If a fluid with density 1000 flows with a velocity field
v=3yi−3xj−5zkv=3yi−3xj−5zk, find the fluid flow rate outward
through the sphere x2+y2+z2=1x2+y2+z2=1.
flow rate =
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If a fluid with density 1000 flows with a velocity field
v=3yi−3xj−5zkv=3yi−3xj−5zk, find the fluid flow...
A two dimensional incompressible flow is given by the velocity field V = 3yi + 2xj,...
A two dimensional incompressible flow is given by the velocity field V = 3yi + 2xj, in arbitrary units. Does this flow satisfy continuity? If so, find the stream function ψ(x,y) and plot a few streamlines, with arrows.
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flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l < y < l. (b) Same cylinder (kr, ky, kz) above, now with as
flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l
vector Problem #5: Use the divergence theorem to find the outward fly SfF:nds of the field...
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Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k Use a computer algebr...
Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k
Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k
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Consider the flow field with velocity given by: V = [A(y2-x2)-Bx] i + [2Axy+By] j, where A = 4 m-1s -1 and B = 4 m-1s -1. The coordinates are measured in meters. The density is 1,000 kg/m3, and gravity acts in the negative y-direction Calculate the acceleration of a fluid particle and the pressure gradient at point (x, y) = (1, 1).
Fluid mechanics I A velocity field is given by v = 2y^+-2x] (a) Is the flow...
Fluid mechanics
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A fluid flows with a constant velocity v- 3k(m/s). Calculate the flow rate in (m1 /s) through the part of the elliptic paraboloid z-x2 +y with y' with :34 and upward pointing normal 10 y_3k(m / s...
A fluid flows with a constant velocity v- 3k(m/s). Calculate the flow rate in (m1 /s) through the part of the elliptic paraboloid z-x2 +y with y' with :34 and upward pointing normal 10 y_3k(m / s) Figure 2. Elliptic paraboloid for which flux of fluid will be calculated
A fluid flows with a constant velocity v- 3k(m/s). Calculate the flow rate in (m1 /s) through the part of the elliptic paraboloid z-x2 +y with y' with :34 and upward...
2) A flow field has velocity field given by: u= x2 - y2, v= -2xy 1....
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A fluid flows with a constant velocity v = 3k (m /s). Calculate the flow rate in (m3 /s) through the part of the elliptic paraboloid 3) with :S4 and upward pointing normal vector. v 3k (m/s) 2 -2 Fig...
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Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v. r, p and n. Hint: v « rpn => y = krapne mass volume distance force Velocity density viscosity time (area) [velocity gradient] velocity gradient velocity Using dimensional analysis, find the values of a, b and c. length
flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l < y < l. (b) Same cylinder (kr, ky, kz) above, now with as
flux of the fluid flow with velocity (0,0, kz), k constant (a) Calculate the mass 5. V _ and constant density po through the cylinder 2 z2 b2, -l
vector Problem #5: Use the divergence theorem to find the outward fly SfF:nds of the field F = tan-1(10y + 3z) i + e sxj + 1x2 + y2 + z2 k, where S is the surface of the region bounded by the graphs of z = Vx2 + y2 and x2 + y2 + z2 = 49. ,z2 + 3 cos x + Problem #5: Enter your answer symbolically, as in these examples
Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k
Use a computer algebra system to find the rate of mass flow of a fluid of density ρ through the surface S oriented upward if the velocity field is given by F(x, y, z) 0.52k
Fluid mechanics
I A velocity field is given by v = 2y^+-2x] (a) Is the flow steady? noble (6). Is the law irratungl * v=0 1 (c) What is the velocity of a particle at (2,1)? (d) Oblain an equation for the streamline through (2, 1).
A fluid flows with a constant velocity v- 3k(m/s). Calculate the flow rate in (m1 /s) through the part of the elliptic paraboloid z-x2 +y with y' with :34 and upward pointing normal 10 y_3k(m / s) Figure 2. Elliptic paraboloid for which flux of fluid will be calculated
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2) A flow field has velocity field given by: u= x2 - y2, v= -2xy 1. Prove that the flow is irrotational 2. Determine the stream function, 3. Find the potential function, 4. Create a plot of the flow net diagram
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A fluid flows with a constant velocity v = 3k (m /s). Calculate the flow rate in (m3 /s) through the part of the elliptic paraboloid 3) with :S4...
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