For laminar flow, Prandtl number must be more thana)0.05b)0.2c)0.6d)0....
It must be more than 0.6. It is indicative of the relative ability of the fluid to diffuse momentum and internal energy by molecular mechanisms.
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For laminar flow, Prandtl number must be more thana)0.05b)0.2c)0.6d)0....
Prandtl number is an important dimensionless quantity in fluid mechanics that describes the ratio of momentum diffusivity to thermal diffusivity. It is defined as the ratio of the kinematic viscosity to the thermal diffusivity of a fluid.
Prandtl number (Pr) = μCp/k
Where,
μ = dynamic viscosity of the fluid
Cp = specific heat capacity of the fluid at constant pressure
k = thermal conductivity of the fluid
For laminar flow, the Prandtl number must be more than 0.6. This is because laminar flow is characterized by smooth, predictable flow patterns, and low levels of turbulence. In order for a fluid to exhibit laminar flow, it must have a high enough Prandtl number to resist the formation of turbulence.
Explanation:
• Laminar flow is a type of fluid flow characterized by smooth, predictable flow patterns, and low levels of turbulence.
• The flow of a fluid can be characterized by a number of dimensionless quantities, including the Reynolds number and the Prandtl number.
• The Reynolds number describes the ratio of inertial forces to viscous forces in a fluid and is used to predict the onset of turbulence in a fluid flow.
• The Prandtl number, on the other hand, describes the ratio of momentum diffusivity to thermal diffusivity in a fluid and is used to predict the behavior of heat transfer in a fluid flow.
• In order for a fluid to exhibit laminar flow, it must have a high enough Prandtl number to resist the formation of turbulence.
• For most fluids, a Prandtl number of 0.6 or higher is required for laminar flow to occur. This is because fluids with low Prandtl numbers are more prone to turbulence and mixing, which can disrupt the smooth flow patterns characteristic of laminar flow.
• For example, air has a Prandtl number of approximately 0.7, which is why laminar flow is often observed in air flows at low velocities.
• By contrast, liquids like water and oil typically have higher Prandtl numbers, which means they are more likely to exhibit laminar flow at lower velocities than air.