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Mass Density

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Dean Number

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The Dean number is a dimensionless group in fluid mechanics, which occurs in the study of flow in curved pipes and channels.

Drag Coefficient

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The drag coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

Archimedes Number

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The Archimedes number is used to determine the motion of fluids due to density differences. It is a dimensionless number defined as the ratio of external forces to internal viscous forces.

Acceleration Number

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The acceleration number characterizes acceleration flow.

Accelerating Frequency

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Fluid dynamic accelerating frequency

Alfvén Number

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The Alfvén number describes the relative scale for phenomena within an Alfvén wave, a type of magnetohydrodynamic wave in which ions oscillate in response to a restoring force provided by an effective tension on the m...

Archimedes's Principle

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Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid displaced by the object.

Atwood Number

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The Atwood number is a dimensionless number in fluid dynamics used in the study of hydrodynamic instabilities in density-stratified flows.

Bernoulli's Energy Equation

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Bernoulli's energy equation derives from Bernoulli's principle, which states that an increase in the speed of a fluid across a surface will result in a decrease of the force exerted (pressure) on that surface, or a de...

Bond Number

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The Bond number, or Eötvös number, is a dimensionless number measuring the importance of gravitational forces compared to surface tension forces, and is used to characterize the shape of bubbles or drops moving in a s...

Boussinesq Approximation Parameter Using Fluid Densities

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The Boussinesq approximation is used in the field of buoyancy-driven flow (also known as natural convection). It ignores density differences except where they appear in terms multiplied by the acceleration due to grav...

Bagnold Number

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The Bagnold number is the ratio of grain collision stresses to viscous fluid stresses in a granular flow with interstitial Newtonian fluid.

Barometric Formula for Density

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The barometric formula (also called the exponential atmosphere or isothermal atmosphere) is a formula used to model how the density of the air changes with altitude.

Blasius Boundary Layer Thickness

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A Blasius boundary layer describes the steady two-dimensional laminar boundary layer that forms on a semi-infinite plate, which is held parallel to a constant unidirectional flow.

Blasius Displacement Thickness

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A Blasius boundary layer describes the steady two-dimensional laminar boundary layer that forms on a semi-infinite plate, which is held parallel to a constant unidirectional flow.

Blood Glucose Level from Mean Plasma Glucose

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The blood sugar concentration, or blood glucose level, is the amount of glucose (sugar) present in the blood of a human or animal.

Bodenstein Number with Thermal Conductivity

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The Bodenstein number, a dimensionless number that is often used to describe axial mixing in so-called axial-dispersion models for tubular reactors. It represents the ratio between the convective transport to the tran...

Brownell–Katz Number by Viscosity

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The Brownell–Katz number is a combination of capillary number and Bond number.

Bulk Concentration

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The bulk concentration describes the ratio of suspended particles to the fluid as a whole.

Capillary Action

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Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

Cauchy Number

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The Cauchy number is a dimensionless number in continuum mechanics used in the study of compressible flows.

Centrifugal Pump Power

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Centrifugal pump power describes the power of a certain class of pumps used to transport fluids by the conversion of rotational kinetic energy to the hydrodynamic energy of the fluid flow.

Chandrasekhar Number

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The Chandrasekhar number is a dimensionless quantity used in magnetic convection to represent the ratio of the Lorentz force to the viscosity.

Concentration of Oxygen in Blood

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Oxygen saturation is a relative measure of the concentration of oxygen that is dissolved or carried in a given medium as a proportion of the maximal concentration that can be dissolved in that medium.

Elliptical Cylinder Mass

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An elliptical cylinder is a cylinder whose cross-section is an ellipse.

Eötvös Number

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The Eötvös number, also called the Bond number, is a dimensionless number measuring the importance of gravitational forces compared to surface tension forces, and is used (together with the Morton number) to character...

First Cowling Number

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The Cowling number expresses the magnetic-to-inertia forces ratio.

First Euler Number Using Friction Force

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The Euler number is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop caused by a restriction and the kinetic energy per volume of the flow, and is use...

First Euler Number Using Pressure Difference

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The Euler number is a dimensionless number used in fluid flow calculations. It expresses the relationship between a local pressure drop caused by a restriction and the kinetic energy per volume of the flow, and is use...

Fourier Number Using Thermal Conductivity

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The Fourier number is a dimensionless number that characterizes transient heat conduction. Conceptually, it is the ratio of diffusive or conductive transport rate to the quantity storage rate, where the quantity may b...

Graetz Number

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The Graetz number is a dimensionless number that characterizes laminar flow in a conduit.

Hydraulic Conductivity

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Hydraulic conductivity is a property of vascular plants, soils and rocks that describes the ease with which a fluid (usually water) can move through pore spaces or fractures. It depends on the intrinsic permeability o...

Hydrostatic Pressure

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Hydrostatic pressure describes the pressure in a fluid at rest, where all frictional and inertial stresses vanish.

Hartmann Number

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The Hartmann number, related to the Chandrasekhar number, is a dimensionless quantity used in magnetic convection to represent the ratio of the Lorentz force to the viscosity.

Ideal Gas Law Using Density

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The ideal gas law is the equation of state of a hypothetical ideal gas. An ideal gas is a theoretical gas composed of many randomly moving point particles whose only interactions are perfectly elastic collisions.

IV Infusion Rate

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Intravenous therapy is the infusion of liquid substances directly into a vein. The infusion rate is the rate at which a solution is administered to the patient.

Jeans Length Using Speed of Sound

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The Jeans length is the critical radius for instability of a collapsing thermalized cloud of self­gravitating gas.

Jeans Length Using Temperature

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The Jeans length is the critical radius for the instability of a collapsing thermalized cloud of self­gravitating gas.

Jeans Mass Using Temperature

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The Jeans mass is the mass that a spherical cloud of interstellar gas must have in order to contract under its own weight.

Jeans Mass Using Speed of Sound

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The Jeans mass is the mass that a spherical cloud of interstellar gas must have in order to contract under its own weight.

Lewis Number Using Thermal Conductivity

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The Lewis number is a dimensionless number defined as the ratio of thermal diffusivity to mass diffusivity. It is used to characterize fluid flows where there is simultaneous heat and mass transfer.

Lift Coefficient

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The lift coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Molarity-to-Density Formula

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Molar concentration, also called molarity, amount concentration or substance concentration, is a measure of the concentration of a solute in a solution, or of any chemical species, in terms of the amount of substance ...

Mass Density

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The mass density of a substance is its mass per unit volume.

Maximum Stable Sand Castle Height

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A sand castle is a type of sand sculpture resembling a miniature building. Its height depends on a number of factors, such as the shape, size and mixture of the sand grains, the moisture content and the details of the...

Pressure of a Column of Fluid

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The pressure of a column of fluid depends on the surface pressure and the depth of the column.

Rutherford Scattering Scattering Cross-Section

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Rutherford scattering is the elastic scattering of charged particles by the Coulomb interaction.

Rayleigh Number Using Thermal Conductivity

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The Rayleigh number for a fluid is a dimensionless number associated with buoyancy-driven flow, also known as free convection or natural convection.

Renal Failure Index

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The renal failure index is used to differentiate between renal and pre-renal acute renal failure.

Reynolds Number Using Dynamic Viscosity

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

Serum Osmolarity

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Serum osmolarity measures the body's electrolyte-water balance.

Schmidt Number Using Dynamic Viscosity

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The Schmidt number is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity, and is used to characterize fluid flows in which there are simultaneous momentum an...

Second Cowling Number

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The Cowling number expresses the magnetic-to-intertia forces ratio.

Specific Rotation Using Pure Liquid

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Specific rotation is a property of a chiral chemical compound. It is defined as the change in orientation of monochromatic plane-polarized light, per unit distance–concentration product, as the light passes through a ...

Speed of Sound in an Ideal Gas by Pressure

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The speed of sound is the distance traveled per unit time by a sound wave as it propagates through an elastic medium.

Stanton Number

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The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid.

Suratman Number

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The Suratman number is a dimensionless number used in the characterization of free-surface fluid dynamics. It represents a ratio of surface tension to the momentum transport (especially dissipation) inside a fluid.

Venturi Flow Rate

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The Venturi effect is the reduction in fluid pressure that results when a fluid flows through a constricted section (or choke) of a pipe. The Venturi flow rate is the volume flow of the fluid as it passes through that...

Viscosity Conversion Formula

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The kinematic viscosity is the ratio of the dynamic viscosity μ to the density of the fluid.

Water Hammer Pressure with Fast Closure

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Water hammer (or, more generally, fluid hammer) is a pressure surge or wave caused when a fluid (usually a liquid, but sometimes also a gas) in motion is forced to stop or change direction suddenly (momentum change). ...

Weber Number

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The Weber number is a dimensionless number in fluid mechanics that is often useful in analyzing fluid flows where there is an interface between two different fluids, especially for multiphase flows with strongly curve...

Wind Turbine Power

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A wind turbine is a device that converts the wind's kinetic energy into electrical energy.