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1. The velocity in the rectangular duct shown below has a parabolic velocity profile. The centerline velocity is 50 m/s...
130 points] The one meter wide duct shown below has the linear velocity profile shown. A...
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...
2) The viscous boundary layer velocity profile shown in following figure can be approximated by a...
2) The viscous boundary layer velocity profile shown in following figure can be approximated by a parabolic equation, the Inviscid flow Viscous boundary ayer The boundary condition is u-5 m/s (the free stream velocity) at the boundary edge o (where the viscous friction becomes zero). Find the values of a, b, and c.
Ball has initial velocity v m/s in x direction Cliff Ball strikes sea at point (s,0)...
Ball has initial velocity v m/s in x direction Cliff Ball strikes sea at point (s,0) Sea (0,0) 3(c) [7 Marks] A golf ball is struck with velocityv (meters per second) from the edge of a cliff which rises h metres above sea level. Referring to figure (3) the golf ball starts at the point (0, h) follows a parabola and strikes the sea some time later at the point (8,0). It can be shown that the (x, y) location...
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
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.
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is...
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is uz(x, y)/V = an+bn', where 7 = y/8(x) is a non-dimensional vertical coordinate, 8(x) is the boundary-layer 00 thickness, x is the streamwise coordinate, y is the coordinate normal to the wall, and V is the freestream velocity. (a) Calculate the local skin friction drag using the following momentum integral formula (Hint: x and 8(x) are treated as constants in the integral) (15 points)...
3. An incompressible fluid flows in a diverging channel, as shown. a) Develop a detailed integral equation for the exit...
3. An incompressible fluid flows in a diverging channel, as shown. a) Develop a detailed integral equation for the exit mass flowrate, b) Evaluate the integral from a) to flnd a simple equation for the exit mass flowrate. c) Find a simple equation for V inlet velocity V) where Vm is the maximum exit velocity and Vi is the d) If H 0.1 m and V1- 5 m/s, find a numerical value for Vm 2 H 2H
3. An incompressible...
Only need help with Question 3, thanks ;) The actual velocity profile is given by the...
Only need help with Question 3, thanks ;)
The actual velocity profile is given by the Poiseuille equation as follows: ()APR where AP is the pressure driving force, R is the tube radius, u is the fluid viscosity, Lis the tube length, and r is the radial position of interest. A couple of notes: . Assume that the fluid has a viscosity similar to water (rester 103 Pa s) Winter 2019 Il. The radial position r is defined to be...
2- (40 pts) Using Navier-Stokes equations, in class we developed the velocity profile between two stationary...
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...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: 16-y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
please solve (va20) for me thanks!! :) V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constan...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
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...
2) The viscous boundary layer velocity profile shown in following figure can be approximated by a parabolic equation, the Inviscid flow Viscous boundary ayer The boundary condition is u-5 m/s (the free stream velocity) at the boundary edge o (where the viscous friction becomes zero). Find the values of a, b, and c.
Ball has initial velocity v m/s in x direction Cliff Ball strikes sea at point (s,0) Sea (0,0) 3(c) [7 Marks] A golf ball is struck with velocityv (meters per second) from the edge of a cliff which rises h metres above sea level. Referring to figure (3) the golf ball starts at the point (0, h) follows a parabola and strikes the sea some time later at the point (8,0). It can be shown that the (x, y) location...
As shown in Fig. 1, the local velocity profile on a flat plate boundary layer is uz(x, y)/V = an+bn', where 7 = y/8(x) is a non-dimensional vertical coordinate, 8(x) is the boundary-layer 00 thickness, x is the streamwise coordinate, y is the coordinate normal to the wall, and V is the freestream velocity. (a) Calculate the local skin friction drag using the following momentum integral formula (Hint: x and 8(x) are treated as constants in the integral) (15 points)...
3. An incompressible fluid flows in a diverging channel, as shown. a) Develop a detailed integral equation for the exit mass flowrate, b) Evaluate the integral from a) to flnd a simple equation for the exit mass flowrate. c) Find a simple equation for V inlet velocity V) where Vm is the maximum exit velocity and Vi is the d) If H 0.1 m and V1- 5 m/s, find a numerical value for Vm 2 H 2H
3. An incompressible...
Only need help with Question 3, thanks ;)
The actual velocity profile is given by the Poiseuille equation as follows: ()APR where AP is the pressure driving force, R is the tube radius, u is the fluid viscosity, Lis the tube length, and r is the radial position of interest. A couple of notes: . Assume that the fluid has a viscosity similar to water (rester 103 Pa s) Winter 2019 Il. The radial position r is defined to be...
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...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: 16-y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
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