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A) For a rectangular coordinate system, we developed the Navier Stokes equation for vx. Now, reduce that equation to balance the pressure force with shear stress (or frictional force) and develop an expression for vx in a rectangular channel of height h (y=0 is the centerline and no slip at y= +- h/2; use the concept of symmetry). Then develop an expression for vmax, average velocity, flow rate (Q) and shear stress at the wall (For flow rate calculations, assume a width of the channel to be w. Therefore the cross sectional area of the channel is wh).
B) Design of a chamber that will be used to study cell culture under a flow field: Determine the channel height that can be used to determine the wall shear stresses as high as 20 dyne/cm2 with flow rates less than 2 cm3/s. The viscosity of the tissue culture medium is 0.0087 gm/cm.s. The width of the channel is 2 cm.
Calculate spring coefficient k = P/δ and discuss the design on how much spring radius r should be changed to increase k two times
a spherical buoy has a diameter of 1.5 mnbspweighs 8.50 kn and is anchored to the sea floornbspwith a cable as is shown
air at one atmospheric pressure and at 20degc flows across a 12 mm diameter sphere witha free stream velocity of 5 ms.
a convenient and secure attachment point for fall protection lines is located 35 feet above ground level on the
a man of mass m1 walks along a plank of length l with a constant acceleration a relative to the plank. The mass of the plank is m2 and the coefficient of friction between the plank and the ground is mu. Find the distance the plank moves if the man..
A 0.7-lb block rests on top of a 0.5-lb block supported by but not attached to a spring of constant 9 lb/ft. The upper block is suddenly removed. Determine (a) the Maximum velocity reached by the 0.5-lb block, (b) the maximum height reached by the..
The plate is submerged in a liquid is a vertical position with the parallel sides horizontal and the shorter parallel side at the top and exactly in the surface of the liquid. The static moment of the plate with respect to the surface of the liqui..
Cooling/Dehumidification of an air stream, A 1000 m3/minute air stream at atmospheric pressure is at a temperature of 82.2oC and a humidity of 60%. We want to cool the air + water vapor to 8.9oC to condense the water vapor.
the air velocity in a duct is measured by a Pitot-static probe connected to a differential pressure gage. if the air is at 13.4 psia absolute and 70 degrees C and the reading of the differential pressure gage is 0.15 psi, determine the air velocit..
refrigerant 134a is too accelerated in a steady flow nozzle to a velocity of 250 mpa. at the nozzle inlet the pressure
An 8-kg plunger is released from rest in the position shown and is stopped by two nested springs; the constant of the outer spring is k1 = 4 kN/m and the constant of the inner spring is k2 = 12 kN/m. If the plunger is released from the height
counters a and b are non-paralyzable with dead times of 30 or 100 microseconds respectively. at what true event rate
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