The flow rate between the plates is a parabola
u(x,y)=U0(1-y^2/b^2) v(x,y)=0
and U0=5cm/s b=1cm viscosity u=1.0x10^-3 Ns/m^2
Find
(1) y=b/2 acceleration ax=?
(2) y=b/2 shear stress
The flow rate between the plates is a parabola u(x,y)=U0(1-y^2/b^2) v(x,y)=0 and U0=5cm/s b=1cm viscosity u=1.0x10^-3...
Problem 3- For flow of an incompressible, Newtonian fluids between parallel plates, the velocity distribution between the plate is given by 1 dP 2μ dr where y is the direction from one plate (y-0) to another (y-w),and x is the direction of flow a) What is the expression for the rate of deformation matrix? b) What is the expression for the stress matrix? c) At the center of the flow y w/2, what is the direction of internal forcing due...
A fluid having a viscosity u 9.35 x 104 lbf-s/ft is contained between two parallel plates, each of which has a cross section of 200 in2. The bottom plate is fixed whereas the top plate moves at a constant velocity of 4 ft/s when a shearing force is applied. The separation distance between the plates is a uniform 0.05 in. Assume the velocity distribution in the fluid is linear. Determine the following: 4. the shear stress in the fluid (lbf/in2)...
The velocity profile of a steady-state flow (u = 0.001 kg/m .s) between two parallel plates is given by the following relation, u(a) = 6 4-0). oszsh My -10 mm Calculate the shear stress in Pa) acting on the a) at 2 = 0 b) at 210 mm
2. Consider a polymer (with density p and viscosity u) flowing in between two parallel plates in a vertical position. Both plates are stationary at x = 0 and x = h. A downward pressure is applied - dp/dz which is constant across the z-direction, which is also aided by gravity acting on the negative z-direction. Starting with the Navier-Stokes equations, find the simplified equation that defines the fluid velocity vz. State your assumptions to achieve this simplified equation. (7pts)...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in figure 2. Assume that pressure increases 30°. Acceleration due t o Pa and the channel height is h 10 cm inclined at te the velocity profile of the flow. State your assumptions and show your work. onal Newtonian, steady state, incompressible flow of a fluid be- by 1 kPa/ a dynamic viscosity of H1-1 x 10 amic viscosity of uo wall towards the right....
Consider the turbulent flow of air, density 1.2 kg/m3 and kinematic viscosity 1.5x10-5m2/s, through a channel bounded by two infinitely wide parallel plates 0.2 m apart. At a certain downstream location where fully-developed conditions apply, the wall shear stress is measured to be 0.027 N/m2. a. Determine the streamwise mean velocities at locations 0.25 mm and 1 cm from the wall. b. At which of these two locations do you expect to find the larger Reynolds shear stress.
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
1. Find the angle between the gradients of the scalar fields u(x, y, z) and v(x, y,z) at the point M, if v-dt4 M-21 4
1. Find the angle between the gradients of the scalar fields u(x, y, z) and v(x, y,z) at the point M, if v-dt4 M-21 4
2- (40 pts) Using Navier-Stokes equations, in class we developed the velocity profile between two stationary infinite parallel plates for a laminar, fully developed, steady flow. Here is the exact same flow: u(y) = 2 ( 0) (02 – hy) v= 0 a) Find the expression for average velocity for such flow. b) Use the average velocity you calculated in (a) to find the expression for volume flow rate per unit width into the page. c) If at x=105 m...