A geometrical model of dishwasher spray arm for CornerWash

Hakan Ateş; Fatma Ateş; Hakan Ateş; Fatma Ateş

doi:10.3934/math.2022475

AIMS Mathematics

2022, Volume 7, Issue 5: 8534-8541. doi: 10.3934/math.2022475

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A geometrical model of dishwasher spray arm for CornerWash

Hakan Ateş ^{1
,
,},
Fatma Ateş ²

1.
Mechanical Engineer, Arçelik Company, Ankara, Turkey
2.
Department of Mathematics-Computer Sciences, Necmettin Erbakan University, Konya, Turkey

Received: 23 October 2021 Revised: 11 February 2022 Accepted: 16 February 2022 Published: 28 February 2022
MSC : 14H50, 53A17, 53B30, 53Z30

Many dishwasher manufacturers are in search of innovative solutions for issues such as washing performance, energy efficiency, water consumption and noise. The most critical place to make these improvements is in the spray arm design. With a good spray arm design, it can be reduced water consumption, energy consumption, and noise. In this study, we focus on a new spray arm design (studied by Arçelik) that increases efficiency. Also, we have obtained a geometrical interpretation of the new spray arm motion. We investigate the path followed by the new spray arm in $ 3- $dimensional Minkowski space and its projection on a plane. Finally, we present its three-dimensional and two-dimensional images.
- spherical timelike helix,
- dishwasher,
- cornerwash,
- hypocycloid,
- Minkowski $ 3- $space
Citation: Hakan Ateş, Fatma Ateş. A geometrical model of dishwasher spray arm for CornerWash[J]. AIMS Mathematics, 2022, 7(5): 8534-8541. doi: 10.3934/math.2022475

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Abstract

Many dishwasher manufacturers are in search of innovative solutions for issues such as washing performance, energy efficiency, water consumption and noise. The most critical place to make these improvements is in the spray arm design. With a good spray arm design, it can be reduced water consumption, energy consumption, and noise. In this study, we focus on a new spray arm design (studied by Arçelik) that increases efficiency. Also, we have obtained a geometrical interpretation of the new spray arm motion. We investigate the path followed by the new spray arm in $ 3- $dimensional Minkowski space and its projection on a plane. Finally, we present its three-dimensional and two-dimensional images.

References

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