Concept explainers
Consider the flow over a semi-infinite body as discussed in Section 3.11. If
a. Draw the resulting semi-infinite body to scale on graph paper.
b. Plot the pressure coefficient distribution over the body; that is, plot
Trending nowThis is a popular solution!
Chapter 3 Solutions
FUND OF AERODYNAMICS(LLF) +CONNECT (1YR)
Additional Engineering Textbook Solutions
Machine Tool Practices (10th Edition)
Vector Mechanics for Engineers: Dynamics
Thermodynamics: An Engineering Approach
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
Engineering Mechanics: Statics & Dynamics (14th Edition)
Fundamentals of Heat and Mass Transfer
- 3. A circular cylinder of radius a is fitted with two pressure sensors to measure pressure at 0 = 180° and at 150°. The intent is to use this cylinder as a stream velocimeter, i.e. a device to determine the velocity of a stream by measuring the pressures at the two taps. The fluid is incompressible with a density of p. Figure for Part (a) U Figure for Part (b) 30 a) Using potential flow approximation, derive a formula for calculating U from the measured pressure difference at the two pressure taps. Note that for accurate measurement, the velocimeter must be aligned to have one of the taps exactly facing the stream as shown in the figure. (Ans: 2|Aptaps|/p ) b) Suppose the velocimeter has been misaligned by ổ degrees so that the two pressure taps are now at 180° + 8 and 150° + 8. Derive an expression for the percent error in stream velocity measurement. Then, calculate the error for 8 = 5°,10° and –10°. (Ans: [2/(sin2(150 + 8) – sin²(180 + 8) )– 1] × 100 )arrow_forwardQ6: Find the shear flow solution of incompressible fluid with flow : v1 = 0, v2 = 0 and V3 = v3(x) , no body force. 3.5 .........arrow_forward5.69 Consider a steady, laminar, fully developed incompressible flow between two infinite parallel plates separated by a distance 2h as shown below. The top plate moves with a velocity Vo. Derive an expression for the velocity profile. Determine the pressure gradient for which the flow rate is zero. Plot the profile for that condition. Vo y 2 harrow_forward
- Consider the flow field formed by combining a uniform flow in the positive x direction and a source located at the origin. Let U= 30 m/s and m = 150 m²/s. Plot the ratio of local velocity to the freestream velocity as a function of 0 along the stagnation streamline. Locate the points on the stagnation streamline where the velocity reaches its maximum value. Find the gage pressure there if the fluid density is 1.2 kg/m³.arrow_forwardThe flow past a two-dimensional Half-Rankine Body results from the superposition of a horizontal uniform flow of magnitude U= 3 m/s towards the right and a source of strength g = 10 m2/s located at the origin (0, 0). The fluid density is 1000 kg/m³. All dimensional quantities are given in SI units. Neglect the effects of gravity. The x-coordinate of the stagnation point is x = m. The total width of the body is 2. m. The magnitude of the pressure difference between the points (-1, 0) and (0, 2) is kPa. Enter the correct answer below. Please enter a number for this text box. 2 Please enter a number for this text box. Please enter a number for this text box.arrow_forward4. Show that v= 3xi+ (t- 6xy)j is a possible fluid velocity for two-dimensional unsteady flow of a homogeneous incompressible fluid. Hence, find the pressure p(x, y,t) at any point of the fluid using Euler's equation of motion given that the body force per unit mass is F = 6 yi+18x yj.arrow_forward
- Consider an airplane flying with a velocity of 60 m/s at a standard altitude of 3km. At a point on the wing, the airflow velocity is 70 m/s. Calculate the pressure at this point. Assume incompressible flow. detailed solution pls. Thank youarrow_forwardFind the location of the stagnation point for the flow due to a vortex +I at (2a, 0) and a vortex -25 at (-2a, 0).arrow_forward5.73 Assume the liquid film in Example 5.9 is horizontal (i.e., 0 = 0°) and that the flow is driven by a constant shear stress on the top surface (y= h), Tyx= C. Assume that the liquid film is thin enough and flat and that the flow is fully devel- oped with zero net flow rate (flow rate Q= 0). Determine the velocity profile u(y) and the pressure gradient dp/dx. h = 1 mm 0 = 15° Width b = 1 marrow_forward
- The velocity monitoring of a fluid is u = 48xy v = N. (48 + x2 + y2) Find the current function. Is there a vortex in the flow? Can the flow be compressed?arrow_forwardWhen a gravity-driven liquid jet issues from a slot in a tank, as in Fig., an approximation for the exit velocity distribution is u = 2g(h - z), where h is the depth of the jet centerline. Near the slot, the jet is horizontal, two-dimensional, and of thickness 2L, as shown. Find a +L general expression for the total volume flow Q issuing from the slot; then take the limit of your result if L << h. 2=-Larrow_forwardA jet of air having velocity V₁ and cross-sectional area A₁ strikes an inclined plate as shown in the figure. Neglect any effects of viscosity. V₁ (a) Find V₂ and V3 in terms of V₁. Note that the pressure is patm everywhere. (b) Because viscous effects are negligible, there is no way for the air to exert a force on the plate in the tangential (z) direction. Using the coordinate system in the figure, find A₂ and A3 in terms of A₁ and 0. (c) For V₁ = 50 m/s, A₁ = 5 x 10-4 m², and 0 = 60°, find the force required to hold the plate in place. Neglect the weight of the plate. Recall that pair = 1.225 kg/m³.arrow_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