The wheel on the end of the crankshaft that gives the crankshaft momentum to carry the pistons through the compression stroke.

Normally constructed from a heavy steel or iron disc.

A flywheel has two main functions:

- Moderating speed fluctuations in an engine through its inertia. Any sudden increase due to fuelling changes or load on the system will be evened out.
- Energy storage medium, as an alternative to the chemical battery.

### Angular Acceleration

The angular acceleration of a flywheel is:

where

α = angular acceleration in [rad s^{-2}]

ω_{1,2} = angular velocity at time 1 and 2 [rad s^{-1}]

t = time between 1 and 2 [s]

### Angular Velocity

The angular velocity of a flywheel is:

where

ω = angular velocity [rad s^{-1}]

N_{rpm} = rotational speed of the flywheel [revolutions per minute]

### Coefficient of Fluctuation of Energy

This is defined as the maximum fluctuation of energy to the work done per cycle.

Six Cylinder 4-stroke gas engine | 0.031 |

Four cylinder 4-stroke gas engine | 0.066 |

Cross-compound steam engine | 0.096 |

Single cylinder double acting steam engine | 0.21 |

Single cylinder 4-stroke gas engine | 1.93 |

*Coefficient of Fluctuation of Energy*

### Coefficient of Fluctuation of Speed

The ratio of the maximum fluctuation of speed (maximum speed – minimum speed) to the mean speed.

Hammering machines | 0.2 |

Spinning machinery | 0.1 to 0.02 |

Pumping machines | 0.03 to 0.05 |

Direct drive electric machines | 0.002 |

*Coefficient of Fluctuation of Speed*

### Energy Stored

The energy stored in a flywheel is:

where

E = energy stored [J]

I = moment of inertia of the flywheel [kgm^{2}]

ω = angular velocity of the flywheel [rad s^{-1}]

If the flywheel is attached to an engine then the **energy from the engine per revolution** is given as:

where

E_{engine} = energy from engine per revolution [J]

P = engine power [W]

N_{rpm} = engine rotational speed [revolutions per minute]

### Maximum Fluctuation of Speed

Difference between maximum and minimum speeds during a cycle.

The fundamental flywheel design principles are around the inertia that is required to store energy, for an engine this is energy required to continue the rotation between firing strokes, and the minimal inertia that will then allow the engine to rev freely.

### Reference

“Theory and Design of Automotive Engines”, B Dinesh Prabhu, Assistant Professor, P E S College of Engineering, Mandya, KARNATAKA

## Leave a Reply