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Physics · Ch 7 — Properties of Matter

Capillarity

7.5.6

Capillarity

The word 'capilla' means hair in Latin, and a tube with a very fine, hair-thin bore is accordingly called a CAPILLARY TUBE. When a glass capillary tube, open at both ends, is dipped vertically into water, the water inside the tube rises ABOVE the level of the water in the surrounding vessel; when the same kind of tube is dipped into mercury instead, the liquid inside the tube is DEPRESSED BELOW the level of the mercury outside. In general, a liquid whose angle of contact with the solid tube is LESS than 90 degrees undergoes CAPILLARY RISE (as water does in glass), while a liquid whose angle of contact is GREATER than 90 degrees undergoes CAPILLARY FALL (as mercury does in glass). This rise or fall of a liquid inside a narrow tube is called CAPILLARITY or CAPILLARY ACTION, and the exact height risen or fallen depends on the diameter of the capillary tube -- a finer tube produces a larger rise or fall (as the next section derives quantitatively). The full range of behaviour, classified by contact angle, is: a contact angle of exactly zero degrees (perfect wetting -- weak cohesive force, strong adhesive force) gives a flat (plane) meniscus with neither rise nor depression; a contact angle less than 90 degrees (still weak cohesion, strong adhesion, but not perfect wetting) gives a concave meniscus and a capillary RISE (water in glass being the standard example); and a contact angle greater than 90 degrees (strong cohesion, weak adhesion, low wetting) gives a convex meniscus and a capillary FALL (mercury in glass being the standard example). PRACTICAL APPLICATIONS OF CAPILLARITY include: oil rising up through the cotton wick of an earthen (clay) oil lamp; sap rising from a plant's roots, up through its …

Figure 7.29Capillary rise or fall

What this figure shows. Two narrow glass capillary tubes are dipped into two separate open dishes, one containing water and the other containing mercury. In the water tube, the liquid inside visibly climbs up above the level of the water in the surrounding dish, a positive rise labelled delta-h; in the mercury tube, the liquid inside is visibly depressed below the level of the mercury in the surrounding dish, a negative rise (fall) also labelled delta-h -- the figure is the side-by-side contrast that motivates why capillary behaviour can be either a rise …

Figure 7.30Contact angle for different liquid-solid pairs

What this figure shows. Three small sketches compare the shape of a liquid surface where it meets a solid for three different pairs: (a) water on a silver surface, where the liquid surface curves up only slightly at the wall, giving a small acute contact angle; (b) water on a glass plate, where the liquid surface curves up strongly into a markedly concave meniscus, giving a small contact angle close to zero and a large capillary rise; and (c) mercury on a glass plate, where the liquid surface curves DOWN into a convex meniscus, giving an obtuse contact angle greater than 90 degrees and …

Table 7.4Capillary rise and fall for different contact angles
Contact angle θ\thetaCohesive forceAdhesive forceDegree of wettingMeniscusRise or fall of liquid
θ=0\theta=0 (A)WeakStrongPerfect wettingPlaneNeither rises nor is depressed
θ<90°\theta<90° (B)WeakStrongHighConcaveRise of liquid