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A horizontal flow initially at Mach I flows over a downward-sloping expansion corner, thus creating a centered Prandtl-Meyer expansion wave. The streamlines that enter the head of the expansion wave curve smoothly and continuously downward through the expansion fan, and emerge parallel to the downward sloping surface downstream of the tail of the wave, as shown in Figure 9.2b. Imagine a polar coordinate system
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- answer quicklyarrow_forwardQuestion 5. Consider a plane source of strength A = 121 m²/s at(-a, 0), and a plane sink of equal strength at (a, 0) where a = 1m, and superpose a uniform stream of V,= 45m/s with 22° angle of attack with respect to x axis. (a) Find the coordinate of the stagnation point(s). (b) Find the streamline passing through the stagnation points. (c) What is the geometric definition of the body generated by this superposition? Plot the body. (d) What is the maximum velocity and C, on this body? (e) Plot the streamlines for this flow.arrow_forwardCan you help me, thank you.arrow_forward
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- The converging-diverging flow domain is shown in Figure 1. The inlet diameter is 0.2 m, the throat diameter is 0.15 m, and the outlet diameter is 0.24 m. The axial distance from the inlet to the throat is 0.30 m—the same as the axial distance from the throat to the outlet. At the inlet section, the stagnation pressure P0 is set to 220 kPa (absolute), while the stagnation temperature T0, at the inlet is set to 300 K.arrow_forwardA point source with volume flow Q = 30 m3/s is immersedin a uniform stream of speed 4 m/s. A Rankine half-body ofrevolution results. Compute (a) the distance from the source to the stagnation point and (b) the two points (r, θ) on thebody surface where the local velocity equals 4.5 m/s.arrow_forwardA. A horizontal water jet hits a vertically mounted plate and an obliquely mounted plate as shown in Fig 2 (a) and (b), respectively. The jet is assumed to have the uniform velocity distribution of V and the density of the fluid is p. The volume flow rate is Q. The effect of viscosity is assumed to be negligible. Answer the (b) following questions. (1) In the case of (a), obtain the force exerted on the vertical plate F, using p, Q and V. (2) In the case of (b), the plate is mounted obliquely with the angle 0 to the x direction as shown in Fig 2(b). The jet is separated and the volume flow rates | at the outlet become Qa and Qg. Fig. 2 (a) Obtain the force in the x direction F and in the y direction Fexerted on the plate using p, Q, V and 0. (b) Obtain the volume flow rates Q, and Qz using Q and 6.arrow_forward
- Need Solution through 15minarrow_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_forwardA group of students is designing a small, round (axisymmetric), low-speed wind tunnel for their senior design project. Their design calls for the axial component of velocity to increase linearly in the contraction section from uz, 0 to uz, L. The air speed through the test section is to be uz, L = 120 ft/s. The length of the contraction is L = 3.0 ft, and the entrance and exit diameters of the contraction are D0 = 5.0 ft and DL = 1.5 ft, respectively. The air is at standard temperature and pressure. (a) Verify that the flow can be approximated as incompressible. (b) Generate an expression for the radial velocity component ur between z = 0 and z = L, staying in variable form. You may ignore frictional effects (boundary layers) on the walls. (c) Generate an expression for the stream function ? as a function of r and z. (d) Plot some streamlines and design the shape of the contraction, assuming that frictional effects along the walls of the wind tunnel contraction are negligible.arrow_forward
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