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Chemical Engineering Basics - Engineering

Q1:

In fluid flow, and heat and mass transfer, one encounters (i) kinematic velocity (μ), (ii) molecular diffusivity (θ) and thermal diffusivity (α). The units of these quantities are.

A μ , α and θ all have units of m/s.

B μ , α and θ all have units of m2/s.

C α and θ have units of m2/s, while μ has unit of m/s.

D α and θ have units of m/s, while μ has unit of m2/s.

ANS:C - α and θ have units of m2/s, while μ has unit of m/s.

Among the provided options, the correct statement is: α and θ have units of m²/s, while μ has a unit of m/s. Explanation:

  • Kinematic velocity (μ) measures the velocity of a fluid particle per unit of its kinematic viscosity, and its unit is meters per second (m/s).
  • Molecular diffusivity (θ) and thermal diffusivity (α) both have units of square meters per second (m²/s). These parameters describe the rate at which molecules or heat diffuse through a fluid or solid medium, respectively.
Therefore, the correct statement is that α and θ have units of m²/s, while μ has a unit of m/s.