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Reynolds number for a ship: dependence on velocity and length For a ship moving in water, consider Reynolds number Re = (V × L) / ν, where V is velocity, L is a characteristic length and ν is kinematic viscosity. Complete the statement about how Re varies with the ship's velocity and length.

Q: Reynolds number for a ship: dependence on velocity and length For a ship moving in water, consider Reynolds number Re = (V × L) / ν, where V is velocity, L is a characteristic length and ν is kinematic viscosity. Complete the statement about how R…

Concept/Approach Reynolds number in external flows is Re = V L / ν. Holding ν fixed (same fluid and temperature), Re increases linearly with both V and L. Final Answer Proportional to both velocity and length

Difficulty: Easy

Proportional to both velocity and length
Inversely proportional to both velocity and length
Independent of velocity but proportional to length
Proportional to velocity but independent of length

Correct Answer: Proportional to both velocity and length

Explanation:

Concept/Approach

Reynolds number in external flows is Re = V L / ν. Holding ν fixed (same fluid and temperature), Re increases linearly with both V and L.

Reynolds number for a ship: dependence on velocity and length For a ship moving in water, consider Reynolds number Re = (V × L) / ν, where V is velocity, L is a characteristic length and ν is kinematic viscosity. Complete the statement about how Re varies with the ship's velocity and length.

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