t = mue*(du/dz)
du/dz = a-2bz
t = mue*(a-2bz)
t (z=0) = 0.5*a
1 = 0.5(a)
a = 2 s-1
The velocity distribution of a fluid flowing (u |expressed as u(z) az - bz2 where u(z)...
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,...
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
A fluid, n-Butyl alcohol is flowing at 60℉ with a velocity of 80 ft/s through a tube with a diameter of 0.20 inches. Assuming that the velocity distribution is parabolic, determine the magnitude of the shear stress at the wall of the tube.
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)...
, (20 pts) The Newtonian fluid is confined between an upper plate and a bottom f If its velocity profile is defined by u s(9y-0.1y3) rn m/s , where y is in mm, (a) determine the shear stress that the fluid exerts on the upper plate and bottom fixed surface and (b) indicate the direction of each shear stress. Take the fluid viscosity A0.482 N s/m2.
1. Fluid between parallel plates down an inclined plane (gravity setler). Fluid is flowing between parallel plates, at an angle of β to the vertical. Assume δ<<w, L. th a momentum balance on a differential shell, and using the notation shown below, derive: i. the velocity distribution in the fluid, v,-f(x/b), and sketch result ii. the shear stress distribution in the fluid, -f(x/ö), and sketch result. iii. the volumetric flow rate iv. the maximum velocity, and the position x where...
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 fluid flow between two parallel plates is given below: Where h is distance separating the two plates and the origin placed midway between the plates. Consider the flow of water at 35oC with a maximum velocity (Umax) of 0.075 m/s and h = 5mm. Calculate the force on 1.5 m2 of lower plate. [5 marks]
please help Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
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