by a factor of 3 to 90C. Does the pressure also increase by a factor...

An engineer living at a an elevation of 2500 ft is conducting experiments to verify predictions of glider performance. To process data, density of ambient air is needed. Th e engineer measures...

Apply critical thinking to an engineering-relevant issue that is important to you. Create a written document that lists the issue, your reasoning, and your conclusion.

First Simple Bank pays 8.5 percent simple interest on its investment accounts. If First Complex Bank pays interest on its accounts compounded annually, what rate should the bank set if it wants to...

A friendly merger is a\ A. merger in which the target firm's management acts to deter rather than facilitate the acquisition\ B. merger transaction that is endorsed by the target firm's management,...

Blossom Infotech is a fast-growing communications company. The company did not pay a dividend last year and is not expected to do so for the next two years. Last year the company's growth...