# Working fluid

### Working fluid

A working fluid is a pressurized gas or liquid that actuates a machine. Examples include steam in a steam engine, air in a hot air engine and hydraulic fluid in a hydraulic motor or hydraulic cylinder. More generally, in a thermodynamic system, the working fluid is a liquid or gas that absorbs or transmits energy.

## Contents

• Properties and states 1
• Work 2
• Choice 3
• Applications and examples 4
• References 6

## Properties and states

The working fluid properties are essential for the full description of thermodynamic systems. Although working fluids have a very large number of physical properties which can be defined, the thermodynamic properties which are often required in engineering design and analysis are few. Pressure, temperature, enthalpy, entropy, specific volume and internal energy are the most common.

Pressure–volume diagram showing state (p,V)

If at least two thermodynamic properties are known, the state of the working fluid can be defined. This is usually done on a property diagram which is simply a plot of one property versus another.

Typical thermodynamic process for a working fluid (expansion from state 1 to state 2)

When the working fluid passes through engineering components such as turbines and compressors, the point on a property diagram moves due to the possible changes of certain properties. In theory therefore it is possible to draw a line/curve which fully describes the thermodynamic properties of the fluid. In reality however this can only be done if the process is reversible. If not, the changes in property are represented as a dotted line on a property diagram. This issue does not really affect thermodynamic analysis since in most cases it is the end states of a process which are sought after.

## Work

The working fluid can be used to output useful work if used in a turbine. Also, in thermodynamic cycles energy may be input to the working fluid by means of a compressor. The mathematical formulation for this may be quite simple if we consider a cylinder in which a working fluid resides. A piston is used to input useful work to the fluid. From mechanics, the work done from state 1 to state 2 of the process is given by

W = -\int_{1}^{2} \mathbf{F} \cdot \mathrm{d}\mathbf{s}

Where ds is the incremental distance from one state to the next and F is the force applied. The negative sign is introduced since in this case a decrease in volume is being considered. The situation is shown in the figure which follows.

Work input on a working fluid by means of a cylinder-piston arrangement

The force is given by the product of the pressure in the cylinder and its cross sectional area such that

W = -\int_{1}^{2} \mathit{pA} \cdot \mathrm{d}\mathbf{s}
W = -\int_{1}^{2} \mathit{p} \cdot \mathrm{d}\mathit{V}

Where A.ds = dV is the elemental change of cylinder volume. If from state 1 to 2 the volume increases then the working fluid actually does work on its surroundings and this is commonly denoted by a negative work. If the volume decreases the work is positive. By the definition given with the above integral the work done is represented by the area under a pressure - volume diagram. If we consider the case where we have a constant pressure process then the work is simply given by

W = -\mathit{p}\int_{1}^{2} \mathrm{d}\mathit{V}
W = -\mathit{p} \cdot \mathrm{(V_2-V_1)}

Constant pressure process on a p-V diagram

## Choice

Depending on the application, various types of working fluids are used. In a thermodynamic cycle it may be the case that the working fluid changes state from gas to liquid or vice versa. Certain gases such as Helium can be treated as ideal gases. This is not generally the case for superheated steam and the ideal gas equation does not really hold. At much higher temperatures however it still yields relatively accurate results. The physical and chemical properties of the working fluid are extremely important when designing thermodynamic systems. For instance, in a refrigeration unit, the working fluid is called the refrigerant. Ammonia is a typical refrigerant and may be used as the primary working fluid. Compared with water (which can also be used as a refrigerant), ammonia makes use of relatively high pressures requiring more robust and expensive equipment.

In air standard cycles as in gas turbine cycles, the working fluid is air. In the open cycle gas turbine, air enters a compressor where its pressure is increased. The compressor therefore inputs work to the working fluid (positive work). The fluid is then transferred to a combustion chamber where this time heat energy is input by means of the burning of a fuel. The air then expands in a turbine thus doing work against the surroundings (negative work).

Different working fluids have different properties and in choosing one in particular the designer must identify the major requirements. In refrigeration units, high latent heats are required to provide large refrigeration capacities.

## Applications and examples

The following table gives typical applications of working fluids and examples for each:

Application Typical working fluid Specific example
Gas turbine cycles Air
Rankine cycles Water/steam, pentane, toluene
Vapor-compression refrigeration, heat pumps Chlorofluorocarbons, hydrochlorofluorocarbons, fluorocarbons, propane, butane, isobutane, ammonia, sulfur dioxide Commercial refrigerators, Air conditioners
Reusable launch vehicle extensible vertical-landing legs Helium[1] SpaceX reusable launch system development program