Homework Answers
Please use the non-dimensionalised continuity equation in addition to the given equation, and follow the steps given below-
Add Answer to:
Problem 7 (20 Points Fully developed flow between two, flate, infinite, parallel plates can be described...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
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 the two-dimensional, incompressible flow with constant properties in the entry region of a horizontal channel...
Consider the two-dimensional, incompressible flow with constant properties in the entry region of a horizontal channel shown in the figure below To- a) Write the ful equations for conservation of mass and of momentum in the r and y directions, and the equation of thermal energy. (10) (b) Simplify the equations, as they apply to this case. Explain your simplifications. (10) (c) Nondimensionalize the simplified governing equations, defining your nondimensional pa- rameters. (10) (d) Simplify the nondimensional equations for the...
Problem 1: Differential Relations for a Fluid Particle (25 points) Two horizontal, infinite, parallel plates are...
Problem 1: Differential Relations for a Fluid Particle (25 points) Two horizontal, infinite, parallel plates are spaced a distance b apart. A viscous liquid is contained between the plates. The bottom plate is fixed, and the upper plate moves parallel to the bottom plate with a velocity U. Assume no-slip boundary conditions. There is no pressure gradient in the direction of flow (a) Demonstrate using the Navier-Stokes equation in the x-direction that the velocity profile is of the form: (15...
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long...
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long (L) parallel surfaces separated by a distance b. The bottom surface at y 0 moves in the negative x-direction at a speed vo while the top surface at y b is stationary. In addition, a constant pressure gradient dP/dx is acting on the liquid in the x-direction. (a) Write the simplified form of the Navier-Stokes equation and the appropriate boundary conditions. (b) Derive an...
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below....
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
Problem 2. An incompressible, Newtonian fluid flows downwards between two vertical parallel plates that are a...
Problem 2. An incompressible, Newtonian fluid flows downwards between two vertical parallel plates that are a distance 2h away from each other. The flow is fully developed (i.e. steady) and the entirety of the velocity is the in vertical direction and due to gravity. Assuming there is no pressure gradient, solve for this velocity, w, as a function of 2. (3 points) Figure 1: Flow between two vertical parallel plates due to gravity.
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...
Two horizontal plates with infinite length and width are separated by a distance H in the...
Two horizontal plates with infinite length and width are separated by a distance H in the zdirection. The bottom plate is moving at a velocity vx=U. The incompressible fluid trapped between the plates is moving in the positive x-direction with the bottom plate. Align gravity with positive z. Assume that the flow is fully-developed and laminar. If the systems operates at steady state and the pressure gradient in x-direction can be ignored, do the following: 1. Sketch your system. 2....
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
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 the two-dimensional, incompressible flow with constant properties in the entry region of a horizontal channel shown in the figure below To- a) Write the ful equations for conservation of mass and of momentum in the r and y directions, and the equation of thermal energy. (10) (b) Simplify the equations, as they apply to this case. Explain your simplifications. (10) (c) Nondimensionalize the simplified governing equations, defining your nondimensional pa- rameters. (10) (d) Simplify the nondimensional equations for the...
Problem 1: Differential Relations for a Fluid Particle (25 points) Two horizontal, infinite, parallel plates are spaced a distance b apart. A viscous liquid is contained between the plates. The bottom plate is fixed, and the upper plate moves parallel to the bottom plate with a velocity U. Assume no-slip boundary conditions. There is no pressure gradient in the direction of flow (a) Demonstrate using the Navier-Stokes equation in the x-direction that the velocity profile is of the form: (15...
Water is in steady fully developed laminar flow between two horizontal, very wide (W) and long (L) parallel surfaces separated by a distance b. The bottom surface at y 0 moves in the negative x-direction at a speed vo while the top surface at y b is stationary. In addition, a constant pressure gradient dP/dx is acting on the liquid in the x-direction. (a) Write the simplified form of the Navier-Stokes equation and the appropriate boundary conditions. (b) Derive an...
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
Problem 2. An incompressible, Newtonian fluid flows downwards between two vertical parallel plates that are a distance 2h away from each other. The flow is fully developed (i.e. steady) and the entirety of the velocity is the in vertical direction and due to gravity. Assuming there is no pressure gradient, solve for this velocity, w, as a function of 2. (3 points) Figure 1: Flow between two vertical parallel plates due to gravity.
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...
Most questions answered within 3 hours.
-
Write a balanced chemical equation for the reaction between HCl
and NaOH. Be sure to include...
asked 4 minutes ago -
A 200 g mass is gently hung on a vertical spring which stretches
it 20cm before...
asked 6 minutes ago -
Elaborate on some of the difficulties in determine the value of
information, as well as the...
asked 3 minutes ago -
A person wants to use a lever to lift a dumpster weighing 4700
N. The lever...
asked 8 minutes ago -
Hello,
Can you assist with the 2 part multiple choice question?
1A) Which of the following...
asked 23 minutes ago -
A municipal bond you are considering as an investment currently
pays a yield of 6.82 percent....
asked 28 minutes ago -
My Ebook is already expired. How could I keep using it since it
is very helpfull...
asked 36 minutes ago -
describe in detail your "perfect" place to study in your home
giving great detail to how...
asked 52 minutes ago -
Decide with a brief explanation of the following statements
about reaction rates and catalysis are true:...
asked 54 minutes ago -
Write a grading program in Java for a class with the following
grading policies: There are...
asked 56 minutes ago -
Can someone explain the process of this Display a text
file program and show the supposed...
asked 1 hour ago -
When a solid dissolves in water, heat may be evolved or
absorbed. The heat of dissolution...
asked 1 hour ago