Water Resources·MCQ explained

Apart from inertial force, which of the following forces is most important in motion of submarines under water?

Try it first: pick an option, then read the explanation.

Correct answer: A. Viscous force

Asked in SSC JE 2 MARCH 2017 Morning Shift

Detailed Explanation

Hydrodynamic forces on submerged vehicles depend on whether the vehicle operates on the free surface or deeply beneath it. Free-surface wave generation is governed by Froude number, whereas submerged resistance is governed by Reynolds number.

Why “Viscous force” Is Correct

When a submarine is deeply submerged, there are no surface gravity waves created at the air-water interface. The primary resistance opposing motion is skin friction and wake turbulence, making viscous force the dominant governing force.

Why the Other Options Are Wrong

  • B. Gravity force: Gravity forces govern surface waves and are dominant for surface vessels (Froude model law), not deeply submerged submarines.
  • C. Compressive force: Compressive forces are negligible because water is practically incompressible at submarine cruising depths.
  • D. Surface tension force: Surface tension is negligible for large-scale engineering vessels (Weber number >> 1).

Key Point

Deeply submerged bodies (submarines, torpedoes) are governed by viscous forces and Reynolds number similarity.

Key Concepts for Students

  • Reynolds number Re = ρVL / μ represents the ratio of inertial force to viscous force.
  • Surface ships require Froude scaling; deeply submerged submarines require Reynolds scaling.
  • Form drag and skin friction drag both originate from fluid viscosity.

Practice more: this is question 50 in Properties of Fluid MCQs – Part 4. Try the whole set and check every answer instantly.