Determine the terminal settling velocity of a particle having a density of 2540 kg/m3 and a...

Determine the terminal settling velocity of a particle having a density of 2540 kg/m3 and a diameter of 10 mm in water having a temperature of 10C. You may assume that the particle is a perfect sphere (shape factor = 1). What would be the settling velocity for the same particle if the water temperature decreased to 5C?

Solutions

Expert Solution

We apply the formula of terminal velocity in fluids:

where:

= sphere density

= density of medium

g = gravity

= medium viscosity

We notice that we need viscosity of water at 5C and 10C and that those are not given in the problem so let´s look for on the internet.

= .001307 kg/ (s * m) at 10C

= .001518 kg/ (s * m) at 5C

If we apply the equation we can see that the terminal velocity at 5C is = 55.3 m/s

terminal velocity at 10C is = 64.24 m / s

queen_honey_blossom answered 1 year ago

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