On /-Extremally Disconnected Spaces

Keskin, Aynur; Yüksel, Şaziye; Noiri, Takashi

doi:10.1501/commua1_0000000195

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…In addition, the relationship between Iconnectedness and * -Hyperconnectedness in ideal topological spaces [11] can also be examined. Furthermore, [12] have defined I-extremally disconnected spaces and have revealed the connection of this connectedness concerning some weak continuity varieties. A similar study can also be conducted on the I-connectedness defined here in.…”

Section: Discussionmentioning

confidence: 99%

I-Connectedness

KILINÇ

2022

Journal of New Theory

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Section: Discussionmentioning

confidence: 99%

I-Connectedness

KILINÇ

2022

Journal of New Theory

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“…Radial pumps are commonly used in agriculture and industry, and under cavitation conditions, there is a sharp decline in the Hm-Q curve (Keskin, 2002). As a result, determining the 3% decrease in Hm value becomes difficult.…”

Section: Introductionmentioning

confidence: 99%

Machine Learning-Based Prediction of NPSH, Noise, and Vibration Levels in Radial Pumps Under Cavitation Conditions

ORHAN,

KURT,

KIRILMAZ

et al. 2024

Tekirdağ Ziraat Fakültesi Dergisi

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Cavitation, a physical phenomenon that detrimentally affects pump performance and reduces pump life, can cause wear on pump elements. Various engineering methods have been developed to identify the initiation and full development of the cavitation process. One such method is the determination of the net positive suction head (NPSH) through a 3% decrease in total head (Hm) at a constant flow rate. In radial pumps, commonly used in agricultural irrigation and industry, cavitation conditions result in a sudden drop in the Hm-Q curve, making it challenging to detect the 3% Hm value drop. This study differs from others in the literature by modelling NPSH, noise, and vibration levels using three machine learning models, specifically artificial neural networks (ANN), support vector machines (SVM), and decision tree regression (DTR). The best-performing model predicts NPSH, noise, and vibration levels corresponding to a 3% decrease in Hm level. The present study determined the NPSH values of a horizontal shaft centrifugal pump at different flow rates and constant operating speed, and the vibration and noise levels were measured for these NPSH values. For each of the NPSH, noise, and vibration levels, ANN, SVM and DTR models were created. The performances of these models were evaluated using criteria such as root mean squared error (RMSE), Mean Absolute Error (MAE) and mean absolute percentage error (MAPE). In addition, Taylor and error box diagrams were created. The ANN model and DTR yielded high accuracy predictions for NPSH values (R2 = 0.86 and R2 = 0.8, respectively). The ANN model provided the best prediction performance for noise and vibration levels. By entering the level of 3% drop in the Hm value of the pump as external data input to the ANN model, NPSH3, noise, and vibration levels were determined. The ANN models can be effectively employed to determine NPSH3, noise, and vibration levels, particularly in radial flow pumps, where detecting 3% reductions in manometric height value is challenging.

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“…For example, the Cantor-Bendixson Theorem is generalized in [6]. New special spaces such as I-Rothberger [7], I-Baire [17], I-Resolvable and I-Hyperconnected [3],I-Extremally Disconnected [12], I-Alexandroff and I g -Alexandroff [4] are defined by using ideal. In addition, the concepts of ideal and local function are studied in fuzzy set theory [28], soft set theory [11] and ditopological texture spaces [15].…”

Section: Introductionmentioning

confidence: 99%

New types of connectedness and intermediate value theorem in ideal topological spaces

Yalaz

Kaymakci

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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The definitions of new type separated subsets are given in ideal topological spaces. By using these definitions, we introduce new types of connectedness. It is shown that these new types of connectedness are more general than some previously defined concepts of connectedness in ideal topological spaces. The new types of connectedness are compared with well-known connectedness in point-set topology. Then, the intermediate value theorem for ideal topological spaces is given. Also, for some special cases, it is shown that the intermediate value theorem in ideal topological spaces and the intermediate value theorem in topological spaces coincide.

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On /-Extremally Disconnected Spaces

Cited by 4 publications

References 4 publications

I-Connectedness

I-Connectedness

Machine Learning-Based Prediction of NPSH, Noise, and Vibration Levels in Radial Pumps Under Cavitation Conditions

New types of connectedness and intermediate value theorem in ideal topological spaces

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