An incompressible fluid of density and viscosity
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
Fluid Mechanics: Fundamentals and Applications
- Air flows steadily into the square inlet of an air scoop with the non-uniform velocity profile as shown in the figure. Theair exits with a uniform velocitythrough a round pipe1-ft in diameter.Finda) the outlet/exit velocity and b) momentum flux (in vector form) at the pipe outlet. Assume air to be incompressible for this flow.γair= 0.0765 lbf/ft3.arrow_forwardThe P-35 experiences a certain dynamic pressure at its cruising speed of 114.2 m/s at an altitude of 4 km. Now assume the P-35 is flying at sea level. At what velocity must it fly at sea level to experience the same dynamic pressure?arrow_forwardConsider a steady, two-dimensional, incompressible fl owof a newtonian fl uid in which the velocity fi eld isknown: u = - 2 xy , υ = y 2 - x 2 , w = 0. ( a ) Does thisfl ow satisfy conservation of mass? ( b ) Find the pressurefi eld, p ( x , y ) if the pressure at the point ( x = 0, y = 0) isequal to p a .arrow_forward
- Liquid drains from a small hole in a tank, as shown inFig. P4.60, such that the velocity fi eld set up is given byυ r ≈ 0, υ z ≈ 0, υ θ ≈ KR 2 / r , where z = H is the depth of thewater far from the hole. Is this fl ow pattern rotational orirrotational? Find the depth z C of the water at the radiusr = R .arrow_forwardFind the resultant force in the y-direction Fr,y for a volumetric flow rate in the y direction of 100 L/hr, a pressure of 150 kPa, and a diameter of 3 cm. Use the equation Fr, y = -m1y1 - P1A1arrow_forwardthe open tank in the figure contains water and is being filled through section 1. Assume incompressible flow. If the water level h is constant, determine the exit velocity V2 for the given data V1 = 3 m/s and Q3 = 0.01 m3/s.arrow_forward
- A fluid flowing in a pipe 30cm in diameter has a uniform velocity of 4m/s. The pressure at the center of the pipe is 40kpa, and the elevation of the pipe's centerline above an asumed is 4.5m. Compute the total energy per unit weight of the flowing fluid if it is (a) oil,sg=0.80 and (b) gas gamma=8.50n/m^3arrow_forwardThe pressure in a section of horizontal pipe with a diameter of 2 cm is 152 kPa. Water flows through the pipe at 2.80 L/ s. If the pressure at a certain point is to be reduced to 109 kPa by constricting a section of the pipe, what should the diameter of the constricted section be? Assume laminar nonviscous flow. Express your answer in meters to four decimal places. Us the continuity equation and water flow rate to find the speed of the fluid in one region.arrow_forwardQ1:- (a) Show that stream function exists as a consequence ofequation of continuity.(b) Show that potential function exists as a consequence ofirrotational flowarrow_forward
- Derive an expression for the capillary- height change h, as shown, for a fluid of surface tension Y and contact angle 0 be- tween two parallel plates W apart. Evaluate for water at 20°C if W = 0.5 mm.arrow_forwardShow that the axisymmetric potential flow formed by the superpositionof a point source +m at (x, y) = (-a, 0), a pointsink -m at (+a, 0), and a stream U∞ in the x-direction formsa Rankine body of revolution as in Fig. P8.95. Find analyticexpressions for determining the length 2L and maximumdiameter 2R of the body in terms of m, U∞, and a.arrow_forwardThe belt in the Ögure moves at steady velocity V and skims the top of a tank of oil having viscosity. (a) Develop and expression for the required belt drive power in terms of h, L, b, V , and . Recalthat, for steady motion, power is equal to force velocity.(b) What power is required if the belt moves at 5 m/s over SAE 50W oil ( = 0:86 kg/ms) withh = 2 cm, L = 2 m, and b = 0:5 marrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY