A velocity profile through a square duct of size A can be described as a) b)...
A velocity profile through a square duct of size A can be described as a) b) c) Find the expression for the average velocity Find the Reynolds number Is this a laminar flow? Explain?
1. The velocity in the rectangular duct shown below has a parabolic velocity profile. The centerline velocity is 50 m/s, and the velocity at the wall is 0 m/s. Find the average velocity in the duct. The general equation for a parabola is (V-V, )-a (y-%)2 where (V,Hz) is the location of the vertex wel m h 0.1 m 1. The velocity in the rectangular duct shown below has a parabolic velocity profile. The centerline velocity is 50 m/s, and...
the mass flow rate, m, flow through duct with a rectangular cross-section a*b. The fluid properties such as density, p, and kinematic viscosity, v, are given determine: (1) Hydraulic, Dh, (2)average velocity, V (3)Mass flux, G, (4) Reynolds number, Re
130 points] The one meter wide duct shown below has the linear velocity profile shown. A screen downstream causes the flow to have the uniform velocity profile downstream shown. Assume the density ρ is known. 1. a. [10 points] Assuming the linear velocity profile is V()-my+b, show that the velocity profile is r(y)-r_ (1-% ) assuming the velocity at the wall is zero and the velocity at the centerline is F-. b. [10 points] Show that the mass flowrate for...
Consider laminar flow of an incompressible fluid past a flat plate. The boundary layer velocity profile is given as u = U sin () a. Determine the boundary layer thicknesses 8, 8, as a function of x. Express in terms of Reynolds number. b. Using momentum integral theory, determine the wall shear stress tw, as a func. of x. Express in terms of Reynolds number. C. Determine the friction drag coefficient, Cof-
Air enters a 10-m-long section of a rectangular duct of cross section 15 cm X 20 cm made of commercial steel at an average velocity of 7 m/s.(p = 1.145kg/m3 ,μ = 1.895x10-5kg/ms) and e=0.000045 m). For this pipe determine (a)the Reynolds number and decide weather the flow is laminar or turbulent (b) the head loss, (c) the pressure drop, and (d) the pumping power requirement to overcome this pressure drop.
F2018-Hwr Ar ows through the galvanized steel duct so that the flow is the greatest possible to remain laminar. Density and kinomatic viscosity of ar are p, - 1 202 kg/ and 15.1(10 ) m2/s The crtical Reynolds number is 2300 Use the hydraulic diameter of the duct Dotermine the vokumenic air fow Express your answer to three significant Units ApValue Units lype here to search
Problem 2 Find the velocity profile for steady, fully-developed, laminar flow in a circular pipe. Integrate this velocity profile to find the mass flowrate through a pipe of length L for a given pressure drop Ap.
MDB2053/MEB2073 A square duct consists of air flowing through a 0.5 m opening as is shown in FIGURE 2 below. Due to the presence of boundary layer displacement thickness that increases in the direction of flow, the cross-sectional size of the duct is increased if a constant U = 0.8 m/s velocity is to maintained outside boundary layer U-08m du FIGURE 2 Determine the equation of the width of the cross section area of the duct, dix) with respect to...
2- (40 pts) Using Navier-Stokes equations, in class we developed the velocity profile between two stationary infinite parallel plates for a laminar, fully developed, steady flow. Here is the exact same flow: u(y) = 2 ( 0) (02 – hy) v= 0 a) Find the expression for average velocity for such flow. b) Use the average velocity you calculated in (a) to find the expression for volume flow rate per unit width into the page. c) If at x=105 m...