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An Introduction to Inhomogeneous Liquids, Density Functional Theory, and the Wetting Transition Adam P
An introduction to inhomogeneous liquids, density functional theory, and the wetting transition Adam P. Hughes, Uwe Thiele, and Andrew J. Archer Citation: American Journal of Physics 82, 1119 (2014); doi: 10.1119/1.4890823 View online: http://dx.doi.org/10.1119/1.4890823 View Table of Contents: http://scitation.aip.org/content/aapt/journal/ajp/82/12?ver=pdfcov Published by the American Association of Physics Teachers Articles you may be interested in Density functional theory of inhomogeneous liquids. II. A fundamental measure approach J. Chem. Phys. 128, 184711 (2008); 10.1063/1.2916694 Mean-field density-functional model of a second-order wetting transition J. Chem. Phys. 128, 114716 (2008); 10.1063/1.2895748 Surface phase transitions in athermal mixtures of hard rods and excluded volume polymers investigated using a density functional approach J. Chem. Phys. 125, 204709 (2006); 10.1063/1.2400033 Homogeneous nucleation at high supersaturation and heterogeneous nucleation on microscopic wettable particles: A hybrid thermodynamic∕density-functional theory J. Chem. Phys. 125, 144515 (2006); 10.1063/1.2357937 Perfect wetting along a three-phase line: Theory and molecular dynamics simulations J. Chem. Phys. 124, 244505 (2006); 10.1063/1.2206772 This article is copyrighted as indicated in the article. Reuse of AAPT content is subject to the terms at: http://scitation.aip.org/termsconditions. Downloaded to IP: 128.176.202.20 On: Wed, 03 Dec 2014 08:24:19 An introduction to inhomogeneous liquids, density functional theory, and the wetting transition Adam P. Hughes Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom Uwe Thiele Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom and Institut fur€ Theoretische Physik, Westfalische€ Wilhelms-Universitat€ Munster,€ Wilhelm Klemm Str. -
Different Types of Rocket Nozzles
Different Types of Rocket Nozzles 5322- Rocket Propulsion Project Report By Patel Harinkumar Rajendrabhai(1001150586) 1. Introduction 1.1 What is Nozzle and why they are used? A nozzle is a device designed to control the direction or characteristics of a fluid flow (especially to increase velocity) as it exits (or enters) an enclosed chamber or Pipe[9]. Nozzles are frequently used to control the rate of flow, speed, direction, mass, shape, and/or the pressure of the stream that emerges from them. In nozzle velocity of fluid increases on the expense of its pressure energy. A Water Nozzle[9] Rotator Style Pivot Sprinkler[9] 1.2 What is Rocket Nozzle? A rocket engine nozzle is a propelling nozzle (usually of the de Laval type) used in a rocket engine to expand and accelerate the hot gases from combustion so as to produce thrust according to Newton’s law of motion. Combustion gases are produced by burning the propellants in combustor, they exit the nozzle at very high Speed (hypersonic). 1.3 Properties of Rocket Nozzle Nozzle produces thrust. Exhaust gases from combustion are pushed into throat region of nozzle. Throat is smaller cross-sectional area than rest of engine, gases are compressed to high pressure. Nozzle gradually increases in cross-sectional area allowing gases to expand and push against walls creating thrust. Convert thermal energy of hot chamber gases into kinetic energy and direct that energy along nozzle axis.[1] Mathematically, ultimate purpose of nozzle is to expand gases as efficiently as possible so as to maximize exit velocity.[1] Rocket Engine[1] F m eVe Pe Pa Ae Neglecting Pressure losses F m eVe 2 Different types of Rocket Nozzle Configuration(shape) The rocket nozzles can have many shapes configurations. -
Effect of Temperature on Wetting Angle
San Jose State University SJSU ScholarWorks Faculty Publications, Biomedical, Chemical, and Biomedical, Chemical and Materials Materials Engineering Engineering 7-1-1997 Effect of Temperature on Wetting Angle Guna S. Selvaduray San Jose State University, [email protected] R. Brindos San Jose State University Follow this and additional works at: https://scholarworks.sjsu.edu/chem_mat_eng_pub Part of the Chemical Engineering Commons Recommended Citation Guna S. Selvaduray and R. Brindos. "Effect of Temperature on Wetting Angle" National Educators' Workshop: Update 96 - Standard Experiments in Engineering Materials Science and Technology, NASA Publication 3354 (1997): 137-151. This Article is brought to you for free and open access by the Biomedical, Chemical and Materials Engineering at SJSU ScholarWorks. It has been accepted for inclusion in Faculty Publications, Biomedical, Chemical, and Materials Engineering by an authorized administrator of SJSU ScholarWorks. For more information, please contact [email protected]. NASA Conference Publication 3354 National Educators' Workshop: Update 96 Standard Experiments.in Engineering Materials Science and Technology Compiled by James E. Gardner and Ginger L. Freeman Langle~; Research Center • Hampton, Virginia James A. Jacobs Norfolk State University • Norfolk, Virginia Don M. Parkin Los Alamos National Laboratory • Los Alamos, New Mexico Proceedings of a workshop sponsored jointly by the United States Department of Energy, Los Alamos, New Mexico, the National Aeronautics and Space Administration, -
2021 Maeap Cost Share Application
www.mason-lakeconservation.org www.manisteecd2.org 2021 MAEAP COST SHARE APPLICATION Instructions: Fill out top section and give to your local MAEAP Technician for cost-share consideration Participant Name: MAEAP cost share is available to farms in Business name: Mason, Manistee, and Western Lake Address: counties to help assist with achieving MAEAP verification. Farms eligible to apply, must be one or two practices away Phone: from MAEAP verification. All MAEAP Township, County: projects approved for cost share will Tell us about your resource concern, and how you receive a 50% reimbursement, up to a will use MAEAP cost-share: maximum of $500 per producer. Eligible items for 2021 Cost Share Impermeable surface for fuel transfer HDPE plastic or rubber liner Producer Signature: Stationary double wall tank or Date: container exceeding the volume of dry or liquid product(s) stored Actual practice cost: Building modification 50% cost-share amount: Anti-backflow valve Technician’s description of farm’s progress Mobile nurse tank towards verification goals: Plumbing extension for clean water or rinse water Excavation/earthwork Vegetation planting Board Signature: Livestock fencing Effective Date: Soil Samples District Manager’s Signature: Abandoned/unused well Closure Check Printing Date: All Conservation District programs and services are offered on a nondiscriminatory basis without regard to race, color, national origin, religion, sex, age, marital status, or handicap. MAEAP Practice Description of Cost Share Item Impermeable -
Wetting−Dewetting Transition Line in Thin Polymer Films K
Subscriber access provided by NATL INST STANDARDS & TECH Research Article Wetting−Dewetting Transition Line in Thin Polymer Films K. M. Ashley, D. Raghavan, J. F. Douglas, and A. Karim Langmuir, 2005, 21 (21), 9518-9523• DOI: 10.1021/la050482y • Publication Date (Web): 09 September 2005 Downloaded from http://pubs.acs.org on February 10, 2009 More About This Article Additional resources and features associated with this article are available within the HTML version: • Supporting Information • Links to the 9 articles that cite this article, as of the time of this article download • Access to high resolution figures • Links to articles and content related to this article • Copyright permission to reproduce figures and/or text from this article Langmuir is published by the American Chemical Society. 1155 Sixteenth Street N.W., Washington, DC 20036 9518 Langmuir 2005, 21, 9518-9523 Wetting-Dewetting Transition Line in Thin Polymer Films K. M. Ashley,† D. Raghavan,*,† J. F. Douglas,*,‡ and A. Karim*,‡ Polymer Program, Department of Chemistry, Howard University, Washington, DC 20059, and Polymers Division, National Institute of Standards and Technology, Gaithersburg, Maryland 20899 Received February 23, 2005. In Final Form: June 14, 2005 Thin polymeric films are increasingly being utilized in diverse technological applications, and it is crucial to have a reliable method to characterize the stability of these films against dewetting. The parameter space that influences the dewetting of thin polymer films is wide (molecular mass, temperature, film thickness, substrate interaction) and a combinatorial method of investigation is suitable. We thus construct a combinatorial library of observations for polystyrene (PS) films cast on substrates having orthogonal temperature and surface energy gradients and perform a series of measurements for a range of molecular masses (1800 g/mol < M < 35 000 g/mol) and film thicknesses h (30 nm < h < 40 nm) to explore these primary parameter axes. -
Rocket Nozzles: 75 Years of Research and Development
Sådhanå Ó (2021) 46:76 Indian Academy of Sciences https://doi.org/10.1007/s12046-021-01584-6Sadhana(0123456789().,-volV)FT3](0123456789().,-volV) Rocket nozzles: 75 years of research and development SHIVANG KHARE1 and UJJWAL K SAHA2,* 1 Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway 2 Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India e-mail: [email protected]; [email protected] MS received 28 August 2020; revised 20 December 2020; accepted 28 January 2021 Abstract. The nozzle forms a large segment of the rocket engine structure, and as a whole, the performance of a rocket largely depends upon its aerodynamic design. The principal parameters in this context are the shape of the nozzle contour and the nozzle area expansion ratio. A careful shaping of the nozzle contour can lead to a high gain in its performance. As a consequence of intensive research, the design and the shape of rocket nozzles have undergone a series of development over the last several decades. The notable among them are conical, bell, plug, expansion-deflection and dual bell nozzles, besides the recently developed multi nozzle grid. However, to the best of authors’ knowledge, no article has reviewed the entire group of nozzles in a systematic and comprehensive manner. This paper aims to review and bring all such development in one single frame. The article mainly focuses on the aerodynamic aspects of all the rocket nozzles developed till date and summarizes the major findings covering their design, development, utilization, benefits and limitations. -
The Celestial Mechanics of Newton
GENERAL I ARTICLE The Celestial Mechanics of Newton Dipankar Bhattacharya Newton's law of universal gravitation laid the physical foundation of celestial mechanics. This article reviews the steps towards the law of gravi tation, and highlights some applications to celes tial mechanics found in Newton's Principia. 1. Introduction Newton's Principia consists of three books; the third Dipankar Bhattacharya is at the Astrophysics Group dealing with the The System of the World puts forth of the Raman Research Newton's views on celestial mechanics. This third book Institute. His research is indeed the heart of Newton's "natural philosophy" interests cover all types of which draws heavily on the mathematical results derived cosmic explosions and in the first two books. Here he systematises his math their remnants. ematical findings and confronts them against a variety of observed phenomena culminating in a powerful and compelling development of the universal law of gravita tion. Newton lived in an era of exciting developments in Nat ural Philosophy. Some three decades before his birth J 0- hannes Kepler had announced his first two laws of plan etary motion (AD 1609), to be followed by the third law after a decade (AD 1619). These were empirical laws derived from accurate astronomical observations, and stirred the imagination of philosophers regarding their underlying cause. Mechanics of terrestrial bodies was also being developed around this time. Galileo's experiments were conducted in the early 17th century leading to the discovery of the Keywords laws of free fall and projectile motion. Galileo's Dialogue Celestial mechanics, astronomy, about the system of the world was published in 1632. -
Curriculum Overview Physics/Pre-AP 2018-2019 1St Nine Weeks
Curriculum Overview Physics/Pre-AP 2018-2019 1st Nine Weeks RESOURCES: Essential Physics (Ergopedia – online book) Physics Classroom http://www.physicsclassroom.com/ PHET Simulations https://phet.colorado.edu/ ONGOING TEKS: 1A, 1B, 2A, 2B, 2C, 2D, 2F, 2G, 2H, 2I, 2J,3E 1) SAFETY TEKS 1A, 1B Vocabulary Fume hood, fire blanket, fire extinguisher, goggle sanitizer, eye wash, safety shower, impact goggles, chemical safety goggles, fire exit, electrical safety cut off, apron, broken glass container, disposal alert, biological hazard, open flame alert, thermal safety, sharp object safety, fume safety, electrical safety, plant safety, animal safety, radioactive safety, clothing protection safety, fire safety, explosion safety, eye safety, poison safety, chemical safety Key Concepts The student will be able to determine if a situation in the physics lab is a safe practice and what appropriate safety equipment and safety warning signs may be needed in a physics lab. The student will be able to determine the proper disposal or recycling of materials in the physics lab. Essential Questions 1. How are safe practices in school, home or job applied? 2. What are the consequences for not using safety equipment or following safe practices? 2) SCIENCE OF PHYSICS: Glossary, Pages 35, 39 TEKS 2B, 2C Vocabulary Matter, energy, hypothesis, theory, objectivity, reproducibility, experiment, qualitative, quantitative, engineering, technology, science, pseudo-science, non-science Key Concepts The student will know that scientific hypotheses are tentative and testable statements that must be capable of being supported or not supported by observational evidence. The student will know that scientific theories are based on natural and physical phenomena and are capable of being tested by multiple independent researchers. -
Density and Specific Weight Estimation for the Liquids and Solid Materials
Laboratory experiments Experiment no 2 – Density and specific weight estimation for the liquids and solid materials. 1. Theory Density is a physical property shared by all forms of matter (solids, liquids, and gases). In this lab investigation, we are mainly concerned with determining the density of solid objects; both regular-shaped and irregular-shaped. In general regular-shaped solid objects are those that have straight sides that can be measured using a metric ruler. These shapes include but are not limited to cubes and rectangular prisms. In general, irregular-shaped solid objects are those that do not have straight sides that cannot be measured with a metric ruler or slide caliper. The density of a material is defined as its mass per unit volume. The symbol of density is ρ (the Greek letter rho). m kg (1) V m3 The specific weight (also known as the unit weight) is the weight per unit volume of a material. The symbol of specific weight is γ (the Greek letter Gamma). W N (2) V m3 On the surface of the Earth, the weight W of an object is related to its mass m by: W = m · g, (3) where g is the acceleration due to the Earth's gravity, equal to about 9.81 ms-2. Using eq. 1, 2 and 3 we will obtain dependence between specific weight of the body and its density: g (4) Apparatus: Vernier caliper, balance with specific gravity platform (additional table in our case), 250 ml graduate beaker. Unknowns: a) Various solid samples (regular and irregular shaped) b) Light liquid sample (alcohol-water mixture) or heavy liquid sample (salt-water mixture). -
Modelling a Hypersonic Single Expansion Ramp Nozzle of a Hypersonic Aircraft Through Parametric Studies
energies Article Modelling a Hypersonic Single Expansion Ramp Nozzle of a Hypersonic Aircraft through Parametric Studies Andrew Ridgway, Ashish Alex Sam * and Apostolos Pesyridis College of Engineering, Design and Physical Sciences, Brunel University London, London UB8 3PH, UK; [email protected] (A.R.); [email protected] (A.P.) * Correspondence: [email protected]; Tel.: +44-1895-267-901 Received: 26 September 2018; Accepted: 7 December 2018; Published: 10 December 2018 Abstract: This paper aims to contribute to developing a potential combined cycle air-breathing engine integrated into an aircraft design, capable of performing flight profiles on a commercial scale. This study specifically focuses on the single expansion ramp nozzle (SERN) and aircraft-engine integration with an emphasis on the combined cycle engine integration into the conceptual aircraft design. A parametric study using computational fluid dynamics (CFD) have been employed to analyze the sensitivity of the SERN’s performance parameters with changing geometry and operating conditions. The SERN adapted to the different operating conditions and was able to retain its performance throughout the altitude simulated. The expansion ramp shape, angle, exit area, and cowl shape influenced the thrust substantially. The internal nozzle expansion and expansion ramp had a significant effect on the lift and moment performance. An optimized SERN was assembled into a scramjet and was subject to various nozzle inflow conditions, to which combustion flow from twin strut injectors produced the best thrust performance. Side fence studies observed longer and diverging side fences to produce extra thrust compared to small and straight fences. Keywords: scramjet; single expansion ramp nozzle; hypersonic aircraft; combined cycle engines 1. -
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2
Multidisciplinary Design Project Engineering Dictionary Version 0.0.2 February 15, 2006 . DRAFT Cambridge-MIT Institute Multidisciplinary Design Project This Dictionary/Glossary of Engineering terms has been compiled to compliment the work developed as part of the Multi-disciplinary Design Project (MDP), which is a programme to develop teaching material and kits to aid the running of mechtronics projects in Universities and Schools. The project is being carried out with support from the Cambridge-MIT Institute undergraduate teaching programe. For more information about the project please visit the MDP website at http://www-mdp.eng.cam.ac.uk or contact Dr. Peter Long Prof. Alex Slocum Cambridge University Engineering Department Massachusetts Institute of Technology Trumpington Street, 77 Massachusetts Ave. Cambridge. Cambridge MA 02139-4307 CB2 1PZ. USA e-mail: [email protected] e-mail: [email protected] tel: +44 (0) 1223 332779 tel: +1 617 253 0012 For information about the CMI initiative please see Cambridge-MIT Institute website :- http://www.cambridge-mit.org CMI CMI, University of Cambridge Massachusetts Institute of Technology 10 Miller’s Yard, 77 Massachusetts Ave. Mill Lane, Cambridge MA 02139-4307 Cambridge. CB2 1RQ. USA tel: +44 (0) 1223 327207 tel. +1 617 253 7732 fax: +44 (0) 1223 765891 fax. +1 617 258 8539 . DRAFT 2 CMI-MDP Programme 1 Introduction This dictionary/glossary has not been developed as a definative work but as a useful reference book for engi- neering students to search when looking for the meaning of a word/phrase. It has been compiled from a number of existing glossaries together with a number of local additions. -
Hydraulics Manual Glossary G - 3
Glossary G - 1 GLOSSARY OF HIGHWAY-RELATED DRAINAGE TERMS (Reprinted from the 1999 edition of the American Association of State Highway and Transportation Officials Model Drainage Manual) G.1 Introduction This Glossary is divided into three parts: · Introduction, · Glossary, and · References. It is not intended that all the terms in this Glossary be rigorously accurate or complete. Realistically, this is impossible. Depending on the circumstance, a particular term may have several meanings; this can never change. The primary purpose of this Glossary is to define the terms found in the Highway Drainage Guidelines and Model Drainage Manual in a manner that makes them easier to interpret and understand. A lesser purpose is to provide a compendium of terms that will be useful for both the novice as well as the more experienced hydraulics engineer. This Glossary may also help those who are unfamiliar with highway drainage design to become more understanding and appreciative of this complex science as well as facilitate communication between the highway hydraulics engineer and others. Where readily available, the source of a definition has been referenced. For clarity or format purposes, cited definitions may have some additional verbiage contained in double brackets [ ]. Conversely, three “dots” (...) are used to indicate where some parts of a cited definition were eliminated. Also, as might be expected, different sources were found to use different hyphenation and terminology practices for the same words. Insignificant changes in this regard were made to some cited references and elsewhere to gain uniformity for the terms contained in this Glossary: as an example, “groundwater” vice “ground-water” or “ground water,” and “cross section area” vice “cross-sectional area.” Cited definitions were taken primarily from two sources: W.B.