Homework Answers
Add Answer to:
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be...
4. A laminar, one-dimensional flow far from the entrance is occurring between two parallel plates, as...
4. A laminar, one-dimensional flow far from the entrance is occurring between two parallel plates, as in question 3. Given the following velocity profile, 11(y)= 4ux with h = 0.05m, Umax = 4m/s. u=0.0010 kg/m-s and plate lengths L = 10m, obtain (a) a relation for the drag force applied by the fluid on a section of the plates of length L and (b) calculate the actual drag force. Assume a unit plate width (i.e. width = 1m).
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic:...
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
Problem 2 Find the velocity profile for steady, fully-developed, laminar flow in a circular pipe. Integrate...
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.
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that a...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
The drag force Fp on a smooth sphere falling in water depends on the sphere speed...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value o...
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
fluid mechanics A steady, incompressible, and laminar flow of a fluid of viscosity u flows through...
fluid mechanics
A steady, incompressible, and laminar flow of a fluid of viscosity u flows through an inclined narrow gap of a crack in the wall of length L and a constant width W shown in Figure Q1(b). Assume that the gap has a constant thickness of 7. The fluid flows down the inclined gap at an angle and in the positive x-direction. No pressure gradient is applied throughout the flow but there is gravitational effect. Derive an expression for...
4. A laminar, one-dimensional flow far from the entrance is occurring between two parallel plates, as in question 3. Given the following velocity profile, 11(y)= 4ux with h = 0.05m, Umax = 4m/s. u=0.0010 kg/m-s and plate lengths L = 10m, obtain (a) a relation for the drag force applied by the fluid on a section of the plates of length L and (b) calculate the actual drag force. Assume a unit plate width (i.e. width = 1m).
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
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.
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
fluid mechanics
A steady, incompressible, and laminar flow of a fluid of viscosity u flows through an inclined narrow gap of a crack in the wall of length L and a constant width W shown in Figure Q1(b). Assume that the gap has a constant thickness of 7. The fluid flows down the inclined gap at an angle and in the positive x-direction. No pressure gradient is applied throughout the flow but there is gravitational effect. Derive an expression for...
Most questions answered within 3 hours.
-
Describe how do you feel about the post below and
why?
Listening to the podcast reaffirmed...
asked 5 minutes ago -
To start an avalanche on a mountain slope, an artillery shell is
fired with an initial...
asked 18 minutes ago -
The population of bacteria in a culture can be modeled by P left
parenthesis t right...
asked 22 minutes ago -
Which factors can prevent permanent fixation of an allele (i.e.
maintain genetic diversity)? Hint: You're going...
asked 24 minutes ago -
Compare a two-year bond with two successive one-year bonds in a
situation in which an investor...
asked 46 minutes ago -
Chapter 6
Search the internet and find a newspaper example of a price
ceiling, price floor...
asked 41 minutes ago -
Sarah Bates, calendar year taxpayer, started a new business on
October 8th. A number of start-up...
asked 42 minutes ago -
You and your friends are playing in the swimming pool with a
40-cm-diameter beach ball. How...
asked 47 minutes ago -
Patterson Development sometimes sells property on an installment
basis. In those cases, Patterson reports income in...
asked 59 minutes ago -
please help with these two example, i want to double check my
work. thanks
1.
sum:=0...
asked 56 minutes ago -
in the formation of 1.0 mole of the following crystalline solids
from the gaseous ions most...
asked 1 hour ago -
Please answer Letter G only.
Price
Quantity
TR
MR
MC
TC
Profit
$15,000
0
0
----...
asked 1 hour ago