Fluid Numbers Calculator v1

Subject

A fluid number is actually a ratio, usually named after its creator, of the fluid's inertia to a specified property; i.e. temperature, pressure, viscosity, gravity, velocity, elasticity, etc. enabling the prediction of one property based upon the known magnitude of another.

This ratio (Inertia ÷ Property) can be used, for example, to predict the behaviour of a full-size body submerged in a fluid based upon the performance of a model, or to calculate its performance across a range of conditions without the need to build a model, e.g. added mass and drag coefficients, which are based upon Reynold’s number.

The fluid numbers calculator includes a calculation option for each number, see Options below. You enter as much information as you know, and as soon as it can Fluid Numbers will calculate the unknown(s).

The technical help page for Fluid Numbers takes you through a step-by-step procedure showing you how to use this calculator to relate the performance of a full-size submarine to that of a model.

For help using this calculator see Technical Help

Fluid Numbers Calculator - Options

All calculation options in this calculator work in the same way. The input and output values are the same. You enter the data you know and Fluid Numbers will fill in the missing value. In other words; you enter: the known values, and Fluid Numbers will calculate: the unknown value

REYNOLDS

Reynolds number is used to predict the behaviour of a fluid based upon viscosity.

You enter:	and the fluid numbers calculator will provide:
Reynold’s number Fluid density Dimension Fluid velocity Fluid viscosity	The missing values

FROUDE

Froude’s number is used to predict the behaviour of a fluid based upon gravity.

You enter:	and the fluid numbers calculator will provide:
Froude number Dimension Fluid velocity Acceleration due to gravity	The missing values

EULER

Euler’s number is used to predict the behaviour of a fluid based upon pressure.

You enter:	and the fluid numbers calculator will provide:
Euler number Fluid density Fluid velocity Fluid pressure	The missing values

PRESSURE COEFFICIENT

The pressure coefficient number is used to predict the behaviour of a fluid based upon pressure difference.

You enter:	and the fluid numbers calculator will provide:
Pressure coefficient Fluid density Fluid velocity Fluid pressure differential	The missing values

VELOCITY

The velocity number is used to predict the behaviour of a fluid based upon (rotational) velocity.

You enter:	and the fluid numbers calculator will provide:
Velocity ratio Dimension Fluid velocity (linear) Fluid velocity (rotational)	The missing values

CAUCHY

Cauchy’s number is used to predict the behaviour of a fluid based upon elasticity.

You enter:	and the fluid numbers calculator will provide:
Cauchy number Fluid density Fluid velocity Fluid [bulk] elasticity modulus	The missing values

MACH

The Mach number is used to predict the behaviour of a fluid based upon elasticity.

You enter:	and the fluid numbers calculator will provide:
Mach number Fluid density Fluid velocity Fluid [bulk] elasticity modulus	The missing values

STROUHAL

Strouhal’s number is used to predict the behaviour of a fluid based upon vibration frequency.

You enter:	and the fluid numbers calculator will provide:
Strouhal number Dimension Vibration frequency Fluid velocity	The missing values

WEBER

Weber’s number is used to predict the behaviour of a fluid based upon surface tension.

You enter:	and the fluid numbers calculator will provide:
Weber number Fluid density Dimension Fluid velocity Fluid surface tension	The missing values

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