GATE AG 2011 • Q16 MCQ • 1 Mark

Section 2: Farm Machinery

Farm Machinery

Subtopic: Functional requirements, principles of working, construction and operation of manual, animal, tractor and renewable energy operated equipment for tillage, sowing, planting, fertilizer application, inter-cultivation, spraying, mowing, chaff cutting, harvesting and threshing

Question Statement:

The Sauter mean diameter of liquid droplets of a hydraulic spray is

Options:

  • (A) median diameter of droplets
  • (B) surface area of droplets
  • (C) mean diameter of droplets
  • (D) volume to surface ratio of droplets

Official Answer Key:

D

Step-by-Step Solution & Explanation

The Sauter mean diameter (D₃₂) is defined as the diameter of a hypothetical droplet whose volume-to-surface-area ratio equals that of the entire droplet population — i.e. D₃₂ = 6×(total volume)/(total surface area), effectively a volume-to-surface ratio (scaled by 6). This makes it especially meaningful for spray-deposition and evaporation calculations where surface-to-volume behaviour matters. It is neither the arithmetic mean diameter (C) nor the median diameter (A, the diameter that splits the population in half), so option (D) is correct.

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