(a)Calculate the minimum velocity at which spherical particles of density 1600 kg/m3 and of diameter 1.5 mm will be fluidized by water in a tube of diameter 10 mm. You can assume the density of water to be 1000 kg/m3 and its viscosity 1x10-3 Pa.s and the void fraction at incipient fluidization is 0.4. (b) if the bed contains 100 kg of particles, what is the pressure drop at onset of fluidization?

4. Consider two-dimensional, laminar, unidirectional flow between parallel (spacing: 2h), vertical plates. One plate, to the left, is moving downward with constant velocity vi; the other is moving upward at a constant velocity v2. If we consider the fluid Newtonian, solve for the velocity profile using our newly defined Navier-Stokes Eqns.

2C.4 Falling-cylinder viscometer (see Fig. 2C.4). A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (ra- dius KR). The slug is equipped with fins so that its axis is coincident with that of the tube. One can observe the rate of descent of the slug in the cylindrical container when the lat- ter is filled with fluid. Find an equation that gives the viscosity of the fluid in terms of the ter- minal velocity of the slug and the various geometric quantities shown in the figure. Cylindrical slug descends- with speed t -XR- Cylindrical container filled with fluid Fig. 2C.4 A falling-cylinder viscom- eter with a tightly fitting solid cylin- der moving vertically. The cylinder is usually equipped with fins to maintain centering within the tube. The fluid completely fills the tube, and the top and bottom are closed. (a) Show that the velocity distribution in the annular slit is given by (1-)-(1+¹) In…

6S.14 The falling film is widely used in chemical processing for the removal of gaseous species. It involves the flow of a liquid along a surface that may be inclined at some angle ø ≥ 0. Gas (A) -PA 111 Liquid film (B) The flow is sustained by gravity, and the gas species A outside the film is absorbed at the liquid-gas interface. The film is in fully developed laminar flow over the entire plate, such that its velocity components in the y- and z-directions are zero. The mass density of A at y = 0 in the liquid is a constant PA, independent of z. (a) Write the appropriate form of the x-momentum equation for the film. Solve this equation for the distribution of the a velocity component, u(y), in the film. Express your result in terms of 6, g, o, and the liquid properties and p. Write an expression for the maximum velocity umax. (b) Obtain an appropriate form of the A species conservation equation for conditions within the film. If it is further assumed that the transport of species A…

Just part d please

As shown in the accompanying figure, a thin flat plate rests on top of a film of ambient temperature (i.e. 20 °C) water. When a small force F is applied to this plate, the velocity profile within the water film can be described as vx = 40y-800y² where y is the distance (m) from the bottom stationary plate. a. Show that velocity equation satisfies the 'no-slip' conditions that must exist for both the top moving plate and bottom stationary plate. b. Calculate the magnitude of the shear stress (in Pa) that is acting on the top plate 10 mm 0.32 m/s -X

express in 4 decimal places    ans asap

At 293 K Benzene flows through viscometer 1.8 times slower than acetone. What is the density ratio of acetone to benzene based on viscosity? Assume that viscosity of acetone at 293 K is the same as 298 K.

Problem1 A thin plate is separated from two fixed thick plates by two fluids of viscosity μ₁ and μ2 (see figure). The plate spacings h₁ and h₂ are unequal. Let A be the contact area between the thin plate and each of the two fluids. Assuming a linear velocity distribution in both fluids, determine the expression of the force F required to pull the thin plate at a constant velocity V

5. Consider the problem of laminar, unidirectional flow in a pipe of radius a. Using the Navier- Stokes Equations: Solve for the velocity profile, u(r), in the pipe Calculate the maximum and bulk velocity (umax, ub) for this flow