Question 2 Figure 2: Flow between two inclined plates Consider a two-dimensional plates, as shown in...
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...
A fluid shown in (Figure 2) flows through the narrow region AB between two smooth plates that are 20 mm apart and 2 m deep. Use the x- and y-axis intersection as the origin. If the change in pressure is PB-PA-5 kPa, determine the volumetric flow rate through region AB. Assume the fluid is a Newtonian fluid with a viscosity of 0.148 N -s/m2 and density of p 960 kg/m3. Express your answer in the appropriate units to three significant...
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...
I asked this previously and wasn't given an answer, just methods
that I could use. It was really unhelpful. I woudl thankful to
whoever actually solves this.
Question 2 free surface fluid 1 fluid 2 fR h2 plate moves at constant speed U Figure 2: Bottom plate moves at constant speed under two unmixed fluids Consider a two-dimensional Newtonian, steady state, incompressible flow of two fluids over an infinite horizontal plate moving at speed U 1 m/s, as shown in...
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...
10. Immiscible fluids Two immiscible incompressible Newtonian fluids flow together through in thedirection two lates separated by a distance H in the y-direction. Let us make thé top plate /move with ection while fixing the bottom plate. At steady state, however, there be a little slip velocity of the more dense fluid only at the lower boundary The flow constant vetocity V in the x-dir is ynidirectional and faminar. For convenience, we take that x is the flow direction and...
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)...
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...
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).
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]...