US3774856A - Ball mills with superellipsoidal balls - Google Patents

Ball mills with superellipsoidal balls Download PDF

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Publication number
US3774856A
US3774856A US00187049A US3774856DA US3774856A US 3774856 A US3774856 A US 3774856A US 00187049 A US00187049 A US 00187049A US 3774856D A US3774856D A US 3774856DA US 3774856 A US3774856 A US 3774856A
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United States
Prior art keywords
balls
super
ball
drum
superellipsoidal
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Expired - Lifetime
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US00187049A
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English (en)
Inventor
F Hamilton
T Calcott
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Commonwealth Steel Co Pty Ltd
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Commonwealth Steel Co Pty Ltd
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B02—CRUSHING, PULVERISING, OR DISINTEGRATING; PREPARATORY TREATMENT OF GRAIN FOR MILLING
    • B02C—CRUSHING, PULVERISING, OR DISINTEGRATING IN GENERAL; MILLING GRAIN
    • B02C17/00—Disintegrating by tumbling mills, i.e. mills having a container charged with the material to be disintegrated with or without special disintegrating members such as pebbles or balls
    • B02C17/18—Details
    • B02C17/20—Disintegrating members

Definitions

  • ABSTRACT A ball type grinding mill, in which the balls are superellipsoids of such a shape that the Surface of the ball in each octant of a Cartesian coordinate system has x, y and z axes which are defined by the formula wherein a, b, c, 11,, n and n are constants, a is unequal to b, and n 11 and 11 each have a minimum value greater than 2.
  • n n and n each have a maximum value of 4 and most preferably in the range 2.1-4.0.
  • the ratio between at least two of-the constants a, b and c be greater than 1 and less than 2, and more particularly the ratio between a and b may advantageously equal 4 to 3 when b equals 6 Claims, 3 Drawing Figures
  • This application is a continuation-in-part of our copending application Ser. No. 789,719, filed Jan. 8, 1969, now abandoned.
  • the invention relates to ball type grinding mills for the grinding of materials in either wet or dry state.
  • ball is used as denoting the loose objects, also known as grinding media, within the rotating or otherwise moving part of the mill which perform the grinding operation.
  • Such balls have heretofore been used in a variety of shapes.
  • Such balls may be made in'various manners, including forging, upsetting or molding, and the materials used to make such objects may be steel, flint, ceramic,
  • the balls have to be replaced from time to time because they wear away mechanically and are also sub ject to chemical corrosion, and this replacement is a considerable item'of expense.
  • the object of the present invention is to provide balls of a ball mill with improved shape which are more economical to manufacture and more efficient in operation.
  • a circle when modified in shape by partial symmetrical deformation from four equally spaced directions (whilst retaining an approximately or totally convex form) is known and herein referred to as a supercircle".
  • a symmetrically deformed ellipse is known 'and referred to as a super-ellipse, the supercircle being a special form of super-ellipse.
  • Correspondingly shaped solid bodies are known and herein referred to as "super-spheres and super-ellipsoids.
  • x, y and: are rectangular Cartesian where a does not equal b but where b may equal c. This may be regarded as a special form of the more general super-ellipsoid. Also, as in the derivation of any ellipsoid or super-ellipsoid, the powers n n and n need not be equal one to another.
  • a superellipsoid may therefore be defined as a derivative of the above general formula for all conditions other than "where 1 b c and m, n, and n each have a value equal to or less than 2.
  • n is not equal to a mul iple of v if the rmula is employed tederlve super-ellipsoid octant by eetent. That is, a complete super-ellipsoid may be derived to occupy a complete Cartesian space by eonltruetlng one eetent of the super-ellipsoid and reflec in time into the remalnlng'seven ectantn of the Cartelill'i space.
  • Super-ellipsoids hereinafter referred to in conjunction with the general formula should be understood as so constructed.
  • the present invention therefore provides a ball type grinding mill in which the balls are of such ashape that the surface thereof in each octant ofta Cartesian coordinate system having x, y and z axes can be expressed by the formula drawings, in which FIG. 1 is an exemplary outline of a ball for use in a grinding mill according to the invention, and whichhas the shape of a super-ellipsoid,
  • FIG. 2 is a mathematical diagram embodying the outline of FIG. 1, and
  • FIG. 3 is a perspective view of an embodiment .ofa ball mill according to the invention, with partswcut away.
  • FIG. 1 may be regarded as a super-ellipse .perseuor as an elevation of a super-ellipsoid generated .by rotating the super-ellipse about its major axis. Also of course, it is a section on any plane passing through such major axis.
  • FIG. 2 a pair of Cartesian axesare depicted having two co-ordinates x and y, and a superellipse curve is depicted at 10.
  • FIG.3 An example of a ball mill suitable forthe purpose is shown in general outline in FIG.3 and comprises a drum D which is mounted in alined bearings 20,22 for rotation on a horizontal axis. The bearings are supported on base posts 24 and 26, respectively.
  • the drum D has an inlet or feed and portion 28 and an outlet or discharge end portion 30, and the portion of the drum between the bearings 20,22 comprises a middle cylindrical section 32 and twoconical end sections 34,36 which converge from said middle section 32 towards the inlet end portiortk28and the outletend portion 30, respectively.
  • a gearwheel 38-is secured to the drum Hand is concentrical therewith. Said, gear wheel 38 is adapted for mashing engagement with a tion 32 is providedwith an opening covered by. a removable cover member 40.
  • the drum D is tare-charged with a multiplicity of grinding mill balls 42 of the kind described above which may have been introduced through the feed end portion 28 or through the opening having the cover member 40 upon removal of said cover member.
  • the balls of the inventive shape tend to align themselves end to endand side by side which serves to delay wear and to preserve the shape even under wear.
  • the balls have a smaller peripheral dimension than spherical balls of the same weight and they thereby impart a greater amount of energy per unit area on impact with the material in the drum than spherical or avoid balls, as generally employed in the art.
  • the individual balls are readily subjected to rotational movements in the drum, particularly about their longer axes.
  • the invention is restricted to the use of balls in the shape of super-ellipsoids in which n,, n and u each has a value of 2.1 to 4.0, and the ratio between the larger and smaller of at least one pair of semi-axes (a, b, c) lies between I and 2.
  • a very desirable set of rati os is b/c; and a/b j/ We claim? l.
  • a ball type grinding mill in which the ballsare superellipsoids of such a shape that the surface of the ball in each octant of a Cartesian coordinate system has 1:, y and z axes which are defined by the formula a ll P ndi asset i i'thins a m 1,
  • n and n each have a maximum value of 4.

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  • Engineering & Computer Science (AREA)
  • Food Science & Technology (AREA)
  • Crushing And Grinding (AREA)
US00187049A 1968-01-12 1971-10-06 Ball mills with superellipsoidal balls Expired - Lifetime US3774856A (en)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
AU32310/68A AU431920B2 (en) 1968-01-12 1968-01-12 Improvements in ball mills andin balls for use therein

Publications (1)

Publication Number Publication Date
US3774856A true US3774856A (en) 1973-11-27

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US00187049A Expired - Lifetime US3774856A (en) 1968-01-12 1971-10-06 Ball mills with superellipsoidal balls

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US (1) US3774856A (en))
AU (1) AU431920B2 (en))
BE (1) BE726748A (en))
DE (1) DE1900587A1 (en))
GB (1) GB1253867A (en))

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4561597A (en) * 1982-06-22 1985-12-31 Anglo-American Clays Corp. Method for improving handleability of calcined kaolin clay products
US4593860A (en) * 1982-01-21 1986-06-10 Anglo American Clays Corporation Method for improving handleability of calcined kaolin clay products
US4693427A (en) * 1982-06-22 1987-09-15 E.C.C. America Inc. Method for improving handleability of calcined kaolin clay products
CN106040376A (zh) * 2016-06-29 2016-10-26 昆明理工大学 一种半自磨棒球介质
IT201700024715A1 (it) * 2017-03-06 2018-09-06 Synecom S R L Vettore termico per il riscaldamento di materia prima in un reattore, impianto per la pirolisi di materia prima che utilizza il detto vettore termico e metodo per la pirolisi di materia prima

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
AU625288B2 (en) * 1988-04-08 1992-07-09 Magotteaux (Pty) Ltd Grinding media and method of grinding
MY111038A (en) * 1993-10-12 1999-07-31 Nihon Nohyaku Co Ltd An improved pesticidal aqueous suspension concentrate and a process for production thereof.
RU2203138C1 (ru) * 2001-10-12 2003-04-27 Шинкоренко Станислав Федорович Мелющее тело
RU2199396C1 (ru) * 2002-01-30 2003-02-27 Балахнина Евгения Евгеньевна Мелющее тело
RU2477659C2 (ru) * 2010-05-25 2013-03-20 Государственное образовательное учреждение высшего профессионального образования "Белгородский государственный технологический университет им. В.Г. Шухова" Шаровая загрузка барабанной мельницы

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4593860A (en) * 1982-01-21 1986-06-10 Anglo American Clays Corporation Method for improving handleability of calcined kaolin clay products
US4561597A (en) * 1982-06-22 1985-12-31 Anglo-American Clays Corp. Method for improving handleability of calcined kaolin clay products
US4693427A (en) * 1982-06-22 1987-09-15 E.C.C. America Inc. Method for improving handleability of calcined kaolin clay products
CN106040376A (zh) * 2016-06-29 2016-10-26 昆明理工大学 一种半自磨棒球介质
IT201700024715A1 (it) * 2017-03-06 2018-09-06 Synecom S R L Vettore termico per il riscaldamento di materia prima in un reattore, impianto per la pirolisi di materia prima che utilizza il detto vettore termico e metodo per la pirolisi di materia prima
WO2018163015A1 (en) * 2017-03-06 2018-09-13 Synecom S.R.L. Heat carrier for heating raw material in a reactor, plant for the pyrolysis of raw material using said heat carrier and method for the pyrolysis of raw material
EP3592827A1 (en) * 2017-03-06 2020-01-15 Synecom S.r.l. Heat carrier for heating raw material in a reactor, plant for the pyrolysis of raw material using said heat carrier and method for the pyrolysis of raw material
EA039017B1 (ru) * 2017-03-06 2021-11-23 Синеком С.Р.Л. Носитель тепла, предназначенный для нагревания исходного материала в реакторе, установка для пиролиза исходного материала с использованием упомянутого носителя тепла и способ пиролиза исходного материала

Also Published As

Publication number Publication date
BE726748A (en)) 1969-06-16
AU431920B2 (en) 1973-01-23
AU3231068A (en) 1970-03-05
DE1900587A1 (de) 1969-08-28
GB1253867A (en) 1971-11-17

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