* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download If oil of specific gravity 0.9 and dynamic viscosity 9.6
Survey
Document related concepts
Ballistic coefficient wikipedia , lookup
Coandă effect wikipedia , lookup
Bernoulli's principle wikipedia , lookup
Accretion disk wikipedia , lookup
Drag (physics) wikipedia , lookup
Boundary layer wikipedia , lookup
Computational fluid dynamics wikipedia , lookup
Flow measurement wikipedia , lookup
Aerodynamics wikipedia , lookup
Compressible flow wikipedia , lookup
Derivation of the Navier–Stokes equations wikipedia , lookup
Navier–Stokes equations wikipedia , lookup
Stokes wave wikipedia , lookup
Airy wave theory wikipedia , lookup
Fluid dynamics wikipedia , lookup
Transcript
The Islamic University of Gaza Civil Engineering Department Fluid Mechanics-Discussion Autumn Semester (2011-2012) Instructors: Dr. Younes Mogheir Dr. Mazen AbuAltayef T.A. Eng: Mohammed Abu Al-hatal Eng: Amal Qarroot Name: ……………………………………..……..…………… ID: …………………………..…….. Homework Chapter (4) 1) Water flow through a pipe 25mm in diameter at velocity of 6 m/s , determine whether the flow will laminar or turbulent assuming that the dynamic viscosity of water is 1.3 * 10−3 Kg./m.s and its density 1000 Kg/𝑚3 . If oil of specific gravity 0.9 and dynamic viscosity 9.6*10−2 Kg./m.s is pumped through the same pipe , what type of flow will occur ? 2) The velocity distribution in a circular pipe of radius R is given by 𝑟2 V= 𝑉𝑚𝑎𝑥 ( 1- 2 ) , where V is the velocity at radius r , and 𝑉𝑚𝑎𝑥 is 𝑅 the velocity at the center , calculate the mean velocity? 3) If 70 liters of fuel oil are discharged from a tank 50 sec., find the rate of discharge in 𝑚3 /s, if the discharge place through a pipe 50mm in diameter find the mean velocity of the oil in the pipe ? 4) If the mean velocity in a 30cm diameter id 0.5 m/s , what will be the velocity in the jet 8cm diameter issuing from the nozzle attached to the pipe ? 5) Two pipes provide a city with required volume of water which is equal to 15000 𝑚3 daily , what is the minimum required diameter to keep the velocity below 5m/s, what will be the diameter if one pipe is used, compare the two diameter ? 6) An air duct is of rectangular cross- section 300mm wide by 450mm deep, determine the mean velocity in the duct when the rate of flow is 0.42 𝑚3 /s , if the duct tapers to across- section 150mm wide by 400mm deep, what will be the mean velocity in the reduce section assuming that the density remains unchanged ? 7) During test on a circular duct 2m diameter it was found that the fluid velocity was zero at the duct surface and 6m/s on the axis of the duct when the flow rate was 9 𝑚3 /𝑠. Assuming the velocity distribution to be given by U=𝑐1 -𝑐2 𝑟 𝑛 , where u is the fluid velocity at any radius, determine the values of the constant 𝑐1 , 𝑐2 and n, specifying the units of 𝑐1 𝑎𝑛𝑑 𝑐2 . Evaluate the mean velocity and determine the radial position the mean velocity ? 8) Oil flows between parallel flat plates, which are distance t = 12mm apart. The velocity of the oil has a maximum value of 0.5 m/s on a plane midway between the plates and any distance y from this plane the velocity is U = C(0.25 𝑡 2 - 𝑦 2 ). Calculate the volume rate of flow per unit width measured perpendicular to the direction of flow and also the mean velocity. At what distance from the surface of the plates would the velocity be equal to the mean velocity ? with best wishes ……..