Topic: Fluid mechanics Consider a laminar flow driven by pressure and by gravity between fixed parallel...
Topic: Fluid mechanics
Consider a laminar flow driven by pressure and by gravity
between fixed parallel plates with width of W and length L>>W
separated by a distance d and inclined from an angle 
relative to the horizontal For the stationary regime of an
incompressible fluid in these conditions
a) Calculate the pressure field
b)Calculate the velocity field
c)Calculate the toal drag force
d)Calculate the power dissipated in the flow
Homework Answers
Add Answer to:
Topic: Fluid mechanics
Consider a laminar flow driven by pressure and by gravity
between fixed parallel...
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...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat plates separated by a distance B (Figure). The bottom plate is stationary and the top plate moves at a constant velocity Vup. For a constant dynamic pressure gradient, AP/AX, P-p-g r, we wish to calculate the resulting velocity profile. 9--(%) + mai Differentiation equation: B.C.v. (y=0) -0,vxly - B) - Vu Figure 1.10 Pressure-driven flow between two infinite, parallel, flat plates. (i) () Use...
Please attempt the FULL QUESTION Question 4 For pressure-driven laminar flow between two horizontal infinite parallel...
Please attempt the FULL QUESTION
Question 4 For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. For the problem above, obtain the final form of the energy equation after applying the given assumptions. (10 marks) b) Identify the fluid temperature distribution T(y), for a constant...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
Consider a fully developed laminar flow of an incompressible Newtonian fluid between two infinite parallel plates,...
Consider a fully developed laminar flow of an incompressible
Newtonian fluid between two infinite parallel plates, separated by
a distance of 2B. The z coordinate is the direction of the flow.
The width of the plates is 2W (direction y). The coordinate axis is
located half of the 2 plates.
a) Obtain the distribution of speeds in steady state.
b) Obtain the expression for the maximum velocity and write the
velocity distribution of part a) as a function of the...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Consider steady laminar viscous fluid between two parallel plates with distance h separated from each other....
Consider steady laminar viscous fluid between two parallel plates with distance h separated from each other. A pressure gradient dp/dx drives the flow. By considering forces acting on a small volume between the parallel plates, obtain the velocity profile, the volumetric flow rate, and the average velocity in terms of centerline velocity Umax Umax
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).
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an...
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall as shown in the figure(Fig. P12a). The oil film thickness is h, and gravity acts in the negative z-direction (downward in the figure) There is no applied (forced) pressure driving the flow the oil falls by gravity alone. (1) Calculate the velocity field in the oi film and sketch the normalized velocity profile. And generate an expression for the volumetric flow...
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...
Consider the case of a Newtonian fluid undergoing laminar, pressure-driven flow between two parallel, infinite flat plates separated by a distance B (Figure). The bottom plate is stationary and the top plate moves at a constant velocity Vup. For a constant dynamic pressure gradient, AP/AX, P-p-g r, we wish to calculate the resulting velocity profile. 9--(%) + mai Differentiation equation: B.C.v. (y=0) -0,vxly - B) - Vu Figure 1.10 Pressure-driven flow between two infinite, parallel, flat plates. (i) () Use...
Please attempt the FULL QUESTION
Question 4 For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. For the problem above, obtain the final form of the energy equation after applying the given assumptions. (10 marks) b) Identify the fluid temperature distribution T(y), for a constant...
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel plates where the one is moving with velocity y, other one is stationary. There exists pressure gradient in x direction. The bottom stationary plate is a porous plate andfluid is injected into the channel with V velocity. If theflow is steady, fully developed and incompressible flow, derive the velocity profile. Uo Vo
1. As seenfrom figure, there is a laminar and viscous fluid flow betweentwo parallel...
Consider a fully developed laminar flow of an incompressible
Newtonian fluid between two infinite parallel plates, separated by
a distance of 2B. The z coordinate is the direction of the flow.
The width of the plates is 2W (direction y). The coordinate axis is
located half of the 2 plates.
a) Obtain the distribution of speeds in steady state.
b) Obtain the expression for the maximum velocity and write the
velocity distribution of part a) as a function of the...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Consider steady laminar viscous fluid between two parallel plates with distance h separated from each other. A pressure gradient dp/dx drives the flow. By considering forces acting on a small volume between the parallel plates, obtain the velocity profile, the volumetric flow rate, and the average velocity in terms of centerline velocity Umax Umax
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).
12. Consider steady, incompressible, parallel, laminar flow of a film of oil falling slowly down an infinite vertical wall as shown in the figure(Fig. P12a). The oil film thickness is h, and gravity acts in the negative z-direction (downward in the figure) There is no applied (forced) pressure driving the flow the oil falls by gravity alone. (1) Calculate the velocity field in the oi film and sketch the normalized velocity profile. And generate an expression for the volumetric flow...
Most questions answered within 3 hours.
-
A member of the volleyball team spikes the ball. During this
process, she changes the velocity...
asked 50 seconds ago -
Are adult gamers less likely to use a gaming console (Xbox,
PlayStation, Wii, etc...) than teen...
asked 53 minutes ago -
The University of
Texas recently reported that 43% of college students aged 18-24
would spend their...
asked 1 hour ago -
The length of stay at a specific emergency department in
Phoenix, Arizona, in 2009 had a...
asked 20 minutes ago -
. Please give the mechanism for this type of problem. Step by
Step
The toxin that...
asked 24 minutes ago -
If you have a 1M stock solution and you want to dilute 1 :10
with water,...
asked 26 minutes ago -
In a load instruction, the effective address is obtained by
A) Retriving the address from a...
asked 26 minutes ago -
Use the following information to answer this question.
Windswept, Inc. 2017 Income Statement ($ in millions)...
asked 27 minutes ago -
A mutual fund salesperson has arranged to call on four people
tomorrow. Based on past experience...
asked 1 hour ago -
Let the RV Y has the pdf
f ( y ) = 6 y ( 1...
asked 1 hour ago -
Question 12
Where should a copy of a private key should be placed so it is...
asked 29 minutes ago -
What is the entropy change to the surroundings when 1 mol of ice
melts in someone's...
asked 48 minutes ago