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Similitude (model)

Index Similitude (model)

Similitude is a concept applicable to the testing of engineering models. [1]

47 relations: Aerospace engineering, Base unit (measurement), Buckingham π theorem, Computer simulation, Continuum mechanics, Density, Dimensional analysis, Dimensionless quantity, Dynamic similarity (Reynolds and Womersley numbers), Engineering, Fluid, Fluid dynamics, Fluid mechanics, Force, Formula, Free body diagram, Froude number, Gear train, Heat capacity ratio, Helium, Hubert Chanson, Hydraulics, International System of Units, Kilogram, Kinematics, Length, Mach number, Metre, Newton (unit), Pascal (unit), Physical model, Prandtl number, Pressure, Pressure coefficient, Reynolds number, Scale (ratio), Second, Similarity (geometry), Similitude of ship models, Speed, Strouhal number, Submarine, Temperature, Velocity, Viscosity, Weber number, Womersley number.

Aerospace engineering

Aerospace engineering is the primary field of engineering concerned with the development of aircraft and spacecraft.

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Base unit (measurement)

A base unit (also referred to as a fundamental unit) is a unit adopted for measurement of a base quantity.

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Buckingham π theorem

In engineering, applied mathematics, and physics, the Buckingham theorem is a key theorem in dimensional analysis.

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Computer simulation

Computer simulation is the reproduction of the behavior of a system using a computer to simulate the outcomes of a mathematical model associated with said system.

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Continuum mechanics

Continuum mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass rather than as discrete particles.

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Density

The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.

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Dimensional analysis

In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric charge) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed.

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Dimensionless quantity

In dimensional analysis, a dimensionless quantity is a quantity to which no physical dimension is assigned.

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Dynamic similarity (Reynolds and Womersley numbers)

In fluid mechanics, dynamic similarity is the phenomenon that when there are two geometrically similar vessels (same shape, different sizes) with the same boundary conditions (e.g., no-slip, center-line velocity) and the same Reynolds and Womersley numbers, then the fluid flows will be identical.

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Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

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Fluid

In physics, a fluid is a substance that continually deforms (flows) under an applied shear stress.

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Fluid dynamics

In physics and engineering, fluid dynamics is a subdiscipline of fluid mechanics that describes the flow of fluids - liquids and gases.

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Fluid mechanics

Fluid mechanics is a branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them.

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Force

In physics, a force is any interaction that, when unopposed, will change the motion of an object.

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Formula

In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.

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Free body diagram

In physics and engineering, a free body diagram (force diagram, or FBD) is a graphical illustration used to visualize the applied forces, movements, and resulting reactions on a body in a given condition.

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Froude number

In continuum mechanics, the Froude number is a dimensionless number defined as the ratio of the flow inertia to the external field (the latter in many applications simply due to gravity).

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Gear train

A gear train is a mechanical system formed by mounting gears on a frame so the teeth of the gears engage.

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Heat capacity ratio

In thermal physics and thermodynamics, the heat capacity ratio or adiabatic index or ratio of specific heats or Poisson constant, is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

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Helium

Helium (from lit) is a chemical element with symbol He and atomic number 2.

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Hubert Chanson

Hubert Chanson (born 1 November 1961) is a professor in hydraulic engineering and applied fluid mechanics in the School of Civil Engineering at the University of Queensland since 1990.

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Hydraulics

Hydraulics (from Greek: Υδραυλική) is a technology and applied science using engineering, chemistry, and other sciences involving the mechanical properties and use of liquids.

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International System of Units

The International System of Units (SI, abbreviated from the French Système international (d'unités)) is the modern form of the metric system, and is the most widely used system of measurement.

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Kilogram

The kilogram or kilogramme (symbol: kg) is the base unit of mass in the International System of Units (SI), and is defined as being equal to the mass of the International Prototype of the Kilogram (IPK, also known as "Le Grand K" or "Big K"), a cylinder of platinum-iridium alloy stored by the International Bureau of Weights and Measures at Saint-Cloud, France.

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Kinematics

Kinematics is a branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the mass of each or the forces that caused the motion.

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Length

In geometric measurements, length is the most extended dimension of an object.

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Mach number

In fluid dynamics, the Mach number (M or Ma) is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

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Metre

The metre (British spelling and BIPM spelling) or meter (American spelling) (from the French unit mètre, from the Greek noun μέτρον, "measure") is the base unit of length in some metric systems, including the International System of Units (SI).

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Newton (unit)

The newton (symbol: N) is the International System of Units (SI) derived unit of force.

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Pascal (unit)

The pascal (symbol: Pa) is the SI derived unit of pressure used to quantify internal pressure, stress, Young's modulus and ultimate tensile strength.

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Physical model

Physical model (most commonly referred to simply as a model but in this context distinguished from a conceptual model) is a smaller or larger physical copy of an object.

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Prandtl number

The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

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Pressure

Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

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Pressure coefficient

The pressure coefficient is a dimensionless number which describes the relative pressures throughout a flow field in fluid dynamics.

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Reynolds number

The Reynolds number is an important dimensionless quantity in fluid mechanics used to help predict flow patterns in different fluid flow situations.

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Scale (ratio)

The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original.

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Second

The second is the SI base unit of time, commonly understood and historically defined as 1/86,400 of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds each.

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Similarity (geometry)

Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.

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Similitude of ship models

Many research workers, hydraulics specialists and engineers have used scale models for over a century, in particular in towing tanks.

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Speed

In everyday use and in kinematics, the speed of an object is the magnitude of its velocity (the rate of change of its position); it is thus a scalar quantity.

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Strouhal number

In dimensional analysis, the Strouhal number (St) is a dimensionless number describing oscillating flow mechanisms.

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Submarine

A submarine (or simply sub) is a watercraft capable of independent operation underwater.

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Temperature

Temperature is a physical quantity expressing hot and cold.

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Velocity

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

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Viscosity

The viscosity of a fluid is the measure of its resistance to gradual deformation by shear stress or tensile stress.

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Weber number

The Weber number (We) is a dimensionless number in fluid mechanics that is often useful in analysing fluid flows where there is an interface between two different fluids, especially for multiphase flows with strongly curved surfaces.

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Womersley number

The Womersley number (α or \text) is a dimensionless number in biofluid mechanics and biofluid dynamics.

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Redirects here:

Dynamic similarity, Dynamic similitude, Laws of similitude, Similarity principle.

References

[1] https://en.wikipedia.org/wiki/Similitude_(model)

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