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Particle & Powder Density, Hausner Index and Carr Ratio



Introduction                                             The smaller the Carr’s Index the better
The measurement of individual particle                   the flow properties. For example 5-15
and bulk powder density is a process                     indicates excellent, 12-16 good, 18-21 fair
critical measurement for many industrial                 and > 23 poor flow.
sectors. This short note presents details
about two commonly used techniques.                      Examples
                                                         Data measured and determined for a
Bulk Density                                             range of household products are shown
The density of a powder is often                         in Table I. It can be seen from the
determined using a jolting volumeter. A                  Hausner ratio and the Carr’s Index that
known weight of sample is placed into a                  the bath salts and washing powder are
measuring     cylinder   and    ‘tapped’                 free flowing, whereas the talcs are
(mechanically raised and lowered a set                   cohesive.
distance) until a consistent volume is
                                                                       Bulk      Tapped    Hausner    Carr’s
reached which corresponds to the                           Material
                                                                      Density    Density    Ratio     Index
maximum packing density of the material.                    Blue
By measuring both the untapped volume                       Bath         1.100   1.175      1.068     6.383
and the tapped volume the following can                    Salts
be determined:                                             Peach
                                                            Bath         0.713   0.723      1.014     1.351
                                                           Salts
Pour (or Bulk) density = mass / untapped                  Washing
volume                                                                   0.666   0.730      1.097     8.824
                                                          Powder
                                                            Own
Tapped density = mass / tapped volume                      Brand         0.673   0.886      1.316     24.000
                                                            Talc
                                                           Brand
Hausner ratio = tapped density / pour                       Talc
                                                                         0.585   0.843      1.440     30.556
density
                                                            Table I: Typical density and flowability data
Carr’s Index = (tapped density – bulk                          determined for household products.
density) x 100 / tapped density
                                                         Pycnometry
It is well known that particle size                      Pycnometry is used to measure the
influences flowability. For example fine                 skeletal (or true) density of solids (and
particles (< 100µm) tend to be more                      some liquids) by measuring changes in
cohesive and therefore less free-flowing,                pressure with gas displacement. Helium
whereas larger denser particles tend to                  is typically used as it is a small inert
be free flowing.                                         molecule that easily permeates the
                                                         smallest of voids and open pores (but
The Hausner ratio and Carr’s index are                   does not permeate any closed porosity).
both measures of the flow properties of                  It is an ideal technique to measure
powders.    A Hausner ratio of <1.25                     particle density.
indicates a powder that is free flowing
whereas >1.25 indicates poor flow ability.
AN006 Particle & powder density hausner index and carr ratio rev 0.doc
Propan-2-ol
A pycnometer contains two chambers. In                                    5


the first chamber the volume is calibrated                               4.5




                                                                                                                         Washing Powder
                                                                          4
and then filled with a known weight of                                   3.5




                                                                                                                                          Talc


                                                                                                                                                   Bath Salts
sample. Prior to analysis the sample




                                                                                                     Washing Up Liquid
                                                                          3




                                                          Density g/cc
chamber is purged with helium to remove




                                                                                                                                                                              Clay


                                                                                                                                                                                     Milk Powder


                                                                                                                                                                                                   Toothpaste
                                                                         2.5




                                                                                                                                                                Body Lotion
any water and gases. During the analysis                                  2




                                                                               Water
helium is filled into the second chamber                                 1.5

                                                                          1
(known as the reference chamber) to a                                    0.5

specified pressure. From here the helium                                  0

flows into the sample chamber and when                                                                                                      Material



the pressure has stabilised the change in
pressure is recorded. The analysis is                    Figure 2: Pycnometer density results for
repeated until consistent results are                              a range of samples
obtained and the volume of the sample is
then calculated. From the volume the                     Escubed Ltd
density can then be determined, and                      Leeds Innovation Centre
typical values are shown in figure 1.                    103 Clarendon Road
                                                         Leeds LS2 9DF UK
                                                         tel +44 (0)870 126 3200
                                                         fax +44 (0)870 126 3201
                                                         www.escubed.co.uk




AN006 Particle & powder density hausner index and carr ratio rev 0.doc                                                                                                                       Page 2 of 2

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Hausner ratio

  • 1. Particle & Powder Density, Hausner Index and Carr Ratio Introduction The smaller the Carr’s Index the better The measurement of individual particle the flow properties. For example 5-15 and bulk powder density is a process indicates excellent, 12-16 good, 18-21 fair critical measurement for many industrial and > 23 poor flow. sectors. This short note presents details about two commonly used techniques. Examples Data measured and determined for a Bulk Density range of household products are shown The density of a powder is often in Table I. It can be seen from the determined using a jolting volumeter. A Hausner ratio and the Carr’s Index that known weight of sample is placed into a the bath salts and washing powder are measuring cylinder and ‘tapped’ free flowing, whereas the talcs are (mechanically raised and lowered a set cohesive. distance) until a consistent volume is Bulk Tapped Hausner Carr’s reached which corresponds to the Material Density Density Ratio Index maximum packing density of the material. Blue By measuring both the untapped volume Bath 1.100 1.175 1.068 6.383 and the tapped volume the following can Salts be determined: Peach Bath 0.713 0.723 1.014 1.351 Salts Pour (or Bulk) density = mass / untapped Washing volume 0.666 0.730 1.097 8.824 Powder Own Tapped density = mass / tapped volume Brand 0.673 0.886 1.316 24.000 Talc Brand Hausner ratio = tapped density / pour Talc 0.585 0.843 1.440 30.556 density Table I: Typical density and flowability data Carr’s Index = (tapped density – bulk determined for household products. density) x 100 / tapped density Pycnometry It is well known that particle size Pycnometry is used to measure the influences flowability. For example fine skeletal (or true) density of solids (and particles (< 100µm) tend to be more some liquids) by measuring changes in cohesive and therefore less free-flowing, pressure with gas displacement. Helium whereas larger denser particles tend to is typically used as it is a small inert be free flowing. molecule that easily permeates the smallest of voids and open pores (but The Hausner ratio and Carr’s index are does not permeate any closed porosity). both measures of the flow properties of It is an ideal technique to measure powders. A Hausner ratio of <1.25 particle density. indicates a powder that is free flowing whereas >1.25 indicates poor flow ability. AN006 Particle & powder density hausner index and carr ratio rev 0.doc
  • 2. Propan-2-ol A pycnometer contains two chambers. In 5 the first chamber the volume is calibrated 4.5 Washing Powder 4 and then filled with a known weight of 3.5 Talc Bath Salts sample. Prior to analysis the sample Washing Up Liquid 3 Density g/cc chamber is purged with helium to remove Clay Milk Powder Toothpaste 2.5 Body Lotion any water and gases. During the analysis 2 Water helium is filled into the second chamber 1.5 1 (known as the reference chamber) to a 0.5 specified pressure. From here the helium 0 flows into the sample chamber and when Material the pressure has stabilised the change in pressure is recorded. The analysis is Figure 2: Pycnometer density results for repeated until consistent results are a range of samples obtained and the volume of the sample is then calculated. From the volume the Escubed Ltd density can then be determined, and Leeds Innovation Centre typical values are shown in figure 1. 103 Clarendon Road Leeds LS2 9DF UK tel +44 (0)870 126 3200 fax +44 (0)870 126 3201 www.escubed.co.uk AN006 Particle & powder density hausner index and carr ratio rev 0.doc Page 2 of 2