Reconsider the forced (solid body rotation) and free vortex flows of a liquid in a circular...
Reconsider the forced (solid body rotation) and free vortex flows of a liquid in a circular tank of radius R. Derive the shape of the free surface that would exist for both of these flows when the flow is not confined (in an open tank).
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Reconsider the forced (solid body rotation) and free vortex
flows of a liquid in a circular...
Navier-Stokes Equation: An incompressible Newtonian liquid is confined between two concentric cy...
Navier-Stokes Equation:
An incompressible Newtonian liquid is confined between two
concentric cylinders of infinite length—a solid inner cylinder of
radius RA and a hollow outer cylinder of radius RB. The inner
cylinder rotates at angular velocity ω and the outer cylinder is
stationary. The flow is steady, laminar, and two-dimensional in the
r-θ plane. The flow is rotationally symmetric, meaning that nothing
is a function of the coordinate θ. The flow is also circular so
that ur=0 everywhere.
Found Uθ=...
8610 mm/s is wrong as well. Viscous liquid from a circular tank, D = 300 mm...
8610 mm/s is wrong as well.
Viscous liquid from a circular tank, D = 300 mm in diameter, drains through a long circular tube of radius R = 50 mm. The velocity profile at the tube discharge is Show that the average speed of flow in the drain tube is V = 1/2 Umax. Evaluate the rate of change of liquid level in the tank at the instant when Umax = 0.155 m/s dh/dt 8.61 the tolerance is +/-2%
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L....
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L. The radii of the inner and outer surfaces are R, and respectively. The outer hollow cylinder is stationary and the inner solid cylinder is moving in the axial direction at velocity U . The axial velocity of the liquid is given as u(r)- Ro, R (In r- In Ro), where r is the radial position. In(R, / R) ener cylinder, moving u (a) Find...
Oxygen is consumed in body cells at a rate which is nearly independent of the oxygern...
Oxygen is consumed in body cells at a rate which is nearly independent of the oxygern concentration. As a model of region in tissue i.e. tumor, consider steady-state oxygen diffusion in a sphere of radius ro, with zeroth-order consumption of oxygen. Assume that oxygen concentration at the outer surface (r - ro) is maintained at constant at Co. Determine the oxygen concentration profile, C(r) If radius ro, and consumption of oxygen is sufficiently large, no oxygen will reach a central...
Please answer in details!! include free body diagram!! block of mass m is positioned on the...
Please answer in details!!
include free body diagram!!
block of mass m is positioned on the frictionless semi-circular surface with radius R as shown. It slides down the surface and undergoes a completely inelastic collision with an identical block which is at rest at the bottom. After the collision, both blocks slide up ramp that makes an angle θ with the horizontal until they come to rest. The coefficient of kinetic friction between the blocks and the ramp is μk....
To increase the effect of rotation, figure skaters pull their arms in when they spin Consider...
To increase the effect of rotation, figure skaters pull their arms in when they spin Consider a figure skater with moment of inertia with her arms outstretched of I_i = 3.6kgm^2, and I_f = 1.1kgm^2 with her arms pulled in. She starts out spinning at omega_i = 0.85_s^-1 with her arms outstretched. Find omega_f. the skater's rotational velocity after she pulls her arms in. Find the increase in her rotational kinetic energy. Where does this extra energy come from? Problem...
Question D.1 A2 Not sure Water flows between two tanks connected by a 100 m long pipe as shown in figure D1-1 below The tanks have a free surface height difference of 15 m and are both open to a...
Question D.1 A2 Not sure Water flows between two tanks connected by a 100 m long pipe as shown in figure D1-1 below The tanks have a free surface height difference of 15 m and are both open to atmosphere. The first 30 m of pipe from the upper tank (section 1) has an internal diameter of 50 mm and a friction factor of 0.006, whilist the remaining 70m of pipe (section 2) has an internal diameter mm and a...
a) In a regular household wire, current I flows (uniformly!) down a long straight con- ducting...
a) In a regular household wire, current I flows (uniformly!) down a long straight con- ducting wire of radius R. Assume the metal is a "magnetically linear" material, with magnetic susceptibility Xm. Find the magnetic field B (magnitude and direction) as a function of distance r from the center of the wire (both inside and outside the wire). b) Compute the total bound current per length of the rod. (Include both volume and surface bound currents.) c) What can you...
Question 1 [40 Points] Liquid mercury at 300 K flows over a flat surface at a...
Question 1 [40 Points] Liquid mercury at 300 K flows over a flat surface at a free stream velocity 0.15 m/s. The flat plate is smooth with a width of 0.25 m and length 0.5 m and is kept at a uniform temperature of 400 K. The flow is parallel to the longer dimension of the plate. Find out: 1. MINIMUM LOCAL convective heat flux, q min and its location (60%) 2. Total convective heat transfer rate, q (40%) Use...
on is a short free short free-response question. Show your work for each part of the...
on is a short free short free-response question. Show your work for each part of the 2R Note: Figures not drawn to scale. An astronaut stands on the surface of a spherical asteroid that has a weak gravitational telo but no atmosphere. The astronaut throws a small rock straight upward, as shown at left above The rock travels upward until it reaches a distance of 2R from the center of the asteroid, where R is the asteroid's radius, and then...
Navier-Stokes Equation:
An incompressible Newtonian liquid is confined between two
concentric cylinders of infinite length—a solid inner cylinder of
radius RA and a hollow outer cylinder of radius RB. The inner
cylinder rotates at angular velocity ω and the outer cylinder is
stationary. The flow is steady, laminar, and two-dimensional in the
r-θ plane. The flow is rotationally symmetric, meaning that nothing
is a function of the coordinate θ. The flow is also circular so
that ur=0 everywhere.
Found Uθ=...
8610 mm/s is wrong as well.
Viscous liquid from a circular tank, D = 300 mm in diameter, drains through a long circular tube of radius R = 50 mm. The velocity profile at the tube discharge is Show that the average speed of flow in the drain tube is V = 1/2 Umax. Evaluate the rate of change of liquid level in the tank at the instant when Umax = 0.155 m/s dh/dt 8.61 the tolerance is +/-2%
Q2: A liquid with viscosity μ is confined between two concentric circular surfaces of length L. The radii of the inner and outer surfaces are R, and respectively. The outer hollow cylinder is stationary and the inner solid cylinder is moving in the axial direction at velocity U . The axial velocity of the liquid is given as u(r)- Ro, R (In r- In Ro), where r is the radial position. In(R, / R) ener cylinder, moving u (a) Find...
Oxygen is consumed in body cells at a rate which is nearly independent of the oxygern concentration. As a model of region in tissue i.e. tumor, consider steady-state oxygen diffusion in a sphere of radius ro, with zeroth-order consumption of oxygen. Assume that oxygen concentration at the outer surface (r - ro) is maintained at constant at Co. Determine the oxygen concentration profile, C(r) If radius ro, and consumption of oxygen is sufficiently large, no oxygen will reach a central...
Please answer in details!!
include free body diagram!!
block of mass m is positioned on the frictionless semi-circular surface with radius R as shown. It slides down the surface and undergoes a completely inelastic collision with an identical block which is at rest at the bottom. After the collision, both blocks slide up ramp that makes an angle θ with the horizontal until they come to rest. The coefficient of kinetic friction between the blocks and the ramp is μk....
To increase the effect of rotation, figure skaters pull their arms in when they spin Consider a figure skater with moment of inertia with her arms outstretched of I_i = 3.6kgm^2, and I_f = 1.1kgm^2 with her arms pulled in. She starts out spinning at omega_i = 0.85_s^-1 with her arms outstretched. Find omega_f. the skater's rotational velocity after she pulls her arms in. Find the increase in her rotational kinetic energy. Where does this extra energy come from? Problem...
Question D.1 A2 Not sure Water flows between two tanks connected by a 100 m long pipe as shown in figure D1-1 below The tanks have a free surface height difference of 15 m and are both open to atmosphere. The first 30 m of pipe from the upper tank (section 1) has an internal diameter of 50 mm and a friction factor of 0.006, whilist the remaining 70m of pipe (section 2) has an internal diameter mm and a...
a) In a regular household wire, current I flows (uniformly!) down a long straight con- ducting wire of radius R. Assume the metal is a "magnetically linear" material, with magnetic susceptibility Xm. Find the magnetic field B (magnitude and direction) as a function of distance r from the center of the wire (both inside and outside the wire). b) Compute the total bound current per length of the rod. (Include both volume and surface bound currents.) c) What can you...
Question 1 [40 Points] Liquid mercury at 300 K flows over a flat surface at a free stream velocity 0.15 m/s. The flat plate is smooth with a width of 0.25 m and length 0.5 m and is kept at a uniform temperature of 400 K. The flow is parallel to the longer dimension of the plate. Find out: 1. MINIMUM LOCAL convective heat flux, q min and its location (60%) 2. Total convective heat transfer rate, q (40%) Use...
on is a short free short free-response question. Show your work for each part of the 2R Note: Figures not drawn to scale. An astronaut stands on the surface of a spherical asteroid that has a weak gravitational telo but no atmosphere. The astronaut throws a small rock straight upward, as shown at left above The rock travels upward until it reaches a distance of 2R from the center of the asteroid, where R is the asteroid's radius, and then...
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