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    Filter Design

    Uploaded by

    Sakil Mollah
    A rotary filter is required to filter 0.002 m3/s of suspension. A test on a small laboratory filter found that the pressure difference increased from 14 kN/m2 to 28 kN/m2 over 600 seconds as the cake thickness reached 38 mm. Suitable dimensions and operating conditions for the rotary filter are needed, assuming half the cloth resistance and a constant 70 kN/m2 pressure difference can be maintained.

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    Filter Design

    Uploaded by

    Sakil Mollah
    37 views2 pages
    A rotary filter is required to filter 0.002 m3/s of suspension. A test on a small laboratory filter found that the pressure difference increased from 14 kN/m2 to 28 kN/m2 over 600 seconds as the cake thickness reached 38 mm. Suitable dimensions and operating conditions for the rotary filter are needed, assuming half the cloth resistance and a constant 70 kN/m2 pressure difference can be maintained.

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    filter

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    A rotary filter is required to filter 0.002 m3/s of suspension. A test on a small laboratory filter found that the pressure difference increased from 14 kN/m2 to 28 kN/m2 over 600 seconds as the cake thickness reached 38 mm. Suitable dimensions and operating conditions for the rotary filter are needed, assuming half the cloth resistance and a constant 70 kN/m2 pressure difference can be maintained.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    37 views2 pages

    Filter Design

    Uploaded by

    Sakil Mollah
    A rotary filter is required to filter 0.002 m3/s of suspension. A test on a small laboratory filter found that the pressure difference increased from 14 kN/m2 to 28 kN/m2 over 600 seconds as the cake thickness reached 38 mm. Suitable dimensions and operating conditions for the rotary filter are needed, assuming half the cloth resistance and a constant 70 kN/m2 pressure difference can be maintained.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    A continuous rotary filter is required for an industrial process for the filtration of a suspension to produce 0.

    002
    m3/s of filtrate. A sample was tested on a small laboratory filter of area 0.023 m2 to which it was fed by means of a
    slurry pump to give filtrate at a constant rate of 0.0125 m3/s. The pressure difference across the test filter increased
    from 14 kN/m2 after 300 s filtration to 28 kN/m2 after 900 s, at which time the cake thickness had reached 38 mm.
    What are suitable dimensions and operating conditions for the rotary filter, assuming that the resistance of the cloth
    used is one-half that on the test filter, and that the vacuum system is capable of maintaining a constant pressure
    difference of 70 kN/m2 across the filter?

    To Find Length of the Filter: L=2.5 x Diameter

    To Find End to end length of filter : H(ft)= 0.949L(ft) + 3.696, 1ft =304.8 mm
    35
    y = 0.9493x + 3.696
    R² = 0.9959
    30

    25

    20
    E to E

    15

    10

    0
    0 10 20 30 40
    Length

    fLv 2
    hf =
    2gD

    πD2
    => 𝑄 = ( ) V;
    4

    4Q
    => 𝑉 = ;
    πD2
    8𝑓𝐿𝑄2
    => ℎ𝑓 = ;
    𝜋2 𝑔𝐷5

    For iterative calculations;∑ K i Q2i = 0; => ∑ K i (Q i + ∆Q i )2 = 0 ; => ∑ K i (Q2i + 2Q i ∆Q i + ∆Q i ) = 0;

    => ∑ K i Q2i + 2 ∑ K i Q i ∆Q i = 0;

    2 ∑ Ki Qi ∆Qi
    ∆Q i = − ∑ Ki Q2
    Eqs.1
    i

    To find new 𝑄𝑖 value in iterative method;nnQ i =Q i + ∆Q R ; Eqs. 2


    new Old

    From basic definition of friction factor; hfi = K i Q2i ;

    8fLi − ∑ K|Q|Q
    Ki = ; ∆Q i =
    π2 gD5i ∑ 2|Q|

    Pipe L(m) D(m) K Q KQ|Q| 2K|Q|

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