Q1: Air flows at 10 m/s past a smooth rectangular flat plate 0.3m wide and 3m long. Assuming that the turbulence level in the oncoming stream is low and that transition occurs at Re-5*10^5, calculate ratio of total drag when the flow is parallel to the length of the plate to the value when the flow is parallel to the width.
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- Air at 20°C flows at V = 80.0 m/s over a smooth flat plate of length L = 17.5 m. Plot the turbulent boundary layer profile in physical variables (u as a function of y) at x = L. Compare the profile generated by the one-seventh-power law, the log law, and Spalding’s law of the wall, assuming that the boundary layer is fully turbulent from the beginning of the plate.(a) Use the y-momentum equation to show that the pressure gradient across the boundary layer is approximately zero i.e. = 0 . Assume the boundary layer to be a two-dimensional ду steady and incompressible flow. Neglect gravitational forces. State clearly all assumptions made. Use the Bernoulli's equation to prove that the pressure difference is given by (b) P2-P1 = -4pU? for a fluid with constant density p flowing from point 1 to point 2 where pi, U1, A1 are the pressure, velocity and flow cross-section area at point 1 and p2, U2, A2 are the pressure, velocity and flow cross-section area at point 2 respectively. The ratio of the cross-section area A1 = 3.SR-71 Blackbird cruised at Mach 3.2 at 80,000 ft altitude. However, it was designed to leak a finite amount of fuel during takeoff because the surface temperature of the aircraft increases (which leads to expansion of the surfaces) due to aerodynamic heating during flight. Estimate the flow temperature around the aircraft during cruise condition. Assume specific heat ratio is 1.4.
- Calculate the maximum speed with which water at atmospheric pressure can flow past an obstacle without breaking into turbulent flow. Use Bernoulli’s principle and neglect viscous drag.A thin flat plate 20 cm by 90 cm is immersed in a 1m/s stream of water at 20 °c ( density=998, viscosity=0.001)the stream is parallel to the long side, compute the total friction drag considering both front and back sides of the plate4.5 Determine the additive drag for an inlet having an area A₁ of 7000 in? and a Mach number M₁ of 0.8 while flying at a Mach 0.4 at an altitude of 2000 ft. number Me of 4
- Consider the boundary layer flow = 1 - (1 − 2)¹5, 0Consider the boundary layer flow=1-(1-)1.5, 0For flow over a smooth plate, what approximately is the maximum length of the boundary layer if V_o = 9.0 m/s in the irrational uniform flow and the fluid is air? Water?A passenger train, Keretapi Tanah Melayu (KTM) moves from A, to B at constant speed of 60 m/s. The long of the train is 15 m. By assuming the outer wall of the train is flat, air density, = 1.164 kg/m3 and air kinematic viscosity, = 1.60 x 10-5 m2 /s, determine at the back edge of the train (L = 15 m), boundary layer thickness, in meter (m) displacement thickness, * in meter (m), and iii. wall shear stress in Pascal (Pa).1 .Water at 15 ºC flows past a 1.5 mm radius small sphere at 5 cm/s. What is most nearly the drag force in kgf of the sphere, if the sphere has a drag coefficient of 0.47Air flows over a stationary flat plate at speed of 4,6 m/s . Plate has a width of 1 m. Air has a density of 1.2 kg/m3 and kinematic viscosity of 1.5x 10-5 m 2/s . Consider plate is totally in air flow field and upper and lower surfaces are identical a) Calculate maximum length of the plate to have a fully laminar flow (in m) b) Calculate total frictional force on the plate considering two surfaces (in N) c) In order to eliminate the frictional force on its surfaces calculate the plate speed(in m/s)SEE MORE QUESTIONSRecommended textbooks for youElements 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 EducationControl 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:WILEYElements 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 EducationControl 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