Kinematic viscosity units fluid dynamics1/17/2024 ![]() ![]() In the field of fluid mechanics and materials science, viscosity is a key physical property that describes the flow properties of liquid or semisolid substances. Українська /uk/gain-insight-into-kinematic-and-dynamic-viscosity/.Türkçe /tr/gain-insight-into-kinematic-and-dynamic-viscosity/.ภาษาไทย /th/gain-insight-into-kinematic-and-dynamic-viscosity/.Cрпски језик /sr/gain-insight-into-kinematic-and-dynamic-viscosity/.Русский /ru/gain-insight-into-kinematic-and-dynamic-viscosity/.Română /ro/gain-insight-into-kinematic-and-dynamic-viscosity/.Português /pt/gain-insight-into-kinematic-and-dynamic-viscosity/.한국어 /ko/gain-insight-into-kinematic-and-dynamic-viscosity/.日本語 /ja/gain-insight-into-kinematic-and-dynamic-viscosity/.Italiano /it/gain-insight-into-kinematic-and-dynamic-viscosity/.Bahasa Indonesia /id/gain-insight-into-kinematic-and-dynamic-viscosity/.עברית /he/gain-insight-into-kinematic-and-dynamic-viscosity/.Deutsch /de/gain-insight-into-kinematic-and-dynamic-viscosity/.Français /fr/gain-insight-into-kinematic-and-dynamic-viscosity/.Wikang Filipino /fil/gain-insight-into-kinematic-and-dynamic-viscosity/.Nederlands /nl/gain-insight-into-kinematic-and-dynamic-viscosity/.Čeština /cs/gain-insight-into-kinematic-and-dynamic-viscosity/.中文(简体) /zh/gain-insight-into-kinematic-and-dynamic-viscosity/.العربية /ar/gain-insight-into-kinematic-and-dynamic-viscosity/.English /gain-insight-into-kinematic-and-dynamic-viscosity/.A similar approach can be taken for the scaled-down model (i.e. Substituting variables by provided values will provide important characteristics data for the fluid and flow characteristics for the scaled-up model. The above equation can be written for artery as,Īt the condition of Kinematic Similarity, ![]() We can also change the velocity of the fluid to maintain the same dynamic characteristics. To keep the Reynolds number the same, the scaled-up model can use a different fluid with different viscosity or density. There are few ways to maintain kinematic similarity. Ʋ = Kinematic viscosity ( SI units: m 2/s) Μ = Dynamic viscosity ( SI units: N s/m 2) L = Characteristic length or diameter ( SI units: m) V = Velocity of the fluid ( SI units: m/s) Ρ = Density of the fluid ( SI units: kg/m 3) ![]() There are other dimensionless numbers that will also come into consideration, such as Womersley number Example Īssume we need to make a scaled up model of coronary artery with kinematic similarity. For example, Reynolds number of the model and the prototype must match. To achieve kinematic similarity in a scaled model, dimensionless numbers in fluid dynamics come into consideration. geometrical similarity) and, in addition, a similarity of the time interval. Since motions can be expressed with distance and time, it implies the similarity of lengths (i.e. The kinematic similarity is the similarity of the motion of the fluid. In fluid mechanics, kinematic similarity is described as “the velocity at any point in the model flow is proportional by a constant scale factor to the velocity at the same point in the prototype flow, while it is maintaining the flow’s streamline shape.” Kinematic Similarity is one of the three essential conditions ( Geometric Similarity, Dynamic Similarity and Kinematic Similarity) to complete the similarities between a model and a prototype.
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