Stokes’ law：Equation of motion for a settling spherical particle
トピックアウトライン
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10秒程度で等速になる Constant velocity in about 10 seconds.
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Equation of motion of an object in fluid
慣性力 Inertia Force
重力 Gravity
浮力 Buoyancy
抵抗力 Resistance Force
投影面積 Projected area
流体の抵抗係数 Resistance coefficient of fluid
時間 Time
速度 Velocity
体積 Volume
流体の密度 Density of fluid
粒子の密度 Density of particles
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Particle motion：Stokes' law
terminal settling velocity：ut (Terminal Velocity)
When fine particles are added to a stationary fluid, they initially accelerate, but soon reach a constant velocity. This velocity is the "terminal settling velocity."
粒子の密度 Density of particles流体の密度 Density of fluid
流体の粘度 Viscosity of fluid
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Equation of motion for spherical particles in fluid
慣性力 Inertia Force
重力 Gravity
浮力 Buoyancy
抵抗力 Resistance Force
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Resistance coefficient and Reynolds number
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Reynolds number，Re（Indicator of fluid flow condition）
粒子の直径 Particle diameter相対速度 Relative velocity
流体の密度 Density of fluid
流体の粘度 Viscosity of fluid
慣性力 Inertial force
重力 Gravity
浮力 Buoyancy
抵抗力 Resistance force
終末速度(等速) Terminal velocity (constant velocity)
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Stokes' law
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We have verified by calculation that it takes about 10 seconds to reach constant velocity.
体重を70kgとして、投影面積を上記のように仮定すると Assuming a weight of 70 kg and the projected area as above
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Thickener Tank
粒子を含む流体 Fluid containing particles
底に到達するまでの時間 Time to reach the bottom
底に到達するまでの距離 Distance to the bottom
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We want to remove all particles with a terminal settling velocity of 0.1 m/s or greater from the settling tank shown above. Find the distance L (m) from the water inlet to the drain that is required for this operation.
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Cyclone
Principle invented by M.O. Morse in the U.S. in 1886
Centrifugal force knocks particles against the wall to separate them
Fluid containing particles
Fluid
Particles
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Cyclone at a fishmeal drying plant at the foot of Mt.Komagatake
Standing beside him is Dr. Maruyama of Physical Chemistry
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