Question

Streamline flow is more likely for liquids with

• A. high density and high viscosity
• B. low density and low viscosity
• C. high density and low viscosity
• D. low density and high viscosity

Answer 1

Answer: (D)

low density and high viscosity

Answer 2

The correct option is D) The critical velocity (Vc) is directly proportional to the density (ρ) and the coefficient of viscosity (η) of the liquid. Reynolds' number (R) can be calculated using the formula R = (ρ.V.d) / μ, where ρ is the fluid density, V is velocity, d is a characteristic dimension, and μ is fluid viscosity.

• Streamline flow is more likely in liquids with low density.
• Higher viscosity in a liquid leads to a greater velocity gradient.
• Streamline flow is associated with a critical velocity.
• Critical velocity is the threshold at which the flow transitions from streamlined to turbulent.
• Below the critical velocity, the flow remains streamlined.
• Above the critical velocity, the flow becomes turbulent.

Option A) A high density and viscosity result in a high Reynolds number, indicating turbulent flow.
Option B) Low density and viscosity lead to a high Reynolds number, indicating turbulent flow.
Option C) Low viscosity and high-density results in a high Reynolds number, indicating turbulent flow.
Option D) High viscosity and low-density result in a low Reynolds number, indicating streamline flow.

Therefor Option D is the correct answer.

Discover More From Chapter:Mechanical Properties of Fluids