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- WATER Flows THOvGH A SPHON As SHOWN BE ow, THE TUBE HAS A CONSTANT DIAMETER, D= kM Pa 2.5cm Q = lo w% WATER 8: lo00 kg/u3 THE HeIGHT OF THE HGHEST POINT IN THE TUBE is h, AN» THE PRESSURE INSIDE is PH CONSIDER INviscio, INCOMPRESsiole Flow. a caloulaTE THE Velocire y oF THE FlUID INSIDE THE TUBE. b) caloulaTE THE HeiGHT DIFFERENCE l To THE arlET of THE TUBE IF WATER EXTS AT ATMOSPHERIC PRESSURE c) calaolaTE PH As A FUNCTION OF h. d) WHAT is THE HAKİMUM HEİGHT BEFORE THE PRESSURE WoulD BE NEGATIVE PiK . e) WHAT WoulD HAPPEN FOR A HeiGHTrh LARGER THAN THE VAlUE DEERMINED N C)LTE I. 1 A:IY Doc Apr 10 2022 04.23.PDF 10 jo 10 Hw a solid a pe. a vertical axis with agulev Pi I a fluid rotatad velucity (), Theopressure vise (P) in a radial direction depends upon w, v, and f. obtain a form uf equationfor P. 92 the Pressare difference oP in a pipe of diameter Dand length (L) due to Viscous flow depend viscosity (h) and density (S) - obtaind évpression tOP? the Velocity U. on I The officengy of from depends Niscesity ) ,angular velocity (w). diameter of retor (D) and the dischargeO - Express the efficiency in terms of dimensionless. density ) . dywamic on Qus A fluid flow situaton depends the velocity (V), the on density several limear dimension , h,h2. pressure drep DE) » gravity (o), Viscosity As Susface tension (@). and bulk mo dulus of elasticity k. Apply dimen sional analysis. to these variables d AAAAIf the velocity varies linearty with distance through this fluid nozzie (vertical nozzle), where the specific gravity of the fluid is S-0.46, what will be the pressure gradient, halfway through the nozzle? Assume steady and inviscid flow 2 m/s 50 cm 6 mis Select one a. 38465.20 O b. -57697.80 O e. 19232.60 O d. 9616.30 e. 76930.40
- - An arrow is layinched at va so m/s and 10°. Fird the maximun. height, and the fime it takes to reach this height Answer: h 134.78 m, t=5.24 jec. %3D Provide compele soition witn derivarion ot fonnulas (integrals and denvatives). Complete unit / soution piease. Gravitational constant g=9-8PROBIEM 1 AssoHE A BONDARY LAYER FOR A Fluid OVER A F|AT PIATE CAN BE APPROKIMATED BY WHERE U= CONSTANT is THE FREE STREAM VelociTy AND S. S(x) is THE THICKNESS Of THE BON DARY LAYER. ) WHICH BOUNDARY CONDITIONS ARE SATISFIED AND WHICH ONES ARE NOT ? 2) calculATE S* AND g* 3) WRITE AN EXPRESSION FOR THEe wall STRESS, AS A PUNCTION OF U, S AND . WHERE Y is THE Visaosire OF THe Fluid. INDICATE THE DIRECTION OF THE STRESS. 4) OBTAIN AN EQJATION FOR S«) FROM THE MOMENTUM INTEGRAI EQUATION 5) OBTAIN S«)Compute the b Am? when the lower plate Steady skte momentum Flex Ey> momentum Ilex ty Velscity v in the Figure beloo is 0.804n/s s the pasitive X-directan, the Separation Y s o 304mm, md the fluid viscosity N is o7cP Naly) Longe t Final uelociny distribution in teady Flow
- 1. The deformation of the fluid will continue as long as the 2. When designing gates, vessels, dams or other bodies that are submerged in a liquid, it is important not only to estimate the - 3. The surface tension is the tensile force per -- in any direction along the surface the surface tension. 4. The value of - specifies whether the fluid can be assumed compressible or incompressible. 5. Archimedes' principle indicates- 6. A truck is filled with gasoline. If the container (tank) on the truck undergoes a - - is applied. - but also to specify its location on the body. then the liquid surface will begin to rotate clockwise about the center of the container and will eventually maintain a fixed tilted position.two points; (D) gauge 10. A Terran T-280 SCV (space construction vehicle) examines a typical vespene geyser field, which normally contains 20 circular openings, each of which has a radius of 0.10 m. The geyser mouths (according to a sonar probe) are connected to a main geyser “pipe" 0.80 m in radius. If the speed of the vespene gas is 3.0 m/s through the main pipe, what is its velocity as it exits through one of the geyser mouths? spaads TheThe laminar flow of a fluid with a constant viscosity, 4, inside a channel is governed by the following boundary value problem (strong form): d'u dp for y E (0, h) "dy dr u = 0 at y = 0 and y = h vhere u is the fluid velocity and is the pressure drop in the direction of the flow. a) Derive the weak form of the boundary value problem described above.
- For the following questions, Circle the correct answer Q1. We have a steady fully rough turbulent flow of water with constant density in a cylindrical pipe of constant diameter. The height of the uniform roughness elements in the pipe is k.. . . For a fully developed rough turbulent flow in the pipe, the condition ku. -> 70 is the same as k,> 66,. [True/False] V avg The wall shear stress T-pfU/8. It is applicable only for steady fully rough turbulent flow in the pipe. [True/False] The shear stress distribution is linear with the radial distance from the pipe centerline only for laminar flow. [True/False] The head loss per unit length is quadrupled when the discharge is doubled. [True/False] The piezometric pressure drops uniformly along the pipe because the flow is steady along the pipe [True/False]P Flag question An 18 kg slab slides down at 15 degrees inclined plane on a 3 mm thick film of oil viscosity of 8.14 VISCOSI x10^-2 Pa-s; the contact area is 0.3 m^2. Find the terminal velocity of the slab in m/s. O a. 5.62 Ob. 5.16 Oc. 5.75 Od. 5.48FLUID MECHANICS: HYDROSTATICSShow the complete solution.Any method maybe used for those problems which do not specify a methof Answer: 13.734 kPa