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For laminar flow of a liquid metal over a flat plate, the thicknesses of velocity and thermal boundary layers are δv and δt respectively. Kinematic viscosity of liquid metal is significantly lower than its thermal diffusivity. Based on this information, pick the correct option given below. (Note: Temperature of liquid metal is different from that of the plate)
  • a)
    δv < />t
  • b)
    δv > δt
  • c)
    δv = δt
  • d)
    Insufficient data
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
For laminar flow of a liquid metal over a flat plate, the thicknesses...
Explanation:

Boundary Layer Theory

Boundary layer theory is a concept in fluid mechanics that describes the behavior of a fluid near a solid surface. It is used to determine the thickness of the layer of fluid near the solid surface, where the velocity of the fluid is affected by the friction between the fluid and the solid surface.

Velocity and Thermal Boundary Layers

In laminar flow of a liquid metal over a flat plate, there are two types of boundary layers - velocity boundary layer and thermal boundary layer. The thickness of the velocity boundary layer is denoted by δv, and the thickness of the thermal boundary layer is denoted by δt.

Kinematic Viscosity and Thermal Diffusivity

Kinematic viscosity is a measure of a fluid's resistance to flow under the influence of gravity. It is defined as the ratio of dynamic viscosity to density. Thermal diffusivity is a measure of a material's ability to conduct heat. It is defined as the ratio of thermal conductivity to the product of density and specific heat capacity.

Comparison of Kinematic Viscosity and Thermal Diffusivity

In this question, it is given that the kinematic viscosity of liquid metal is significantly lower than its thermal diffusivity. This means that the liquid metal is better at conducting heat than it is at flowing under the influence of gravity.

Answer

Based on the given information, the correct option is A - δv t. This is because the thermal boundary layer is thicker than the velocity boundary layer due to the higher thermal diffusivity of the liquid metal.
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Community Answer
For laminar flow of a liquid metal over a flat plate, the thicknesses...
Thermal diffusivity (α) >> Kinematic viscosity (v)
Prandtl number (Pr) = v/α [∴ α >> v]
Pr < />
δvt ≃ (Pr)1/3
Pr < 1="" />v< />t
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For laminar flow of a liquid metal over a flat plate, the thicknesses of velocity and thermal boundary layers are δv and δt respectively. Kinematic viscosity of liquid metal is significantly lower than its thermal diffusivity. Based on this information, pick the correct option given below. (Note: Temperature of liquid metal is different from that of the plate)a)δv tb)δv > δtc)δv = δtd)Insufficient dataCorrect answer is option 'A'. Can you explain this answer?
Question Description
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