# An Investigation of Viscous Torque Loss in Ball Bearing Operating in Various Liquids

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## Abstract

**:**

## 1. Introduction

^{2}/s, n is the revolution in rev/min, ${M}_{0}$ is the viscous torque in Nmm. SKF model for viscous torque loss in ball bearing is more comprehensive. It takes into account the drag loss factor ${V}_{m}$, the number of balls ${K}_{ball}$, bearing mean diameter ${d}_{m}$, revolution n, kinematic viscosity $\nu $, and parameters ${f}_{t}$ and ${R}_{s}$, which depend on the specific geometry of a bearing and operating conditions [4].

## 2. The Methodology of Torque Loss Determination

## 3. Experimental Measurement

## 4. Determination of Torque Losses Correction on the Hub by CFD

## 5. Results

## 6. Discussion

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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Type of Bearings | ${\mathit{D}}_{2}$ (mm) | ${\mathit{D}}_{1}$ (mm) |
---|---|---|

61820 | 125 | 100 |

6015 | 115 | 75 |

6210 | 90 | 50 |

61820 | 6015 | 6210 | |
---|---|---|---|

A (mm) | 100 | 75 | 50 |

B (mm) | 15 | 24 | 23.8 |

C (mm) | 2.3 | 4.8 | 4.5 |

D (mm) | 109 | 90 | 71 |

Density (kg/m^{3}) | Kinematic Viscosity (m^{2}/s) | |
---|---|---|

Water | 998.2 | $1.0023\times {10}^{-6}$ |

ISO VG 46 | 857.8 | $1.106\times {10}^{-4}$ |

500 rpm | 2500 rpm | 4500 rpm | ||||
---|---|---|---|---|---|---|

Type of Bearings | Total Torque CFD (Nm) | PTL (%) | Total Torque CFD (Nm) | PTL (%) | Total Torque CFD (Nm) | PTL (%) |

61820 | 0.011556 | 20.02 | 0.206424 | 20.68 | 0.607270 | 20.72 |

6015 | 0.005519 | 22.23 | 0.095071 | 23.55 | 0.285224 | 24.06 |

6210 | 0.001941 | 17.09 | 0.031173 | 17.39 | 0.089743 | 16.94 |

500 rpm | 2500 rpm | 4500 rpm | ||||
---|---|---|---|---|---|---|

Type of Bearings | Total Torque CFD (Nm) | PTL (%) | Total Torque CFD (Nm) | PTL (%) | Total Torque CFD (Nm) | PTL (%) |

61820 | 0.067487 | 15.30 | 0.774147 | 13.90 | 1.887112 | 13.84 |

6015 | 0.033710 | 19.78 | 0.397034 | 17.30 | 0.975630 | 18.94 |

6210 | 0.013495 | 15.65 | 0.0.150078 | 13.06 | 0.370136 | 15.72 |

**Table 6.**Results of the transient CFD simulations for the hub 61820 in oil if laminar flow is assumed.

Revolution (rpm) | Total Torque CFD (Nm) | PTL(%) |
---|---|---|

500 | 0.065853 | 16.19 |

2500 | 0.766787 | 13.46 |

4500 | 1.865688 | 13.42 |

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**MDPI and ACS Style**

Dobrovolný, M.; Habán, V.; Tancjurová, J.; Zbavitel, J. An Investigation of Viscous Torque Loss in Ball Bearing Operating in Various Liquids. *Water* **2021**, *13*, 1414.
https://doi.org/10.3390/w13101414

**AMA Style**

Dobrovolný M, Habán V, Tancjurová J, Zbavitel J. An Investigation of Viscous Torque Loss in Ball Bearing Operating in Various Liquids. *Water*. 2021; 13(10):1414.
https://doi.org/10.3390/w13101414

**Chicago/Turabian Style**

Dobrovolný, Martin, Vladimír Habán, Jana Tancjurová, and Jan Zbavitel. 2021. "An Investigation of Viscous Torque Loss in Ball Bearing Operating in Various Liquids" *Water* 13, no. 10: 1414.
https://doi.org/10.3390/w13101414