Mechanical Operations

Q1: Laminar flow region is said to exist during agitation of a liquid in an agitator, when the value of Reynolds number is

A >10

B <10

C >100

D <100

ANS:B - <10

Laminar flow in the context of agitation of a liquid in an agitator occurs when the Reynolds number (ReReRe) is less than 10.

Explanation:

  • Reynolds Number (ReReRe): This dimensionless number is used to predict flow patterns in different fluid flow situations. It is defined as: Re=ρ⋅v⋅DμRe = \frac{\rho \cdot v \cdot D}{\mu}Re=μρ⋅v⋅D​ Where:
    • ρ\rhoρ is the density of the fluid,
    • vvv is the velocity of the fluid relative to the object,
    • DDD is a characteristic linear dimension (diameter for a pipe or agitator),
    • μ\muμ is the dynamic viscosity of the fluid.
  • Laminar Flow: Laminar flow is characterized by smooth, orderly fluid motion in parallel layers, with little or no mixing between layers. This occurs at low Reynolds numbers.
  • Transition to Turbulent Flow: Turbulent flow typically begins to develop at Reynolds numbers greater than 2000 for flow in a straight pipe. For flow in an agitator, the transition from laminar to turbulent flow can vary but generally occurs around Reynolds numbers greater than 10.
  • Specific to Agitation in Agitators: In the context of agitation in an agitator:
    • Laminar flow is observed when the Reynolds number is below 10.
    • Turbulent flow starts to develop as the Reynolds number exceeds this threshold, typically around 10 to 100 depending on the specific design and conditions of the agitator.
Therefore, laminar flow exists during agitation in an agitator when the Reynolds number is less than 10, indicating smooth and orderly fluid motion within the agitator.



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