Question 12 10 marks 12a the parameter grre2 referred to as...

Question 1.2 [10 marks] 1.2a The parameter Gr/Re2 referred to as Archimedes’ or Richardson’ number represents the importance of natural convection relative to force convection in combined convection. Using the parameter Gr/Re2 under what condition is a) neither is negligible b) forced convection is negligible and c) natural convection is negligible. [3 marks]

In fluid mechanics, the Reynolds number (Re) is a DIMENSIONLESS number that gives a measure of the ratio of inertial force to viscous force and consequently quantifies the relative importance of these two types of forces for given flow conditions. The inertial force is proportional to the density of the fluid (ρ), the feature size of the system (L), and the flow speed of the fluid (V). The viscous force is defined as the product of the dynamic viscosity of the fluid (μ) and the velocity gradient (du/dy). In the viscous and viscous force equations, ρ is the density of the fluid, L is the feature size of the system, V is the flow speed of the fluid, and μ is the dynamic viscosity of the fluid. The symbol "/" stands for division. The SI unit of ρ is kilograms per cubic meter (kg/m^3). (6) Using scaling law analysis, explain how the Reynolds number changes with L. When the Reynolds number is very small, which kind of phenomena can occur?

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