Picard–Newton iterative algorithm to solve the potential flow equation for different turbomachinery flow regimes

Mouallem, Joseph; Mouallem, Johny; Niaki, Seyed Reza Amini

doi:10.1007/s40430-019-1819-3

Cited by 2 publications

(2 citation statements)

References 12 publications

(13 reference statements)

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“…The development of social economy and the improvement of material living standards have led to an increase in consumers' requirements for apparel consumer goods, and people no longer pursue only material satisfaction, but also spiritual satisfaction [1]. Fractal patterns are one of the most important expressions of fractal art, and the generation of fractal patterns requires the use of computers and mathematical models and procedures to be completed [2]. The fractal patterns generated by Newton's iteration are infinitely variable and extremely aesthetic [3].…”

Section: Introductionmentioning

confidence: 99%

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Wang¹

2022

Wireless Communications and Mobile Computing

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Fashionable FMCG clothing brands have emerged in large numbers, and fast fashionable and personalized clothing is increasingly favored by young people. In this era of rapid renewal, clothing has obviously become a fast moving consumer good. China’s textile industry continues to develop, and the speed of development accelerates, coupled with the introduction and promotion of the use of Western textile technology, making the pattern design of Chinese textiles develop more quickly. The long-term disconnection between product pattern design and product production has led to the fact that the research on product pattern has been only on the plane, so there is an urgent need to improve the design level of product pattern and the market competitiveness of products through systematic research on product pattern. Newton’s iteration is an important research content of nonlinear theory, which is a hot spot in the field of scientific research at present. Newton’s iteration is a common method for finding the roots of nonlinear equations, which has at least second-order convergence speed, but requires the calculation of first-order derivative values. In this paper, a preliminary discussion on the design method of pattern design based on Newton’s iterative algorithm is conducted to explore a new way of personalized pattern design while using nonlinear graphs as pattern design materials. The experimental results show that the average value of EME of Newton’s iteration algorithm is 3.479 and 2.072 higher than that of AVG Filter and CB Filter, respectively, and the difference of pattern generation accuracy between CB Filter and AVG Filter is not much, so the accuracy of Newton’s iteration algorithm for pattern generation is better than that of CB Filter and AVG Filter. Therefore, it is proved that it is feasible to transform the special texture effect based on Newton’s iteration algorithm into fabric.

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Section: Introductionmentioning

confidence: 99%

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Wang¹

2022

Wireless Communications and Mobile Computing

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“…Evaluating these factors and setting up the corresponding values leads to new problems and a greater need to find innovative approaches [4]. Considerable effort has already been invested in studying the centrifugal pump and turbomachines performance [5][6][7][8]. Therefore, flow characteristics in centrifugal pumps have been the subject of numerous investigations [9,10].…”

Section: Introductionmentioning

confidence: 99%

Investigation on the Effect of Impeller Design Parameters on Performance of a Low Specific Speed Centrifugal Pump Using Taguchi Optimization Method

Ayremlouzadeh

Jafarmadar

Niaki

2022

TJFP

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In order to investigate the effect of blade design on pump performance, a CFD analysis was carried out, and the results were compared with experimental performance data of a low specific speed radial pump, which presents a good agreement. After model verification, the effect of impeller geometrical parameters includes blade outlet angle, wrap angle, and width at the exit, was investigated on the pump’s performance. Moreover, these parameters were chosen on three levels using an L9 orthogonal standard array of the Taguchi optimization method. The efficient levels of variables were calculated using the analysis of variance (ANOVA) method. The results revealed that impeller width at exit and blade outlet angle is the most effective pump shaft power and efficiency parameters. To minimize power, the optimal levels are the outlet angle of 27∘∘, wrap angle of 150∘∘, and width at the exit of 9 mm. Further, an outlet angle of 23∘∘, a wrap angle of 155∘∘, and a width at the exit of 9 mm lead to maximum pump efficiency. According to the validation simulations, an increase of 2.4% inefficiency and a minimum power of 3.9KW were achieved. The Overall Evaluation Criteria (OEC) technique revealed that considering 23∘∘, 160∘∘, and 9 mm for outlet angle, wrap angle, and width at the exit, minimum shaft power, and maximum pump efficiency will be achieved. ANOVA introduced width at the exit as the most governing parameter of pump performance characteristics.

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Picard–Newton iterative algorithm to solve the potential flow equation for different turbomachinery flow regimes

Cited by 2 publications

References 12 publications

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Pattern Generation and Design of Floral Patterns Based on Newton’s Iterative Algorithm

Investigation on the Effect of Impeller Design Parameters on Performance of a Low Specific Speed Centrifugal Pump Using Taguchi Optimization Method

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