Physics 1029A/B Chapter Notes -Semipermeable Membrane, The Fluid, Electric Field

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Pascal"s law states the difference between the pressures at two different positions in a fluid of constant density is proportional to the vertical distance between these two positions. The proportionality factor is the product of the density of the fluid and the gravitational acceleration. Archimede"s principle: when an object is immersed in a fluid, the fluid exerts an upward force on the object equal to the weight of the fluid displaced by the object. Laplace"s law states that the pressure difference between the inside and the outside of a fluid with a curved surface is inversely proportional to the radius of curvature of the curved surface. This means that a smaller bubble, droplet, or cylinder has a larger pressure difference p. Laminar flow is established when (i) flow lines in the fluid never cross each other, and (ii) flow tubes never penetrate each other.

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