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    PRODUCTION OF 6000

    TONNES PER DAY OF

    LIMESTONEBy Addison Juttie, Mohammad Amir Hakim & Wan Ah

    Ilham

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    ASSUMPTIONS

    1. The mine operates over 10 years ith a 1! million"ton output at its li#e runs $!0 days per year ith $ shi#ts per day o# % hours.

    $. o emer'en(y stoppa'e o# the pro(ess durin' the produ(tion pe

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    HOPPER DESIGN

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    DETERMINING THE MINIMUM HOPPOUTLET DIMENSION

    )*tain in#ormation #or the hopper desi'n,

    +##e(tive #ri(tion an'le,

    Material-all inter#a(e #ri(tion an'le,

    /rom the and o*tained, e (an determine the #lo #un(tion, #

    an'le o# the hopper, .

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    )*tain in#ormation o# the poder o #un(tion

    2raph o# 3( versus 3y

    With the 4 o*tained previously, a #un(tion (an *e o*tained usin' the r

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    GRAPH OF SIGMA Y VERSUS SIGMA

    0 10 $0 60 70 !0 80 900

    0.!

    1

    1.!

    $

    $.!

    6

    6.!

    7

    7.!

    Powder Flow Function

    Sigma C

    Sigma Y

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    CRITICAL STRESS, SIGMA CRITICA

    ;riti(al stress, critical can be obtained by

    1.The intersection between powder flow function and =/

    2.The maximum point or the highest point of the powder flow function if intersection

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    SLOPE OF THE HOPPER WALL, H(

    With the an'le o# the hopper, o*tained, it then (an *e used to ide

    #a(tor determined *y the slope o# the hopper all, H

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    MINIMUM OUTLET DIMENSION

    The si>e o# the hopper outlet, B, and the *ulk density, ?B, o# the m

    H

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    INFORMATION ON MINIMUM OUTLEDIMENSION

    Parameters

    +##e(tive #ri(tion an'le, !0

    Material-all inter#a(e #ri(tion an'le,

    60.!

    /lo #un(tion, 4 1.$!

    ;riti(al stress, critical 6.$ k:a

    The an'le o# the hopper, 10.6

    @lope o# the hopper all, H

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    VOLUME OF HOPPER

    olume o# the limestone in the hopper in a produ(tion o# a one hour pro(ess

    Mass orate, 8,000 tonnes-day

    $!0,000 k'-hour

    /or inlet diameter o# 0.!m, area, A 0.1%86m$

    Bulk density, ?B 18!%.8 k'-m6

    elo(ity (an *e determined *y the #ormula,

    elo(ity is (al(ulated to *e 989.6% m-hr

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    olume orate, C (an *e determined *y the #ormula

    The volume o rate is determined to *e 1!0.86D9 m6-hr

    There#ore, in one hour, the volume o# limestone in the hopper is 1!0

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    DIMENSIONS OF HOPPER

    There are three main dimensions in desi'nin' a hopper. Amon' them

    ;oni(al se(tion dimension

    ;ylindri(al-*in se(tion dimension

    Inlet se(tion dimension

    The re(ommended dimensions o# the hopper desi'n #or handlin' 1!0o# limestone is to have $ hoppers ith the (oni(al se(tion to have a hm, (ompared to the la* s(ale o# 0.Dm.

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    CONICAL

    With the hei'ht o# (oni(al se(tion to *e 8m, the an'le o# the hopper,

    10.! and the outlet diameter (al(ulated to *e 0.7$9!m, the diamete(onne(tin' the (oni(al se(tion to the (ylindri(al se(tion (an *e deterusin' tri'onometri( #un(tions.

    The (ylindri(al se(tion diameter is (al(ulated to *e 1.6071!m

    The volume o# the (oni(al se(tion is determined usin' the #ormula

    The volume o# the (oni(al se(tion is determined to *e 1$.99!1m6

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    DIMENSIONS FOR CONICAL SECTIO

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    HEIGHT OF CYLINDRICAL/BIN SECT

    The hei'ht is determined *y the remainin' volume #rom the (oni(a

    and the diameter o# the (ylindri(al se(tion.

    With the previous re(ommendation, the volume #or one hopper is n

    The volume in the (ylindri(al se(tion only ill no *e

    The hei'ht, h o# (ylindri(al se(tion (an *e determined usin' the #o

    The hei'ht o# the (ylindri(al se(tion is determined to *e 11.9179m

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    DIMENSIONS FOR CYLINDRICAL SEC

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    OVERALL DIMENSIONS OF HOPPE