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4304 iven:The velocity of a fluid in shallow channel can be expressed in 2-d as. Find: a) the stagnation points, if any b) stream function 4304 iven:The velocity of a fluid in shallow channe...
3. Show that the velocity field with components (in spherical coordinates) K,-(4kr-3-2)cosa, pa-(2kr-3 +2)sin θ, ν, 0, k > 0,0 is a possible fluid velocity for an incompressible flow. For k 4,...
3. Show that the velocity field with components (in spherical coordinates) K,-(4kr-3-2)cosa, pa-(2kr-3 +2)sin θ, ν, 0, k > 0,0 is a possible fluid velocity for an incompressible flow. For k 4, determine the stagnation points of the flow, if any. Hint: For stagnation point (W.,Vo,V)-(0,0,0) @s 2
3. Show that the velocity field with components (in spherical coordinates) K,-(4kr-3-2)cosa, pa-(2kr-3 +2)sin θ, ν, 0, k > 0,0 is a possible fluid velocity for an incompressible flow. For k 4,...
Laminar Fully Developed 2-D Channel Flow Velocity Velody Vectors and beforming Fluid Elements = 5(1. y)...
Laminar Fully Developed 2-D Channel Flow Velocity Velody Vectors and beforming Fluid Elements = 5(1. y) = 0 For Problem D) FOr the fluid particle circled in red the average value of the shear strain rate = _ (1/s) very. slight curve III 05 LE Numeric Answer:
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x...
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
please answer the following fluid mechanic question. 2. (10 points) A velocity field is given by...
please answer the following fluid mechanic question.
2. (10 points) A velocity field is given by V =3(x2 - y2)i - 6xyj. 3, m Derive the stream function wix.y) and use it to calculate the volume flowrate q (per unit length in the direction) across the straight path AB shown in the figure.
The velocity distribution of a fluid flowing (u |expressed as u(z) az - bz2 where u(z)...
The velocity distribution of a fluid flowing (u |expressed as u(z) az - bz2 where u(z) is the velocity at a distance z from the plate and a and b are constants. If the shear stress acting on the plate is 1N/m2, which of the following answers are correct? ls it: 0.5 Nsm over a plate can be a) b 2 s b) a 2 s1 c) a 1 s d) b 1 s1 e) b 0.5 s1 -1 =...
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...
An incompressible plane flow has the velocity potential - 2Bxy, where is a constant 2. value...
An incompressible plane flow has the velocity potential - 2Bxy, where is a constant 2. value 10.00 points Find the stream function of this flow O-B(y-7)+const OU-B(y2 + 2*) + const Ov-B(y? - ??) + const O-B(x+y)+const Check my work 3. value 10.00 points The interpretation of the flow pattern of the above streamlines represents stagnation flow turned 90° to the left True False
Problem1 A recreational park is built near a stream. The stream channel can carry 200 m3/s, which is the peak flow of the 5-yr. storm of the watershed. Find the following: (a) The probability that...
Problem1 A recreational park is built near a stream. The stream channel can carry 200 m3/s, which is the peak flow of the 5-yr. storm of the watershed. Find the following: (a) The probability that the park will be flooded next year. (b) The probability that the park will be flooded at least once in the next 10 years (c) The probability that the park will be flooded 3 times in the next 10 years. (d) The probability that the...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
3. Water flows through a circular channel that has a diameter of d= 75 mm at...
3. Water flows through a circular channel that has a diameter of d= 75 mm at both the inlet and outlet, as shown below. The fluid enters with uniform velocity U = 7.5 m/s. The channel makes a 90° bend that distorts the flow to produce the velocity profile at the outlet described by the function, v(r) = Vmax ( 1 -722 Assume steady, incompressible flow. Density of water is 1000 kg/m² a) Find the value of Vmax. b) Find...
3. Show that the velocity field with components (in spherical coordinates) K,-(4kr-3-2)cosa, pa-(2kr-3 +2)sin θ, ν, 0, k > 0,0 is a possible fluid velocity for an incompressible flow. For k 4, determine the stagnation points of the flow, if any. Hint: For stagnation point (W.,Vo,V)-(0,0,0) @s 2
3. Show that the velocity field with components (in spherical coordinates) K,-(4kr-3-2)cosa, pa-(2kr-3 +2)sin θ, ν, 0, k > 0,0 is a possible fluid velocity for an incompressible flow. For k 4,...
Laminar Fully Developed 2-D Channel Flow Velocity Velody Vectors and beforming Fluid Elements = 5(1. y) = 0 For Problem D) FOr the fluid particle circled in red the average value of the shear strain rate = _ (1/s) very. slight curve III 05 LE Numeric Answer:
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
please answer the following fluid mechanic question.
2. (10 points) A velocity field is given by V =3(x2 - y2)i - 6xyj. 3, m Derive the stream function wix.y) and use it to calculate the volume flowrate q (per unit length in the direction) across the straight path AB shown in the figure.
The velocity distribution of a fluid flowing (u |expressed as u(z) az - bz2 where u(z) is the velocity at a distance z from the plate and a and b are constants. If the shear stress acting on the plate is 1N/m2, which of the following answers are correct? ls it: 0.5 Nsm over a plate can be a) b 2 s b) a 2 s1 c) a 1 s d) b 1 s1 e) b 0.5 s1 -1 =...
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...
An incompressible plane flow has the velocity potential - 2Bxy, where is a constant 2. value 10.00 points Find the stream function of this flow O-B(y-7)+const OU-B(y2 + 2*) + const Ov-B(y? - ??) + const O-B(x+y)+const Check my work 3. value 10.00 points The interpretation of the flow pattern of the above streamlines represents stagnation flow turned 90° to the left True False
Problem1 A recreational park is built near a stream. The stream channel can carry 200 m3/s, which is the peak flow of the 5-yr. storm of the watershed. Find the following: (a) The probability that the park will be flooded next year. (b) The probability that the park will be flooded at least once in the next 10 years (c) The probability that the park will be flooded 3 times in the next 10 years. (d) The probability that the...
A biofluid is flowing down an inclined plane. The velocity profile of this fluid can be described by P& 2 Sine if the coordinate axis is aligned with the inclined plane. In the equation above, ρ and μ the fluid density and viscosity, respectively; g is the acceleration of gravity, h is the thickness of the fluid film, and θ is the angle of inclination of the plane. a. Sketch a diagram of the system and reference coordinates. (5 points)...
3. Water flows through a circular channel that has a diameter of d= 75 mm at both the inlet and outlet, as shown below. The fluid enters with uniform velocity U = 7.5 m/s. The channel makes a 90° bend that distorts the flow to produce the velocity profile at the outlet described by the function, v(r) = Vmax ( 1 -722 Assume steady, incompressible flow. Density of water is 1000 kg/m² a) Find the value of Vmax. b) Find...
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