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FIG. 7 The relative volume of the spherical bubble cap and the total sphere changes as the contact angle changes, and becomes rapidly smaller as the contact angle increases above 90°. The work of formation of the nucleus correspondingly decreases, so that bubble nucleation becomes easier as the contact angle gets larger.
DOI link for FIG. 7 The relative volume of the spherical bubble cap and the total sphere changes as the contact angle changes, and becomes rapidly smaller as the contact angle increases above 90°. The work of formation of the nucleus correspondingly decreases, so that bubble nucleation becomes easier as the contact angle gets larger.
FIG. 7 The relative volume of the spherical bubble cap and the total sphere changes as the contact angle changes, and becomes rapidly smaller as the contact angle increases above 90°. The work of formation of the nucleus correspondingly decreases, so that bubble nucleation becomes easier as the contact angle gets larger.
ABSTRACT
The volume of the whole sphere is given by:
The volume of the spherical cap ABDC is:
Eliminating h gives