d-square law

The d-square law or $d^{2}$ -law is a relationship between diameter and time for an isolated, spherical droplet when it evaporates quasi-steadily, which was first observed by Boris Sreznevsky in 1882,^[1] and was explained by Irving Langmuir in 1918.^[2] If $d(t)$ and $t$ are the droplet diameter and time, then $d^{2}$ -law pertains to the relation^[3]^[4]

d_{0}^{2}-d^{2}=K(t-t_{0}),

where $t_{0}$ is the initial time, $d_{0}=d(t_{0})$ is the initial droplet diameter and $K$ is called the evaporation constant.

References

^ Sreznevsky, B. I. (1882). About evaporation of liquids. Journal of the Russian Physical Chemistry Society, ZhRFKhO, 14(8).
^ Langmuir, I. (1918). The evaporation of small spheres. Physical review, 12(5), 368.
^ Williams, F. A. (2018). Combustion theory. CRC Press. Chapter 3
^ Liñán, A., & Williams, F. A. (1993). Fundamental aspects of combustion. Oxford university press.

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[1] Sreznevsky, B. I. (1882). About evaporation of liquids. Journal of the Russian Physical Chemistry Society, ZhRFKhO, 14(8).

[2] Langmuir, I. (1918). The evaporation of small spheres. Physical review, 12(5), 368.

[3] Williams, F. A. (2018). Combustion theory. CRC Press. Chapter 3

[4] Liñán, A., & Williams, F. A. (1993). Fundamental aspects of combustion. Oxford university press.

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