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The capillary length or capillary constant is a length scaling factor that relates gravity and surface tension. It is a fundamental physical property that governs the behavior of menisci, and is found when body forces (gravity) and surface forces ( Laplace pressure ) are in equilibrium.
ρ is the mass density (mass per unit volume); r 0 is the tube radius; g is the gravitational acceleration. It is only valid if the tube is cylindrical and has a radius (r 0) smaller than the capillary length (= / ()). In terms of the capillary length, the law can be written as
Capillary hydrostatic pressure P c = 0.2 × Arterial Pressure + Venous Pressure 1.2 25mmHg (arteriolar end) 10mmHg (venous end) P i: Tissue interstitial pressure Determined by the compliance of tissue Compliance = volume/Δ pressure Varies by location ≅ −6 mmHg Π c: Capillary oncotic pressure Measured across semipermeabel membrane
In fluid statics, capillary pressure is the pressure between two immiscible fluids in a thin tube (see capillary action), resulting from the interactions of forces between the fluids and solid walls of the tube. Capillary pressure can serve as both an opposing or driving force for fluid transport and is a significant property for research and ...
The capillary length is a length scaling factor that relates gravity, density, and surface tension, and is directly responsible for the shape a droplet for a specific fluid will take. The capillary length stems from the Laplace pressure, using the radius of the droplet. Using the capillary length we can define microdrops and macrodrops.
where is the sum over the participating pressures, such as the atmospheric pressure , the hydrostatic pressure and the equivalent pressure due to capillary forces . η {\displaystyle \eta } is the viscosity of the liquid, and ϵ {\displaystyle \epsilon } is the coefficient of slip, which is assumed to be 0 for wetting materials.
The rate at which fluid is filtered across vascular endothelium (transendothelial filtration) is determined by the sum of two outward forces, capillary pressure and interstitial protein osmotic pressure (), and two absorptive forces, plasma protein osmotic pressure and interstitial pressure (). The Starling equation describes these forces in ...
Isotherms of an ideal gas for different temperatures. The curved lines are rectangular hyperbolae of the form y = a/x. They represent the relationship between pressure (on the vertical axis) and volume (on the horizontal axis) for an ideal gas at different temperatures: lines that are farther away from the origin (that is, lines that are nearer to the top right-hand corner of the diagram ...