To resolve fluid flow problems, the Navier-Stokes equation can be utilized. Using the Navier-Stokes Equation to Solve Fluid Flow Problems Turbulent flow occurs at a relatively high value of Reynolds number, which means the kinematic viscosity of the turbulent fluid flow is less, and such fluids transport low momentum. Highly viscous fluids and low-density liquids are good examples of high momentum diffusion with low Reynolds number values. The increase in momentum transport or momentum diffusion in fluids accounts for more laminar flow regimes. The higher the kinematic viscosity, the more efficient the fluid becomes at transporting momentum. As the kinematic viscosity increases, the Reynolds number decreases and vice versa. Reynolds number is negatively influenced by kinematic viscosity. It describes the momentum the fluid in motion can transfer per volume. The kinematic viscosity is the normalized dynamic viscosity to density. There is a strong relationship between Reynolds number and kinematic viscosity, which we will examine next. When the kinematic viscosity value is known, the Reynolds number can be calculated using the equation in the middle. When the density and absolute or dynamic viscosity is known, the first equation on the right hand side of the above equation can be used. In the above equation, it is shown that both absolute or dynamic viscosity and kinematic viscosity are involved in the calculation of the Reynolds number. Commonly used units of kinematic viscosity are ft2/s and Stoke (St). The SI unit of kinematic viscosity is m2/s. Kinematic viscosity - The ratio of absolute or dynamic viscosity to density is called kinematic viscosity. It is an indicator of a fluid’s internal resistance to flow. Viscosity is the fluid’s resistance to flow, and expresses the measure of a fluid’s resistance to the slow deformation caused by shear or tensile stress.Ībsolute or dynamic viscosity - The absolute or dynamic viscosity measures the tangential force per unit area required to slide one horizontal layer with respect to another layer that is spaced at a unit distance in the fluid at a unit velocity. When a fluid is in motion, it experiences a resistance called shear resistance due to the inter-molecular friction between the layers of the fluid. In fluid dependent systems, viscosity influences the fluid behavior and fluid motion. Reynolds Number and the Viscosity of a Fluid Note that is the density of the fluid, is the velocity of the fluid, l is the characteristic length or hydraulic diameter of the fluid flow, is the dynamic or absolute viscosity of the fluid, and v is the kinematic viscosity of the fluid. Mathematically, the Reynolds number can be given by the following equation: It reveals the effect of fluid viscosity in controlling the flow pattern or velocity of the fluid. It can also be interpreted as the ratio of dynamic pressure to shearing stress. Reynolds number is the ratio of inertial forces to viscous forces, and this number categorizes fluid systems. Reynolds numbers with a value of less than 2300 indicate a laminar flow of the fluid. As the Reynolds number increases above 4000, the fluid flow becomes turbulent. When the Reynolds number is between 23, the fluid flow is transitional. Fluid can be gas or liquid, and the value of the Reynolds number determines whether the flow is laminar or turbulent. Generally, the Reynolds number is a dimensionless measurement that describes the degree of laminar or turbulent fluid flow. In this article, we will explore the relationship between the Reynolds number and the kinematic viscosity. Reynolds number is dependent on several fluid properties such as density, velocity, and viscosity, and this number shares an inversely proportional relationship with the kinematic and dynamic viscosity. The range of Reynolds numbers indicate the degree of laminar or turbulent flow. To identify the flow type, engineers depend on a dimensionless quantity called the Reynolds number. With these simulations, a clear understanding of the flow regime as well as its paths and velocities can be obtained. The flow behavior of such systems can be analyzed using computational fluid dynamics (CFD) simulations. In systems influenced by fluid flow, it is important to analyze the fluid dynamics in order to quantify their effect. The range of Reynolds numbers indicate the degree of laminar or turbulent flow Reynolds number is a dimensionless measurement that describes the degree of laminar or turbulent fluid flow.įluid viscosity can be measured as absolute or dynamic viscosity and kinematic viscosity.Īs the kinematic viscosity increases, the Reynolds number decreases and vice versa.
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↑ This card was used in the Big Five's virtual game to destroy a " Dragon Capture Jar" in episode 45.↑ This card was played as an Effect Monster.↑ This card is used to jam the gun of one of Pegasus' henchmen in episode 20.He also retained his Virus strategies, which he used against Ishizu, but he likely temporarily abandoned them in the manga after learning that his " Crush Card" strategy would be ineffective against "Ra." At the same time, he did not abandon his " Blue-Eyes White Dragons," often using them as either backup or a temporary replacement for "Obelisk," and including multiple methods to Summon them with the utilization of the ordinary twin-Tribute method. Kaiba is not limited to using his own monsters, however, making liberal use of " Soul Exchange" to use his opponent's monsters as the sacrifices he needed. Dark Marik described his Deck during his Duel with Yugi as a Power Deck designed to suppress the opponent with monsters while gathering sacrifices to Summon his God card. Seto's Battle City Deck is very similar to his anime Deck, and it also contains one Level 8 unnamed monster. His "Obelisk the Tormentor" is supported with " Soul Exchange", and if that fails, he implements parts of a Machine deck representing Kaiba's expertise in technology he mainly uses his " XYZ" monsters offensively until he is able to Summon "Obelisk". One of the main strategies in this Deck includes using " Crush Card Virus" and " Virus Cannon" to mill his opponents' Decks, while also attempting to Summon " Obelisk the Tormentor" for the finishing blow. In Battle City, Kaiba's Deck takes on several traits of a Virus Deck, which focuses on removing cards from his opponents' Decks and leaving them with limited options. Against Yugi he tries regaining Life Points or destroying the opponents cards to stall until he draws the right cards required for Summoning " Blue-Eyes Ultimate Dragon" for the final blow. His main plan consists of using " Saggi the Dark Clown" as bait, then use " Crush Card" to destroy the opponent's Deck. Notably, his signature card (through all seasons of the anime and manga) is the " Blue-Eyes White Dragon". Ghost Kaiba also utilized Kaiba's Deck and the Duel Computer also used some of his cards when Kaiba wanted to test his new Duel Disk system. Blue-Eyes White Dragon (a drawing made by Mokuba)ĭuring Duelist Kingdom, his Deck utilized various brutal appearing monsters to reflect his personality.4.12 World Championship Tournament 2008.4.11 World Championship Tournament 2007. 4.8 7 Trials to Glory: World Championship Tournament 2005.4.2 Worldwide Edition: Stairway to the Destined Duel.3.4 World Championship 2019 Special: Yugi vs.3.3 World Championship 2016 Special: Yugi vs.3.2 North American World Championship Qualifiers 2013.3.1 North American World Championship Qualifiers 2012. His later Decks still retain much of the aggressive beatdown strategies to wreak havoc upon his opponents with high ATK incorporated with Dragon-type support cards that contain inherent self-protection effects. His later Decks incorporate an array of Dragon and Dragon-Type support cards such as " Spirit Ryu", " Spear Dragon", " Luster Dragon #2", " Different Dimension Dragon", " Paladin of White Dragon", and " Chaos Emperor Dragon - Envoy of the End" while still maintaining "Blue Eyes White Dragon" and "Blue Eyes Ultimate Dragon" as his most aggressive boss monsters. In the later arcs, he incorporates " Virus" Trap Cards such as " Giant Germ", " Crush Card", and " Virus Cannon" that give it the traits of a Virus Control Deck and swarm Deck, destroying all monsters in his opponent's Deck with more than 1500 ATK, further crippling their ability to defend against him.Īs the series evolves, Kaiba's switches his focus towards Dragon-Type monsters. His monster lineup is spearheaded by his signature card, " Blue-Eyes White Dragon" and its Fusion form, " Blue-Eyes Ultimate Dragon". The Spells and Traps in his Deck normally serve to disrupt and counter any strategies his opponents would use. During the first several arcs of the Yu-Gi-Oh anime, his Deck is composed of vicious-looking monsters, with most of them being DARK Fiend-Type. Kaiba mainly runs Decks that centralize on a beatdown strategy to aggressively overwhelm his opponents with high ATK monsters. |
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