Why falling water drops become spherical in shape Select the primary physical reason that small falling water droplets assume a nearly spherical shape.

Difficulty: Easy

Correct Answer: surface tension minimizing surface area

Explanation:


Introduction / Context:
Naturally forming droplets (rain, sprays) are commonly spherical when small. Understanding the dominant force helps in atomization, nozzle design, and environmental modeling.



Given Data / Assumptions:

  • Small droplets where aerodynamic deformation and inertia are modest.
  • No electric fields or surfactants altering interfacial properties.


Concept / Approach:
A liquid surface possesses surface tension, an energetic penalty per unit area. For a given volume, the sphere has the minimum surface area. Therefore, surface tension drives a free droplet to become spherical to minimize total surface energy. Cohesion is the molecular origin of surface tension, but the macroscopic effect selecting the sphere is specifically surface tension.



Step-by-Step Solution:

Identify governing forces for a free droplet: inertia, gravity, aerodynamic drag, and surface tension.For small radii, Weber number We = ρ V^2 L / σ is small → surface tension dominates.Surface energy E_s = σ * area is minimized by a sphere for fixed volume.


Verification / Alternative check:
As drops grow larger or fall faster, they deviate from sphericity (oblate shapes, breakup) when We increases, confirming the role of surface tension vs inertia.



Why Other Options Are Wrong:
Adhesion pertains to unlike materials (liquid/solid/air interfaces) and is not the primary cause; viscosity resists rate of deformation but does not set the equilibrium shape; “cohesion” is microscopic—surface tension is the correct macroscopic descriptor.



Common Pitfalls:
Assuming all raindrops are spherical regardless of size; large raindrops become distorted and may break.



Final Answer:
surface tension minimizing surface area

More Questions from Hydraulics

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion