Question
Download Solution PDFWhat is the height of the fluid raise (h), when the capillary with the diameter (d) is dipped in the fluid having a density (\(\rho\)) and surface tension (\(\sigma \))?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The capillary tension causes the fluid to rise against the gravitational force, thus creating a capillary zone.
Capillarity or capillary action is the ability of a narrow tube to draw a liquid upwards against the force of gravity. The height of the liquid in a tube due to capillarity is expressed in m.
By knowing the surface tension σ, angle of contact ϴ, tube diameter d, and specific weight w the rise/depression of the liquid in the capillary tube can be analyzed.
\(h = \frac{{4\sigma cos\theta }}{{\rho gd}}\)
\(h=\frac{{4\sigma \cos \theta }}{{\rho gd}} \Rightarrow h\propto \frac{1}{d}\)
Important Points
For the plate,
\(\mathrm{h}=\frac{2\sigma \cos \theta}{\rho g \mathrm{~t}}\)
where, t = distance between the two plates
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