The velocity distribution for water (15 degrees Celcius) near a wall is given by u=a(y/b)^n, where y is the distance from wall in mm and u is the velocity in m/s. The parameters, a = 22.0, b = 2.3, and n = 1/6. Determine shear stress in the water at 0.13 mm from the wall.
The velocity distribution for water (15 degrees Celcius) near a wall is given by u=a(y/b)^n, where...
The velocity distribution for water at 20°C flow over a flat plate is given by u-2y-6y in 4. which u is the velocity in meter per second at a distance ofy meter above the plate. Determine the shear stress at y=0.15m. mstivals
The velocity distribution for laminar flow between parallel plates is given by where h is the distance separating the plates and the origin is placed midway between the plates Consider a flow of water at 15° C, with umaz 1.65 m/s and h = 0.89 mm. Calculate the shear stress on the upper plate and give its direction. Use Table A.8 Ti N/m2 yr
Water at 15 degrees Celcius (surface tension is 0.0742 N/m) stands in a clean glass tube of 1.5-mm diameter at a height of 45 mm. What is the true static height?
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
Oil flows near a flat surface and some measurements of the oil velocity, u, parallel to the surface, at different heights, y, above the surface are obtained. At the surface y 0. After an analysis of the data, the lab technician reports that the velocity distribution in the range 0 < y < 0.1 ft is given by the equation u-0.81 + 9.2y + 4.1x 10зуз with u in ft/s when y is in ft a) Do you think this...
The velocity distribution of a fluid flowing (u |expressed as u(z) az - bz2 where u(z) is the velocity at a distance z from the plate and a and b are constants. If the shear stress acting on the plate is 1N/m2, which of the following answers are correct? ls it: 0.5 Nsm over a plate can be a) b 2 s b) a 2 s1 c) a 1 s d) b 1 s1 e) b 0.5 s1 -1 =...
H2.3 Consider water at 20°C flowing through a horizontal pipe of diameter 15 cm and length 10 m. The flowrate is 0.021 m3/s and the wall shear stress is 5.76 N/m2. Assume fully developed flow. a. Verify that the flow is turbulent b. Determine the pressure drop [N/m2 c. Estimate the viscous sublayer thickness [mm], i.e., where y+ 5 d. Compare results of part c. with typical pipe roughness (see Table 8.1 in text and comment on implication e. Using...
Problem 3. A 2D velocity field for an incompressible Newtonian fluid is given by u 12xy-62.3, u = 18x2y-4y3, where the velocity has unit m/s and x and y are in meters. (a) Determine the normal stresses ơzz and ơuy, and shear stress Try at the point x-1 m, y 1 m, where the pressure at this point is 6 kPa and dynamic viscosity is 1 Pa.s. (b) Sketch the magnitude and direction of the stress components.
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...
Find the flow rate Q when the flow velocity distribution u (m /
s) in the pipeline with radius R (m) as shown in the figure below
is expressed by the following equation as a function of the
distance y (m) from the inner wall surface. However, U is the
maximum flow velocity (m / s) in the central axis of the pipeline,
and the flow velocity distribution u is symmetrical with respect to
the central axis of the pipeline,...