Relevant bibliographies by topics / Buckingham-pi theorem

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers
  5. Reports

Academic literature on the topic 'Buckingham-pi theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 12 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Buckingham-pi theorem.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Buckingham-pi theorem"

1

Sánchez-Escalona, Andres, Ever Góngora-Leyva, and Yanan Camaraza-Medina. "Monoethanolamine Heat Exchangers Modeling Using the Buckingham Pi Theorem." Mathematical Modelling of Engineering Problems 6, no. 2 (2019): 197–202. http://dx.doi.org/10.18280/mmep.060207.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Hassanien, I. A., A. A. Salama, and H. A. Hosham. "Analytical and numerical solutions of generalized Burgers' equation via Buckingham's Pi-theorem." Canadian Journal of Physics 83, no. 10 (2005): 1035–49. http://dx.doi.org/10.1139/p05-051.

Full text
Abstract:
A generalized dimensional analysis performed by using Buckingham's Pi-theorem for the generalized Burgers' equation is presented. The application of the Buckingham Pi-theorem is used to reduce the governing partial differential equation with the boundary and initial conditions to an ordinary differential equation with appropriate corresponding conditions. By using a scaling invariant we simplify the similarity solutions, which are discussed for a specific choice of boundary conditions, and yield analytical solutions, which are in closed form. Also, using extended one-step methods of order five we solve the final ordinary differential equations. This criterion for solvability involves converting the boundary value problem to an initial value problem. PACS Nos.: 02.60.Lj, 47.27.Jv
APA, Harvard, Vancouver, ISO, and other styles
3

DE IZARRA, C., J. CAILLARD, and O. VALLÉE. "TRANSITION FROM THE SEDOV–TAYLOR BLAST WAVE SOLUTION UP TO THE SOUND WAVE." Modern Physics Letters B 16, no. 03 (2002): 69–72. http://dx.doi.org/10.1142/s0217984902003543.

Full text
Abstract:
In the case of a spherical blast wave described by the Sedov–Taylor model in an ideal gas, we apply the Vashy–Buckingham theorem (Pi theorem) to take into account the pressure of the medium at rest, and consequently the internal energy of the gas at rest. We obtain a single formula which contains the full time behavior of the explosion from the very beginning (Sedov–Taylor solution) up to the sound wave, therefore describing analytically the transition phase from t = 0 until t → ∞.
APA, Harvard, Vancouver, ISO, and other styles
4

Chaichana, Chatchawan, and Surasit Thiangchanta. "The heat load modelling for an air-conditioned room using Buckingham-Pi theorem." Energy Reports 6 (December 2020): 656–61. http://dx.doi.org/10.1016/j.egyr.2020.11.159.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Ndukwu, M. C., and S. N. Asoegwu. "A mathematical model for predicting the cracking efficiency of vertical-shaft centrifugal palm nut cracker." Research in Agricultural Engineering 57, No. 3 (2011): 110–15. http://dx.doi.org/10.17221/38/2010-rae.

Full text
Abstract:
A mathematical model for predicting the cracking efficiency of vertical-shaft palm nut cracker was presented using dimensional analysis based on the Buckingham’s π theorem. A high coefficient of determination of 94.3% between the predicted and measured values showed that the method is good. The model was validated with data from existing palm nut cracker and there was no significant difference between the experimental cracking efficiency with the predicted values at 5% level of significance.
APA, Harvard, Vancouver, ISO, and other styles
6

Reddy, G. Maheedhara, and V. Diwakar Reddy. "Theoretical Investigations on Dimensional Analysis of Ball Bearing Parameters by Using Buckingham Pi-Theorem." Procedia Engineering 97 (2014): 1305–11. http://dx.doi.org/10.1016/j.proeng.2014.12.410.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Mozumdar, S., and O. Islam. "New Nondimensional Parameters in Fluid Mechanics and Their Application to Turbine Flowmeter Data Analysis." Journal of Engineering for Gas Turbines and Power 121, no. 2 (1999): 249–53. http://dx.doi.org/10.1115/1.2817113.

Full text
Abstract:
Dimensional analysis has been used in experimental fluid mechanics for over a hundred years. Controllable and uncontrollable variables in an experiment can be efficiently organized into nondimensional groups or parameters. Such nondimensional parameters are used for geometric scaling, and for developing dynamic similitude in experimental processes. Commonly used nondimensional parameters in fluid mechanics include Reynolds number, Mach number, Froude number, Weber number, Strouhal number, etc. Most modern text books and technical papers discuss the use of Buckingham Pi theorem for developing the nondimensionalization process. An often ignored and somewhat older technique is the Rayleigh method. Both the Pi theorem and the Rayleigh method are founded on the principle of dimensional homogeneity, and require some experience in the grouping of physical variables. The present paper uses the Rayleigh method to develop two new nondimensional parameters. A discussion is presented about the use of the parameters in the application of turbine flowmeter calibration and test data analysis. It is shown that data analysis for turbine flowmeters is considerably simplified by the use of the new parameters.
APA, Harvard, Vancouver, ISO, and other styles
8

Nemitallah, Medhat, and Meamer El-Nakla. "Fluid to Fluid Modeling for Post Dry Out Using Dimensional Analysis and Energy Scaling." Applied Mechanics and Materials 302 (February 2013): 42–48. http://dx.doi.org/10.4028/www.scientific.net/amm.302.42.

Full text
Abstract:
In this work, both dimensional analyses using Buckingham Pi-theorem and scaling of the energy equation have been applied successfully in fluid to fluid modeling for post dry out to model the Freon (R-134a) data available in the literature and convert it to water equivalent data. Also the results are compared with the available data in the literature for water. Experimental data sets in two fluids are assumed to be equivalent if the values of the dimensionless groups are equal for both fluids. Both methods are used and the results are compared with the experimental data at different operating conditions. The Katto and the Ahmad modeling dimensionless parameters coming from the analysis using Pi-theorem predicted successfully the equivalent data of water at moderate mass fluxes. However, at too high or low mass fluxes, this method deviated from the experimental data. However, the fluid to fluid modeling using the scaling of energy equation is applicable at any operating conditions and the results are too close to the experimental data.
APA, Harvard, Vancouver, ISO, and other styles
9

Polverino, Pierpaolo, Giovanni Bove, Marco Sorrentino, Cesare Pianese, and Davide Beretta. "Advancements on scaling-up simulation of Proton Exchange Membrane Fuel Cells impedance through Buckingham Pi theorem." Applied Energy 249 (September 2019): 245–52. http://dx.doi.org/10.1016/j.apenergy.2019.04.067.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Li, Yuan. "On the Deduction and the Application of Dynamic Similarity Criteria of Steel Structure under Large Deformation Condition." Advanced Materials Research 512-515 (May 2012): 1957–60. http://dx.doi.org/10.4028/www.scientific.net/amr.512-515.1957.

Full text
Abstract:
Dynamic similarity criteria for large deformation of huge steel structure were derived according to Dimensional Matrix Analysis of the Buckingham Pi theorem and the similarity relations that must be satisfied by the physical quantities of model and prototype in huge steel structure model test are obtained. The 1/50 scale model of TC power is designed and made based on the similarity theory and the dynamic experiment is done. The calculation data with similarity theory are in agreement with that of experiment. So the model test can substitute for prototype test when they satisfy the similarity relations. A new way to solve dynamic analysis problem of huge steel structure is explored.
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Buckingham-pi theorem"

1

Gilbert, Gregory S. Jr. "Scaling a Prismatic Revolute Joint (Pr) Manipulator Using Similitude and Buckingham Pi Techniques." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36599.

Full text
Abstract:
This thesis presents scaling methods for sizing a prototype micro prismatic revolute (PR) manipulator actuated by permanent magnet (PM) direct current (d.c.) gearmotors. Dimensional analysis was the principle tool used in this investigation, and addressed the problems of scaling a trajectory planner, control law, and gearmotors that exhibit internal nonlinear friction. Similitude methods were used to develop a scaleable two degree-of-freedom trajectory planner from a third order polynomial. Scaling laws were developed from Buckingham's Pi theorem to facilitate the selection process of gearmotors. Nondimensional, nonlinear, differential equations were developed to describe viscous, Coulomb and static friction in comparative PM d.c. motors. From the insights gained through dimensional analysis, a scaleable controller based on the computed torque method was developed and implemented with a cubic trajectory planner. Model and prototype PR manipulator systems were simulated using a hybrid Matlab/Simulink simulation scheme. Experimental systems were constructed with dissimilar model and prototype motors. Control was provided by an AT class PC equipped with 12-bit A/D, D/A cards operating at a sample rate of 100 Hz. The control algorithm was written in Borland 3.1 C for DOS. Results from the experimental testing showed excellent agreement between the test and simulated data and verified the viability of the scaling laws. The techniques presented in this thesis are expected to be applicable to any application that involves scaling PM d.c. micro gearmotors that have significant internal friction terms. These simple, practical tools should be especially beneficial to designers of micro robotic systems.<br>Master of Science
APA, Harvard, Vancouver, ISO, and other styles
2

Van, der Merwe Schalk Willem. "A MEMS based valveless micropump for biomedical applications." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/4230.

Full text
Abstract:
Thesis (MScEng (Mechanical and Mechatronic Engineering))--University of Stellenbosch, 2010.<br>ENGLISH ABSTRACT: The valveless micropump holds great potential for the biomedical community in applications such as drug delivery systems, blood glucose monitoring and many others. It is also a critical component in many a lab-on-a-chip device, which in turn promises to improve our treatment and diagnosis capabilities for diseases such as diabetes, tuberculosis, and HIV/AIDS. The valveless micropump has attracted attention from researchers on the grounds of its simple design, easy manufacturability and sensitive fluid handling characteristics, which are all important in biomedical applications. The pump consists of a pump chamber with a diffuser and nozzle on opposing sides of the pump chamber. The flow into the diffuser and nozzle is induced by an oscillating piezoelectric disc located on top of the pump chamber. The nozzle and diffuser rectify the flow in one direction, due to different pressure loss coefficients. The design process however is complex. In this study, we investigate the characteristics of a diffuser / nozzle based micropump using detailed computational fluid dynamic (CFD) analyses. Significant parameters are derived using the Buckingham-Pi theorem. In part based on this, the respective shapes of the diffuser and of the nozzle of the micropump are selected for numerical investigation. Hence the influence of the selected parameters on the flow rate of the micropump is studied using three-dimensional transient CFD analyses. Velocity profiles from the CFD simulations are also compared to the Jeffery-Hamel solution for flow in a wedge shaped channel. Significant similarities exist between the data and the predicted Jeffery-Hamel velocity profiles near the exit of the diffuser. Three different diffuser geometries were simulated at three frequencies. The flow rate and direction of flow are shown to be highly sensitive to inlet and outlet diffuser shapes, with the absolute flow rate varying by as much as 200% for the geometrical perturbations studied. Entrance losses at both the diffuser inlet and nozzle inlet appear to dominate the flow resistance at extremely laminar flow conditions with the average Reynolds number of Reave ≈ 500.<br>AFRIKAANSE OPSOMMING: Die kleplosemikropomp hou groot potensiaal in vir die biomediese gemeenskap in toepassings soos medisyne dosering sisteme, bloed glukose monitering en baie ander. Dit is ook ’n kritiese komponent in “lab-on-chip” sisteme, wat beloof om die behandeling en diagnose van siektes soos suikersiekte, tuberkulose enMIV/VIGS te verbeter. Die kleplose mikropomp het tot dusver die aandag van navorsers geniet as gevolg van sy eenvoudige ontwerp, maklike vervaardiging en sensitiewe vloeistof hantering. Hierdie kenmerke is krities inmenige biomediese toepassings. Die pomp bestaan uit ’n pompkamer met ’n diffusor en ’n mondstuk aan teenoorstaande kante van die pompkamer. Vloei in die diffusor en mondstuk in word geinduseer deur ’n ossillerende piëso-elektiese skyf wat bo-op die pompkamer geleë is. Weens verskillende druk verlies koëffisinëte van die diffusor en diemondstuk word die vloei in een rigting gerig. Die ontwerp-proses is egter kompleks. In hierdie studie word die eienskappe van die diffusor /mondstuk ondersoek deur gebruik temaak van gedetailleerde numeriese vloei-dinamiese analises. Belangrike parameters word afgelei deur gebruik te maak van die Buckingham-Pi teorema. Gedeeltelik gebaseer hierop word die onderskeidelike vorms van die diffusor en die mondstuk van die mikropomp geselekteer vir numeriese ondersoek. Gevlolglik word die invloed van die geselekteerde parameters op die vloei tempo van diemikropomp ondersoek deur gebruik temaak van drie-dimensionele tyd afhanklike numeriese vloei-dinamiese analises. Snelheids profiele van hierdie simulasiesword vergelykmet die Jeffrey-Hamel oplossing vir die vloei in ’n wigvormige kanaal. Daar is oorwegende ooreenkomstighede tussen hierdie data en die voorspelde Jeffrey-Hamel snelheids profiele veral by die uitgang van die diffusor. Drie verskillende diffusor vorms is by drie frekwensies gesimuleer. Daar is bewys dat die vloei tempo en vloeirigting baie sensitief is vir inlaat- en uitlaat diffusor vorms en dat die absolute vloei tempo kan varieermet soveel as 200%vir die geometriese versteuringswat ondersoek is. Inlaat verliese by beide die diffusor inlaat en die mondstuk inlaat, blyk om die vloei weerstand te domineer waar die vloei uiters laminêr ismet ’n gemiddelde Reynolds getal van Regem ≈ 500
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Buckingham-pi theorem"

1

Ravindranatha Reddy, P., G. Jayachandra Reddy, and G. Prasanthi. "Mathematical Modeling of Material Removal Rate Using Buckingham Pi Theorem in Electrical Discharge Machining of Hastelloy C276." In Advances in Applied Mechanical Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1201-8_90.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Bhargavi, Y., and V. Diwakar Reddy. "Dimensional Analysis of Form Drilling Parameters by Buckingham Pi Theorem and Optimization of Heat Generation in Form Drilling Process by Taguchi." In Intelligent Manufacturing and Energy Sustainability. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1616-0_61.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

"Development of Model Laws from the Buckingham Pi Theorem." In Similarity Methods in Engineering Dynamics - Theory and Practice of Scale Modeling. Elsevier, 1991. http://dx.doi.org/10.1016/b978-0-444-88156-4.50008-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

"Tau Equations: An Alternative to Buckingham's Pi Theorem." In Progress in Fluid Flow Research: Turbulence and Applied MHD. American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/5.9781600866531.0375.0387.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Buckingham-pi theorem"

1

Mozumdar, Subir, and Obaidul Islam. "New Non-Dimensional Parameters in Fluid Mechanics and Their Application to Turbine Flowmeter Data Analysis." In ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/98-gt-486.

Full text
Abstract:
Dimensional analysis has been used in experimental fluid mechanics for over a hundred years. Controllable and uncontrollable variables in an experiment can be efficiently organized into nondimensional groups or parameters. Such nondimensional parameters are used for geometric scaling, and for developing dynamic similitude in experimental processes. Commonly used nondimensional parameters in fluid mechanics include Reynold’s No., Mach No., Froude No., Weber No., Strouhal No., etc. Most modern text books and technical papers discuss the use of Buckingham Pi Theorem for developing the nondimensionalization process. An often ignored and somewhat older technique is the Rayleigh Method. Both the Pi Theorem and the Rayleigh Method are founded on the Principle of Dimensional Homogeneity, and require some experience in the grouping of physical variables. The present paper uses the Rayleigh method to develop two new nondimensional parameters. A discussion is presented about the use of the parameters in the application of turbine flowmeter calibration and test data analysis. It is shown that data analysis for turbine flowmeters is considerably simplified by the use of the new parameters.
APA, Harvard, Vancouver, ISO, and other styles
2

Munroe, Norman, George Philippidis, Puneet K. Singh Gill, et al. "Submerged Jet Mixing of Non-Newtonian Fluids in a Waste Tank." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-10379.

Full text
Abstract:
Unsteady jet mixing of Non-Newtonian fluids was investigated in order to develop a mixing correlation for treatment of stored radioactive waste prior to disposal. The radioactive waste was simulated by using carbopol mixtures, which possess both Newtonian and Non-Newtonian fluid rheological characteristics. A particle image velocimetry (PIV) technique with high spatial and temporal resolution was used to measure jet axial velocity, vector field velocity, and mixing properties of the carbopol mixtures. The relationship between the decaying jet axial velocity, tank geometry, fluid rheology and initial jet velocity were determined. A mathematical correlation was developed to estimate jet velocity in submerged jet-agitated tanks using the Buckingham Pi theorem and Dimensionless Numbers that influence the jet velocity and agitation in the tank.
APA, Harvard, Vancouver, ISO, and other styles
3

Argarin, Joselito D., and Stephen Hambric. "Using Fluid Velocity in Lieu of Impeller Speed for Dimensional Analysis and a Method for Estimating Fluidborne Noise Due to Flow Turbulence Within Centrifugal Pumps." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41183.

Full text
Abstract:
An empirical method for estimating fluidborne broadband noise associated with flow turbulence within centrifugal pumps is considered in this paper. Given the flow rate, developed head and the operating speed, an estimate of the pump’s fluidborne broadband noise can be made using the method. The method is developed by correlating the noise performance of centrifugal pumps with different specific speeds to the pump parameters (i.e. impeller dimensions and hydraulic performance). The correlation is achieved by using dimensional analysis, where the Buckingham Pi theorem is applied to relate the acoustic signature of the pump to the characteristics of the pump. Similar analysis had previously been performed on centrifugal pumps using air as a medium. The studies evaluated pumps at different flow coefficients of the same pump speed. To some extent, aerodynamic noise was correlated to the impeller tip speed. However, simply using the impeller tip speed may not be accurate. This paper offers an alternate method in relating noise, where instead of the impeller speed, the actual fluid velocity is calculated and used in the analysis.
APA, Harvard, Vancouver, ISO, and other styles
4

Tang, Chengzhi, and Theodore J. Heindel. "Similitude Analysis for Gas-Liquid-Fiber Flows in Cocurrent Bubble Columns." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98096.

Full text
Abstract:
Gas-liquid-fiber systems are different from conventional gas-liquid-solid systems in that the solid material (i.e., fiber) is flexible, has a large aspect ratio, and forms flocs or networks when its mass fraction is above a critical value. With its wide application to the pulp and paper industry, it is important to investigate the hydrodynamics of gas-liquid-fiber systems. In this paper, 19 parameters that influence gas holdup in gas-liquid-fiber bubble columns are critically examined and then a dimensional analysis based on the Buckingham Pi Theorem is used to derive the dimensionless parameters governing gas-liquid-fiber bubble column hydrodynamics. Seven dimensionless parameters that are related to the fiber effects on gas holdup are further analyzed, and a single dimensionless parameter combining these dimensionless parameters is derived based on a force analysis and experimental results. This dimensionless parameter is shown to be sufficient to quantify the influence of fiber on gas holdup in gas-liquid-fiber cocurrent bubble columns. It also reduces the number of parameters needed in correlating experimental gas holdup data in gas-liquid-fiber bubble columns.
APA, Harvard, Vancouver, ISO, and other styles
5

Park, David, and Francine Battaglia. "Small and Full-Scale Modeling for the Application of Wall Solar Chimneys." In ASME 2016 Fluids Engineering Division Summer Meeting collocated with the ASME 2016 Heat Transfer Summer Conference and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/fedsm2016-7639.

Full text
Abstract:
A solar chimney is a natural ventilation technique that has a potential to save energy consumption as well as to maintain the air quality in the building. However, studies of buildings are often challenging due to their large sizes. The objective of the current study was to determine relationships between small- and full-scale solar chimney system models. In the current work, computational fluid dynamics (CFD) was utilized to model different building sizes with a solar chimney system, where the computational model was validated with the experimental study of Mathur et al. The window, which controls entrainment of ambient air, was also studied to determine the effects of window position. Correlations for average velocity ratio and non-dimensional temperature were consistent regardless of window position. Buckingham pi theorem was employed to further non-dimensionalize the important variables. Regression analysis was conducted to develop a mathematical model to predict a relationship among all of the variables, where the model agreed well with simulation results with an error of 2.33%. The study demonstrated that the flow and thermal conditions in larger buildings can be predicted from the small-scale model.
APA, Harvard, Vancouver, ISO, and other styles
6

Ohtake, Hiroyasu, Tomoyasu Tanaki, and Yasuo Koizumi. "Heat Transfer Characteristics in Mist Cooling With Machining Oil." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-82311.

Full text
Abstract:
Heat transfer characteristics in mist cooling with commercial machining oil were investigated experimentally. Steady state experiments of heat transfer were conducted using a pure copper cylinder and mist flow of commercial machining oil and air. Liquid flow rate was 0.3, 0.9, 1.8, 4 and 8 l/hr, respectively; each air flow rate was 0, 40, 75 and 120 lN/min. Furthermore, liquid mass flux on the heating surface for each experimental condition was measured by using a measuring cylinder with same diameter as the heater. Average velocity of droplets and average diameter of those were measured by using a laser doppler anemometer and immersion method, respectively. The heat transfer mechanism in oil mist was only cooling of liquid film formed on a heated surface, whereas the heat transfer mechanism in water mist cooling was classified into three regions. The heat transfer coefficient in the oil mist was well expressed by the heat removal capacity on sensible heat of supplying oil-droplets to the heated surface. Four dimensionless correlations were derived from a dimension analysis, Buckingham Pi theorem, and experimental data for both water mist and the oil mist.
APA, Harvard, Vancouver, ISO, and other styles
7

Igbokwe, Loveday, and Michael Edwin. "Slug Frequency Prediction Model for Fluid Flow in Flowline Bends." In SPE Nigeria Annual International Conference and Exhibition. SPE, 2021. http://dx.doi.org/10.2118/208233-ms.

Full text
Abstract:
Abstract The prediction of slug frequency for two-phase slug flow during multiphase transportation of oil reservoir productions is crucial in the design of slug controllers for petroleum processing installations. Mechanistic based slug prediction models have not had much successful application due to the difficulty in modelling the non-linear interface motion during slug development. The mechanism of slugging in offshore flowline-riser is complicated and requires rigorous experimental sampling and testing. This process can be time-consuming and costly. In this study, a new correlation is developed for the prediction of severe slugging frequency. The new model is developed based on the results of scaled experimental design. Dimensional analysis approach using the Buckingham pi-theorem is used in developing the two-phase correlation. The model development involves non-dimensional empirical correlations in terms of relevant dimensionless groups, which are obtained based on the design of the experiment. A broad range of experimental data from 10 varied choke opening size was used. The new correlation predicts 92.3% of the measurements within ±8% absolute error and the mean absolute deviation of the correlation is about 6.13%. The newly developed correlation can be applied for flow rates between 0.1 kg/s and 0.6 kg/s and choke openings between 10-98%.
APA, Harvard, Vancouver, ISO, and other styles
8

Wallat, Stefan, Clemens B. Domnick, Christian Musch, and Dieter Brillert. "A Test Rig Concept to Study Fluid Structure Interactions in a Steam Turbine Valve." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75094.

Full text
Abstract:
The power output of steam turbines is controlled by steam turbine inlet valves. These valves have a large flow capacity and dissipate a huge amount of energy in throttled operation mode. The dissipation process generates strong pressure fluctuations and leads to high dynamic forces potentially causing valve vibrations. A brief survey of the literature dealing with valve vibrations reveals that vibrational problems and damages mostly occur in throttled operation when jets, shocks and shear layers are present. Previous investigations of the authors reveal a feedback mechanism between the dynamic flow field and the vibrating valve plug. Depending on the flow topologies either axial or lateral forces will dominate the force spectrum. In this paper the design of a test rig including a scaled model of a steam valve is described. As it is difficult to analyse lateral forces in conventional experiments the model is designed not only to study the flow conditions but also the lateral and axial movement of the valve plug. To investigate and model the dynamic characteristic of the valve the entire periphery including the mechanical drive, sealing etc. needs to be considered. To ensure that fluid–structure-interactions are correctly scaled, dimensionless numbers derived with the Buckingham Pi Theorem are used as design criteria. Positions of the transmitters are selected based on results of numerical simulations.
APA, Harvard, Vancouver, ISO, and other styles
9

Duan, Zhixuan, Alireza Kalantari, and Vincent McDonell. "Parametric Analysis of Flashback Propensity With Various Fuel Compositions and Burner Materials." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-43629.

Full text
Abstract:
Flashback is a key operability issue for low NOx premixed combustion of hydrogen enriched fuels. Previous work has systematically investigated the impact of fuel composition on flashback propensity and noted the coupling of flashback with burner tip temperature. It led to models for critical velocity gradient as an indicator of flashback propensity as a function of parameters studied, such as fuel composition, burner tip temperature and laminar flame speed, etc. The present work further analyzes existing data and develops an empirical physical model for flashback propensity as a function of dimensionless groups. A comprehensive parameter screening is conducted and the potential variables determining flashback behavior are catalogued into five types: operational parameters, unburnt conditions, ambient conditions, rig properties and others. The objective of the analysis is to predict the critical operational parameters with given unburnt conditions which are generally known to the hardware designer. Other factors, such as ambient conditions and rig properties might also affect the prediction performance. To account for such factors, a dimensional analysis is conducted based on Buckingham Pi theorem. The critical Damköhler number is selected as the indicator of flashback propensity and a model is developed suggesting the significance of preferential diffusion (Le), heat loss (TuT0), thermal coupling effect (TtipTu) and flame Péclet number (Pef) as follows: Da = Const. · Le -6.12 · T u T 0 -1.71 · T tip T u -3.69 Pe f 1.89 · f 1 θ ′ d · f 2 P u P 0 Finally, preliminary results for pressure effects are presented.
APA, Harvard, Vancouver, ISO, and other styles
10

Behkam, Bahareh, and Metin Sitti. "E. Coli Inspired Propulsion for Swimming Microrobots." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59621.

Full text
Abstract:
Medical applications are among the most fascinating areas of microrobotics. For long, scientists have dreamed of miniature smart devices that can travel inside the human body and carry out a host of complex operations such as minimally invasive surgery (MIS), highly localized drug delivery, and screening for diseases that are in their very early stages. Still a distant dream, significant progress in micro and nanotechnology brings us closer to materializing it. For such a miniature device to be injected into the body, it has to be 800 μm or smaller in diameter. Miniature, safe and energy efficient propulsion systems hold the key to maturing this technology but they pose significant challenges. Scaling the macroscale natation mechanisms to micro/nano length scales is unfeasible. It has been estimated that a vibrating-fin driven swimming robot shorter than 6 mm can not overcome the viscous drag forces in water. In this paper, the authors propose a new type of propulsion inspired by the motility mechanism of bacteria with peritrichous flagellation, such as Escherichia coli, Salmonella typhimurium and Serratia marcescens. The perfomance of the propulsive mechanism is estimated by modeling the dynamics of the motion. The motion of the moving organelle is simulated and key parameters such as velocity, distribution of force and power requirments for different configurations of the tail are determined theoretically. In order to validate the theoretical result, a scaled up model of the swimming robot is fabricated and characterized in silicone oil using the Buckingham PI theorem for scaling. The results are compared with the theoretically computed values. These robots are intended to swim in stagnation/low velocity biofluid and reach currently inaccessible areas of the human body for disease inspection and possibly treatment. Potential target regions to use these robots include eyeball cavity, cerebrospinal fluid and the urinary system.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Buckingham-pi theorem"

1

Patel, Reena, David Thompson, Guillermo Riveros, Wayne Hodo, John Peters, and Felipe Acosta. Dimensional analysis of structural response in complex biological structures. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41082.

Full text
Abstract:
The solution to many engineering problems is obtained through the combination of analytical, computational and experimental methods. In many cases, cost or size constraints limit testing of full-scale articles. Similitude allows observations made in the laboratory to be used to extrapolate the behavior to full-scale system by establishing relationships between the results obtained in a scaled experiment and those anticipated for the full-scale prototype. This paper describes the application of the Buckingham Pi theorem to develop a set of non-dimensional parameters that are appropriate for describing the problem of a distributed load applied to the rostrum of the paddlefish. This problem is of interest because previous research has demonstrated that the rostrum is a very efficient structural system. The ultimate goal is to estimate the response of a complex, bio-inspired structure based on the rostrum to blast load. The derived similitude laws are verified through a series of numerical experiments having a maximum error of 3.39%.
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography