An incompressible fluid flows past an impermeable flat plate with a uniform inlet profile (Uo ) and a cubic polynomial exit profile: 3n-n u= Uol where η- y/δ Compute the volumetric flow rate (Q= ? cm3/s) across the top surface of the control volume. Consider the width of the solid plate (into paper) to be b=10 cm. 8 = 3 cm Uo= 5 cm/s Uo y = 8 Cubic Solid plate, width b into paper
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- Fluid Mechanics Question An incompressible fluid flows in the converged nozzle provided in the figure. nozzle area -> A=Ao*(1-b*x) entry speed -> V=Vo*(0.5+0.5*cos(w*t)) Vo:20m/s Ao=1.5 m2 L=13m b=0.2/22 W=0.16rad/s Find the acceleration in the nozzle center as a function of time * (to multiplication) / (to divide)338 B/s O 1: 56% E 3:01 Question: Gasoline is flowing through this 180° pipe bend. The pipe cross-sectional area is 18 in?. Take the pipe weight as 5 Kg. Flow rate is 0.5 liters/s. Pressure at section-1 6 psia, pressure at section-2 is 4 psia. Calculate the anchoring force required to hold this pipe and also show its direction, referenced to proper 2-dimensional a cartesian coordinate system. (2 1Water flows from Reservoir A to Reservoir B. The pipe diameter D is 1 m, and the pipe length L is 300 m. H= 16 m, h = 2 m, and the pipe head loss is given by h₁ = 0.01), where U is the velocity in the pipe. In your solutions consider the head loss at the pipe outlet to be ( U² 2g (a) what is the discharge in the pipe? (b) What is the pressure at point P halfway between the two reservoirs? (c) sketch the HGL and EGL. Water D H P B
- The velocity distribution in a 0.02 m diameter horizontal pipe conveying carbon tetrachloride (specific gravity = 1.59, absolute viscosity = 9.6 x 10-6 Pa sec) is given by the parabolic equation: v(r)=0.01(0.12- r?), where v(r) is the velocity in (m/s) at a distance r in (m) from the pipe center. What is discharge? O a. 3.13 x-8 m3/s O b. None of the mentioned O c. 1.047 x 108 m3/sec O d. 4.97 x 109 m3/secAt a point in a pipe that lay flat ノ water in the pipe flows at a speed of 9.0 mls and has 6-40x 104 Pa a gaoge pressure is Find the gauge pressure at point 2 of pipe that lower than the first point 8.0 m and the cvoss - se ctional| area of the pipe is double of first point . Answer [1.52x105 Pa]An incompressible fluid (kinematic viscosity, 7.4 x10-7 m²/s, specific gravity, 0.88) is held between two parallel plates. If the top plate is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is rt of this book may be repro
- Consider a two-dimensional (planar), steady and incompressible flow in the en- trance region of a duct leading to the fully developed region, as shown. Velocity profile at the entrance is U, which is uniform. At length L the flow becomes fully developed. Fluid viscosity is μ and its density of p. Pressure is uniform in the vertical (y) direction. Consider unity width normal to the page. Vo h L เง I x u Find the fully-developed velocity profile u(y) at x ≥ L. Using continuity equa- tion, express the velocity profile in terms of Uo, y and h only. Find the pressure gradient dp/dr and wall shear stress in the fully developed region (x > L) in terms of μ, U₁ and h. Calculate the total friction force acting on the walls in the entrance region (0 < xA capillary tube has an 8mm inside diameter through which liquid fluorine refrigerant R-11 flows at a rate of 0.03 cm3/s. The tube isto be used as a throttling device in an air conditioning unit. A model of this flow is constructed by using a pipe of 3cm inside diameter and water as the fluid medium. (Density of R-11 = 1.494 g/cm3 and its viscosity is 4.2 x10-4 Pa.s; Density of water is 1g/cm3 and its viscosity 8.9 x10-4 Pa.s)a) What is the required velocity in the model for dynamic similarity? Hint: For flow through a tube the Ne number can be expressed in terms of the Reynolds numberb) When dynamic similarity is achieved the pressure drop is measured at 50 Pa. What is the corresponding pressure drop in the capillary tube?Hint: In this case the Euler number defines dynamic similarity with reference to the static pressure dropHello sir Muttalibi is a step solution in detailing mathematics the same as an existing step solution EXAMPLE 6-1 Momentum-Flux Correction Factor for Laminar Pipe Flow CV Vavg Consider laminar flow through a very long straight section of round pipe. It is shown in Chap. 8 that the velocity profile through a cross-sectional area of the pipe is parabolic (Fig. 6-15), with the axial velocity component given by r4 V R V = 2V 1 avg R2 (1) where R is the radius of the inner wall of the pipe and Vavg is the average velocity. Calculate the momentum-flux correction factor through a cross sec- tion of the pipe for the case in which the pipe flow represents an outlet of the control volume, as sketched in Fig. 6-15. Assumptions 1 The flow is incompressible and steady. 2 The control volume slices through the pipe normal to the pipe axis, as sketched in Fig. 6-15. Analysis We substitute the given velocity profile for V in Eq. 6-24 and inte- grate, noting that dA, = 2ar dr, FIGURE 6–15 %3D Velocity…A potential steady and incompressible air flow on x-y plane has velocity in y-direction v= - 6 xy . Determine the velocity in x-direction u=? and Stream Function SF=? ( x2 : square of x ; x3: third power of x ; y2: square of y , y3: third power of y)ANSWER: u= 3 x2 - 3 y2 SF= 3 x2 y - y3Velocity components in the flow of an ideal fluid in a horizontal plane; Given as u = 16 y - 12 x , v = 12 y - 9 x a) Is the current continuous?(YES OR NO) b) Can the potential function be defined?(YES OR NO) c) Find the unit width flow passing between the origin and the point A(2,4). (y(0,0)=0) d) Calculate the pressure difference between the origin and the point B(3;3).Reservoir and parallel disks flow system. The solution should be carried out using cylindrical coordinates. Water escapes out of the gap "h" around the whole circumference 1)At what volume flow rate Q(r0, r2, g, H,h) should the tank at (0) be refilled to maintain constant water level? and what does the resulting expression reduce to if 2h<SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. 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