Question

In: Other

A packed bed of uniform spherical particles of diameter, d= 2.5 mm, density ρs= 4000 kg/m3...

A packed bed of uniform spherical particles of diameter, d= 2.5 mm, density ρs= 4000 kg/m3 , and voidage e= 0.45 is fluidised by means of a liquid of viscosity μ= 1 mN s/m2 and density ρ= 900 kg/m3 . (a) Starting from Carman’s and Ergun’s equations reported in the attached equations sheet, derive the corresponding expressions for the minimum fluidising velocity, umf, for both equations and explain their meaning.

Solutions

Expert Solution


Related Solutions

130 kg of uniform spherical particles with a diameter of 60 mm and particle density 1500...
130 kg of uniform spherical particles with a diameter of 60 mm and particle density 1500 kg/m3 are fludised by water (density 1000 kg/m3, viscosity 0.001 Pa s) in a circular bed of cross-sectional area 0.2 m2. The single particle terminal velocity of the particles is 0.98 mm/s and the voidage at incipient fludisation is known to be 0.47. Determine: a. The minimum fludised velocity             b. height when the liquid flow rate is 2x10-5 m3/s.  
130 kg of uniform spherical particles with a diameter of 60 mm and particle density 1500...
130 kg of uniform spherical particles with a diameter of 60 mm and particle density 1500 kg/m3 are fludised by water (density 1000 kg/m3, viscosity 0.001 Pa s) in a circular bed of cross-sectional area 0.2 m2. The single particle terminal velocity of the particles is 0.98 mm/s and the voidage at incipient fludisation is known to be 0.47. Determine: The minimum fludised velocity and the bed height at incipient fludisation.                                The mean fludised bed voidage and height when...
Approximately spherical particles of diameter 150? and density 2650 kg/m3 settle through a liquid of density...
Approximately spherical particles of diameter 150? and density 2650 kg/m3 settle through a liquid of density 1097 kg/m3 and dynamic viscosity 3.8 mPa s. The volume fraction of particles is 30% in a container of internal diameter 2 cm Calculate: a)The absolute settling velocity that is apparent to the stationary observer in the lab frame. b)The slip velocity (Us) between solid and liquid phases. c) The superficial velocity of the particles in the lab frame.
Q. Spherical glass particles (12 mm diameter and 2500 kg/m 3 density) and spherical metal particles...
Q. Spherical glass particles (12 mm diameter and 2500 kg/m 3 density) and spherical metal particles (1.5 mm diameter and 7500 kg/m3) are falling in water (density= 1000 kg/m3) . (1) Calculate the terminal falling velocities of glass and metal particles in water for a constant friction factor of 0.22. (2) At what water velocity will fluidized beds of glass particles and metal particles have the same bed densities? The relation between fluidization velocity (uc), terminal velocity (ut) and bed...
A 1-mm diameter sphere (density=7900 kg/m3) is dropped into a tank of oil (density=900 kg/m3). The...
A 1-mm diameter sphere (density=7900 kg/m3) is dropped into a tank of oil (density=900 kg/m3). The sphere develops a terminal speed of 0.25 cm/s, what is the oil's viscosity? You may assume a small Reynolds number. Show your work.
A packed bed reactor is filled with catalyst material with a diameter of 1.5 mm. The...
A packed bed reactor is filled with catalyst material with a diameter of 1.5 mm. The length of the reactor is 80 cm and the catalyst has a porosity of 0.45. The superficial mass velocity of the inlet gas is 7.5 kg/m2-s with a viscosity of 1.55x10-5 kg/m-s and a density of 2.8 kg/m3. The inlet pressure is 300 kPa. Find the pressure, P, at the end (the exit) of the PBR.
Solid particles of density 2500 kgm-3 were packed into a fluidized bed reactor of 2 m...
Solid particles of density 2500 kgm-3 were packed into a fluidized bed reactor of 2 m in height and 0.04 m2 in cross-sectional area. The mass and height of the packed bed are 45 kg and 1 m, respectively. The surface-volume mean diameter of the particles is 1 mm. (a) Determine the porosity of the packed bed. (b) Determine the pressure drop across the bed when a liquid of density 800 kgm-3 and viscosity of 0.002 Pa s flows through...
Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water...
Solid particles (diameter 1.5 x 10-4 m, average density = 2800 kg/m3) are settling in water at 30 °C. The properties of water at this temperature are viscosity (µ) = 8 x 10-4 kg/m.s and density (p) = 996 kg/m3 a) What is the terminal velocity for the particles? b) What would be the velocity of the system in a separator with an acceleration of 390 m/s2?
1. A slurry of particles with density 2000 kg/m3 is to be loaded into a thickener...
1. A slurry of particles with density 2000 kg/m3 is to be loaded into a thickener where the resulting voidage fraction is 0.89 and the superficial particle velocity is 2.8 mm/s. Calculate the particle system velocity. 2. Consider batch sedimentation system performed within a measuring cylinder where solids are settled according to Type 1 settling. The voidage fraction after the settling is 0.35 and the particle density is 2500 kg/m3 while the particle velocity is 0.0015 m/s. 2.1. What is...
Say the density of air is 1.23 kg/m3 and the density of helium is 0.164 kg/m3...
Say the density of air is 1.23 kg/m3 and the density of helium is 0.164 kg/m3 when both are at STP. Let's model a balloon as a sphere of radius 0.12 m, with mass 2 g. 1) What is the mass of the helium that would fill a single balloon? 2) What is the buoyant force on a single balloon? 3) What is the net force on a single balloon? 4) If we attach 0.5 m of string (properties: 800...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT