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20 March, 17:16

Liquid methyl ethyl ketone (mek) flows through a pipe with an inner diameter of 2.067 inches at an average velocity of 0.48 ft/s. at the fluid temperature of 20°c the density of liquid mek is 0.805 g/cm3 and the viscosity is 0.43 centipoise [1 cp 1:00 103 kg / m s]. without using a calculator, determine whether the flow is laminar or turbulent. show your calculations.

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  1. 20 March, 19:59
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    Turbulent

    Explanation:

    The Reynolds number is:

    Re = ρvL/μ

    where ρ is the fluid density,

    v is the velocity,

    L is the characteristic length (for pipe, it's the diameter),

    and μ is the dynamic viscosity.

    Given:

    ρ = 0.805 g/cm³

    v = 0.48 ft/s = 14.63 cm/s

    L = 2.067 in = 5.250 cm

    μ = 0.43 cp = 0.0043 g/cm/s

    Re = (0.805 g/cm³) (14.63 cm/s) (5.250 cm) / (0.0043 g/cm/s)

    Re ≈ 14400

    Flow is considered turbulent if the Reynolds number is greater than 4000. So this is turbulent.
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