The ratio of the inertial force Fg and the viscous force (internal friction force) Fm at the time of fluid flow is referred to as the Reynolds number. Represented by the symbol Re. Re is a dimensionless quantity.
Similar quasi-numbers for the characterization of viscous effects in fluid mechanics. Named after commemorating O. Renault, denoted Re. Re = ÏvL / μ, Ï, μ for the fluid density and dynamic viscosity, v, L for the flow of the characteristic speed and characteristic length. External flow problems, v, L generally take the far flow velocity and the main dimensions of the object (such as the length of the wings or the diameter of the ball) far away from the front; the inflow problem takes the average flow velocity and the channel diameter in the channel.
The Reynolds number represents the ratio of the inertial force acting on the fluid micelle to the viscous force [1]. If the Reynolds numbers of two geometrically similar flow fields are equal, the ratio of inertial forces to viscous forces of the corresponding microclusters is equal. The smaller the Reynolds number, the more significant the influence of the viscous force, and the larger the Reynolds number, the more significant the influence of the inertial force. The Reynolds number is small (such as the flow in the lubricating film) and its viscosity affects the full flow field. Reynolds number flow (such as the flow around the general aircraft), its viscosity effect is only important in the boundary layer or trails near the object surface. Reynolds number is the main similarity criterion in hydrodynamic experiments involving viscosity effects. However, the Reynolds number of many model experiments is much smaller than the real Reynolds number. Therefore, it is important to study the correction method and develop high Reynolds number experimental equipment.
When measuring the fluid flow in a tube, it is often necessary to understand the flow state, flow velocity distribution, and the like. The Reynolds number is an important parameter that characterizes the fluid flow characteristics.
The ratio of the inertial force Fg and the viscous force (internal friction force) Fm at the time of fluid flow is referred to as the Reynolds number. Represented by the symbol Re. Re is a dimensionless quantity.
The small Reynolds number means that the viscous force between the mass points plays a major role in fluid flow. Each mass point of the fluid flows in a regular manner parallel to the inner wall of the pipeline and is in a laminar flow state. Reynolds number is large, which means that the inertial force is dominant, and the fluid is in a turbulent flow state. The general Reynolds number is less than 2000 for laminar flow, Re> 4000 for turbulent flow, and Re = 2000 to 4000 for transitional state.
In different flow conditions, the fluid's motion and flow velocity distribution are different. Therefore, the ratio of the average flow velocity of the fluid in the pipeline to the maximum flow velocity Ï…max is also different. Therefore, the Reynolds number determines the flow characteristics of the viscous fluid.
When the external conditions are geometrically similar (geometrically similar tubes, fluids flowing through geometrically similar objects, etc.), if their Reynolds numbers are equal, the fluid flow states are also geometrically similar (hydrodynamic similarities). This similar law is the basis for the standardization of flow measurement throttling devices.
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