Geometric design of the limaçon-to-circular fluid processing machine

2021 ◽  
pp. 1-16
Author(s):  
Truong H. Phung ◽  
Ibrahim A. Sultan
Keyword(s):  
Mathematical Models ◽  
Case Studies ◽  
Theoretical Investigation ◽  
Manufacturing Process ◽  
Production Cost ◽  
Radial Clearance ◽  
Positive Displacement ◽  
Tangent Method ◽  
Proposed Modification ◽  
New Machine

Abstract A limaçon machine is a rotary positive displacement device, in which the housing and rotor are constructed of limaçon of Pascal curves. Previous works have been published to investigate the working of these machines in two applications: gas expanders and compressors. This paper presents a theoretical investigation into the potential of modifying the rotor prole of the limaçon machines in order to simplify the machine's manufacturing process and to reduce production cost. The proposed modification will produce new characteristics for the housing-rotor interaction. An outcome that motivates the need to obtain new mathematical models to investigate the housing-rotor interference, and describe the volumetric relationships of the new machine. This paper sets out by introducing a background on the limaçon technology in a simple yet adequate fashion. The housing-rotor inference has been discussed from two different mathematical standpoints, i.e. the tangent method and the radial clearance method. The paper then introduces the volumetric relationship for the proposed modified machine and combines all the models produced in an optimisation endeavour to design the best machine for a given set of operating condition. Case studies of different fluid processing applications are considered to demonstrate the soundness of the proposed modifications and models. The outcome of this study confirms the validity of the proposed modification and its potential to produce a limaçon machine with favourable characteristics.

Case studies and mathematical models of ecological speciation. 3: Ecotype formation in a Swedish snail

2009 ◽  
Vol 18 (19) ◽  
pp. 4006-4023 ◽  
Author(s):  
S. SADEDIN ◽  
J. HOLLANDER ◽  
M. PANOVA ◽  
K. JOHANNESSON ◽  
S. GAVRILETS
Keyword(s):  
Mathematical Models ◽  
Case Studies ◽  
Ecological Speciation

scholarly journals A Novel Humidification Technique Used in Water Desalination Systems Based on the Humidification–Dehumidification Process: Experimentally and Theoretically

Water ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 2264
Author(s):  
Ahmed E. Tourab ◽  
Ana María Blanco-Marigorta ◽  
Aly M. Elharidi ◽  
María José Suárez-López
Keyword(s):  
Cost Analysis ◽  
Heat Pump ◽  
Theoretical Investigation ◽  
Hybrid System ◽  
System Performance ◽  
Production Cost ◽  
Water Desalination ◽  
Economic Comparison

In this paper, an experimental and theoretical investigation is performed on a novel water desalination system based on a humidification–dehumidification technique using a heat pump. An ultrasonic water atomizer is used in the humidification process in order to improve the humidification system. In addition to that, a new configuration is employed in the humidification process (hybrid atomization system), which combines the traditional spraying atomization system and the ultrasonic water atomizer. The new humidification system performance is investigated and compared with the spraying water atomizer system in terms of humidification effectiveness and freshwater productivity. The results show that the ultrasonic water atomizer has enhanced and improved humidification effectiveness, and consequently, the productivity of freshwater. The maximum humidification effectiveness and productivity achieved by the ultrasonic water atomizer are 94.9% and 4.9 kg/h, respectively, meaning an increase of 25.2% and 18.8%, compared to the traditional spraying atomization system. The hybrid system increases humidification effectiveness and productivity by 3.8% and 8.2%, respectively, in comparison with the stand-alone ultrasonic water atomizer. A cost analysis was also carried out in this paper in order to perform an economic comparison of different humidification processes (spraying, ultrasonic; and hybrid atomization systems). The minimum production cost of one liter of freshwater amounts to $0.0311 with the spraying system, $0.0251 with the ultrasonic system, and $0.0250 with the hybrid atomization system. These results reveal the profitability of the new configuration.

Analysis of Circular Braiding Process, Part 1: Theoretical Investigation of Kinematics of the Circular Braiding Process

1999 ◽  
Vol 121 (3) ◽  
pp. 345-350 ◽  
Author(s):  
Q. Zhang ◽  
D. Beale ◽  
R. M. Broughton
Keyword(s):  
Theoretical Investigation ◽  
Manufacturing Process ◽  
Kinematic Analysis ◽  
Mechanics Model ◽  
Sliding Motion ◽  
Absolute Motion ◽  
Braided Structure

Circular braiding is a manufacturing process for making circular braided fabrics. Relative sliding of yarns during their interlacing motion introduces friction which limits the density of the braided fabric. A kinematic analysis is presented in this paper. Yarns’ absolute motion, relative sliding motion and twist motion in the convergent zone are found to be important quantities in braid kinematics that impact the final braid structure. The straight yarn assumption, which ignores the effect of interyarn forces, is analyzed in detail for its validity in calculating the braid angle. In Part 2 of this paper series a mechanics model is proposed to determine the braid angle by considering interlacing forces and their effects on the braided structure.

scholarly journals Multi-Dimensional Mathematical Wear Models of Vibration Generated by Rolling Ball Bearings Made of AISI 52100 Bearing Steel

Materials ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 5440
Author(s):  
Paweł Zmarzły
Keyword(s):  
Mathematical Models ◽  
Total Curvature ◽  
Bearing Steel ◽  
Radial Clearance ◽  
Ball Bearings ◽  
Wear Process ◽  
Rolling Ball ◽  
Aisi 52100 ◽  
Aisi 52100 Steel ◽  
The Impact

The paper features the development of multi-dimensional mathematical models used for evaluating the impact of selected factors on the vibration generated by 6304ZZ type rolling ball bearings from three manufacturers in the aspect of the wear process. The bearings were manufactured of AISI 52100 bearing steel. The analyzed factors included the inner and outer raceways’ roundness and waviness deviations, radial clearance and the total curvature ratio. The models were developed for vibration recorded in three frequency ranges: 50–300 Hz, 300–1800 Hz and 1800–10,000 Hz. The paper includes a specification of the principles of operation of innovative measuring systems intended for testing bearing vibration, raceway geometries and radial clearance. Furthermore, it features a specification of particular stages of the multi-dimensional mathematical models’ development and verification. Testing with the purpose of statistical evaluation of the analyzed factors is also presented. The test results and mathematical models indicate that the inner raceway’s waviness deviation had a dominant impact on the vibration examined in all frequencies. The roundness and waviness deviation of bearing raceways made of AISI 52100 steel propagates the bearing wear process.

Development of new machine learning model for streamflow prediction: case studies in Pakistan

2021 ◽  
Author(s):  
Rana Muhammad Adnan ◽  
Reham R. Mostafa ◽  
Ahmed Elbeltagi ◽  
Zaher Mundher Yaseen ◽  
Shamsuddin Shahid ◽  
...  
Keyword(s):  
Machine Learning ◽  
Case Studies ◽  
Learning Model ◽  
Streamflow Prediction ◽  
Machine Learning Model ◽  
New Machine

A Geometric Design Model for the Circolimaçon Positive Displacement Machine

2008 ◽  
Vol 130 (6) ◽  
Author(s):  
Ibrahim A. Sultan
Keyword(s):  
Case Studies ◽  
Design Process ◽  
Geometric Parameters ◽  
Design Model ◽  
Inverse Design ◽  
Design Parameters ◽  
Design Models ◽  
Positive Displacement ◽  
Circular Arcs ◽  
Design Requirements

A circolimaçon positive displacement machine is driven by a limaçon mechanism, but the profiles of its rotor and housing are circular arcs. As such, its design models are different from those of the limaçon-to-limaçon machines, whose profiles are cut to the limaçon equations. For the benefit of the reader, the paper starts with a brief background on the general geometric aspects of the limaçon fluid processing technology. However, the focus is then turned to the circolimaçon machine, where its design parameters are introduced and geometric models are proposed to assist with the design process. Also, a computational inverse design model has been employed to work out a set of congruent geometric parameters to meet certain design requirements. Case studies are presented at the end of the paper to give the reader a numerical perspective on the design process of this class of positive displacement machines.

Sign in / Sign up

Export Citation Format

Share Document