Stoke s Law and Settling Particles

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Terminal Velocity of Settling Particle. Rate at which discrete particles settle in a fluid at constant temperature is given by Newton's equation: vs = [(4g(?s - ?)dp) / (3Cd ?)] 0.5wherevs= terminal settling velocity (m/s)g = gravitational constant (m/s2)?s = density of the particle

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Stoke s Law and Settling Particles

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1. Stoke’s Law and Settling Particles Lecture 12 – MINE 292 - 2012

2. Terminal Velocity of Settling Particle Rate at which discrete particles settle in a fluid at constant temperature is given by Newton’s equation: vs = [(4g(?s - ?)dp) / (3Cd ?)] 0.5 where vs = terminal settling velocity (m/s) g = gravitational constant (m/s2) ?s = density of the particle (kg/m3) ? = density of the fluid (kg/m3) dp = particle diameter (m) Cd = Drag Coefficient (dimensionless) The terminal settling velocity is derived by balancing drag, buoyant, and gravitational forces that act on the particle.

3. Reynolds Number In fluid mechanics, the Reynolds Number, Re (or NR), is a dimensionless number that is the ratio of inertial forces to viscous forces. It quantifies the relative importance of these two types of forces for a given set of flow conditions.

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