Drag Coefficient
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Airfoil Drag by Wake Survey Using Ldv
AIRFOIL DRAG BY WAKE SURVEY USING LDV 1 Purpose This experiment introduces the student to the use of Laser Doppler Velocimetry (LDV) as a means of measuring air flow velocities. The section drag of a NACA 0012 airfoil is determined from velocity measurements obtained in the airfoil wake. 2 Apparatus (1) .5 m x .7 m wind tunnel (max velocity 20 m/s) (2) NACA 0015 airfoil (0.2 m chord, 0.7 m span) (3) Betz manometer (4) Pitot tube (5) DISA LDV optics (6) Spectra Physics 124B 15 mW laser (632.8 nm) (7) DISA 55N20 LDV frequency tracker (8) TSI atomizer using 50cs silicone oil (9) XYZ LDV traversing system (10) Computer data reduction program 1 3 Notation A wing area (m2) b initial laser beam radius (m) bo minimum laser beam radius at lens focus (m) c airfoil chord length (m) Cd drag coefficient da elemental area in wake survey plane (m2) d drag force per unit span f focal length of primary lens (m) fo Doppler frequency (Hz) I detected signal amplitude (V) l distance across survey plane (m) r seed particle radius (m) s airfoil span (m) v seed particle velocity (instantaneous flow velocity) (m/s) U wake velocity (m/s) Uo upstream flow velocity (m/s) α Mie scatter size parameter/angle of attack (degs) δy fringe separation (m) θ intersection angle of laser beams λ laser wavelength (632.8 nm for He Ne laser) ρ air density at NTP (1.225 kg/m3) τ Doppler period (s) 4 Theory 4.1 Introduction The profile drag of a two-dimensional airfoil is the sum of the form drag due to boundary layer sep- aration (pressure drag), and the skin friction drag. -
Drag Force Calculation
DRAG FORCE CALCULATION “Drag is the component of force on a body acting parallel to the direction of relative motion.” [1] This can occur between two differing fluids or between a fluid and a solid. In this lab, the drag force will be explored between a fluid, air, and a solid shape. Drag force is a function of shape geometry, velocity of the moving fluid over a stationary shape, and the fluid properties density and viscosity. It can be calculated using the following equation, ퟏ 푭 = 흆푨푪 푽ퟐ 푫 ퟐ 푫 Equation 1: Drag force equation using total profile where ρ is density determined from Table A.9 or A.10 in your textbook A is the frontal area of the submerged object CD is the drag coefficient determined from Table 1 V is the free-stream velocity measured during the lab Table 1: Known drag coefficients for various shapes Body Status Shape CD Square Rod Sharp Corner 2.2 Circular Rod 0.3 Concave Face 1.2 Semicircular Rod Flat Face 1.7 The drag force of an object can also be calculated by applying the conservation of momentum equation for your stationary object. 휕 퐹⃗ = ∫ 푉⃗⃗ 휌푑∀ + ∫ 푉⃗⃗휌푉⃗⃗ ∙ 푑퐴⃗ 휕푡 퐶푉 퐶푆 Assuming steady flow, the equation reduces to 퐹⃗ = ∫ 푉⃗⃗휌푉⃗⃗ ∙ 푑퐴⃗ 퐶푆 The following frontal view of the duct is shown below. Integrating the velocity profile after the shape will allow calculation of drag force per unit span. Figure 1: Velocity profile after an inserted shape. Combining the previous equation with Figure 1, the following equation is obtained: 푊 퐷푓 = ∫ 휌푈푖(푈∞ − 푈푖)퐿푑푦 0 Simplifying the equation, you get: 20 퐷푓 = 휌퐿 ∑ 푈푖(푈∞ − 푈푖)훥푦 푖=1 Equation 2: Drag force equation using wake profile The pressure measurements can be converted into velocity using the Bernoulli’s equation as follows: 2Δ푃푖 푈푖 = √ 휌퐴푖푟 Be sure to remember that the manometers used are in W.C. -
Chapter 4: Immersed Body Flow [Pp
MECH 3492 Fluid Mechanics and Applications Univ. of Manitoba Fall Term, 2017 Chapter 4: Immersed Body Flow [pp. 445-459 (8e), or 374-386 (9e)] Dr. Bing-Chen Wang Dept. of Mechanical Engineering Univ. of Manitoba, Winnipeg, MB, R3T 5V6 When a viscous fluid flow passes a solid body (fully-immersed in the fluid), the body experiences a net force, F, which can be decomposed into two components: a drag force F , which is parallel to the flow direction, and • D a lift force F , which is perpendicular to the flow direction. • L The drag coefficient CD and lift coefficient CL are defined as follows: FD FL CD = 1 2 and CL = 1 2 , (112) 2 ρU A 2 ρU Ap respectively. Here, U is the free-stream velocity, A is the “wetted area” (total surface area in contact with fluid), and Ap is the “planform area” (maximum projected area of an object such as a wing). In the remainder of this section, we focus our attention on the drag forces. As discussed previously, there are two types of drag forces acting on a solid body immersed in a viscous flow: friction drag (also called “viscous drag”), due to the wall friction shear stress exerted on the • surface of a solid body; pressure drag (also called “form drag”), due to the difference in the pressure exerted on the front • and rear surfaces of a solid body. The friction drag and pressure drag on a finite immersed body are defined as FD,vis = τwdA and FD, pres = pdA , (113) ZA ZA Streamwise component respectively. -
Drag Coefficients of Inclined Hollow Cylinders
Drag Coefficients of Inclined Hollow Cylinders: RANS versus LES A Major Qualifying Project Report Submitted to the Faculty of the WORCESTER POLYTECHNIC INSTITUTE in partial fulfillment of the requirements for the Degree of Bachelor of Science In Chemical Engineering By Ben Franzluebbers _______________ Date: April 2013 Approved: ________________________ Dr. Anthony G. Dixon, Advisor Abstract The goal of this project was use LES and RANS (SST k-ω) CFD turbulence models to find the drag coefficient of a hollow cylinder at various inclinations and compare the results. The drag coefficients were evaluated for three angles relative to the flow (0⁰, 45⁰, and 90⁰) and three Reynolds numbers (1000, 5000, and 10000). The drag coefficients determined by LES and RANS agreed for the 0⁰ and 90⁰ inclined hollow cylinder. For the 45⁰ inclined hollow cylinder the RANS model predicted drag coefficients about 0.2 lower the drag coefficients predicted by LES. 2 Executive Summary The design of catalyst particles is an important topic in the chemical industry. Chemical products made using catalytic processes are worth $900 billion a year and about 75% of all chemical and petroleum products by value (U.S. Climate Change Technology Program, 2005). The catalyst particles used for fixed bed reactors are an important part of this. Knowing properties of the catalyst particle such as the drag coefficient is necessary to understand how fluid flow will be affected by the packed bed. The particles are inclined at different angles in the reactor and can come in a wide variety of shapes meaning that understanding the effect of particle shape on drag coefficient has practical importance. -
On the Generation of a Reverse Von Kármán Street for the Controlled Cylinder Wake in the Laminar Regime
On the generation of a reverse Von Kármán street for the controlled cylinder wake in the laminar regime Michel Bergmann,∗ Laurent Cordier, and Jean-Pierre Brancher LEMTA, UMR 7563 (CNRS - INPL - UHP) ENSEM - 2, avenue de la forêt de Haye BP 160 - 54504 Vandœuvre cedex, France (Dated: December 8, 2005) 1 Abstract In this Brief Communication we are interested in the maximum mean drag reduction that can be achieved under rotary sinusoidal control for the circular cylinder wake in the laminar regime. For a Reynolds number equal to 200, we give numerical evidence that partial control restricted to an upstream part of the cylinder surface may increase considerably the effectiveness of the control. Indeed, a maximum value of relative mean drag reduction equal to 30% is obtained when applying a specific sinusoidal control to the whole cylinder, where up to 75% of reduction can be obtained when the same control law is applied only to a well selected upstream part of the cylinder. This result suggests that a mean flow correction field with negative drag is observable for this controlled flow configuration. The significant thrust force that is locally generated in the near wake corresponds to a reverse Kármán vortex street as commonly observed in fish-like locomotion or flapping wing flight. Finally, the energetic efficiency of the control is quantified by examining the Power Saving Ratio: it is shown that our approach is energetically inefficient. However, it is also demonstrated that for this control scheme the improvement of the effectiveness goes generally with an improvement of the efficiency. Keywords: Partial rotary control ; Cylinder wake ; Drag minimization ; reverse Kármán vortex street. -
Tesla Motors
AUGUST 2014 TESLA MOTORS: INTELLECTUAL PROPERTY, OPEN INNOVATION, AND THE CARBON CRISIS DR MATTHEW RIMMER AUSTRALIAN RESEARCH COUNCIL FUTURE FELLOW ASSOCIATE PROFESSOR THE AUSTRALIAN NATIONAL UNIVERSITY COLLEGE OF LAW The Australian National University College of Law, Canberra, ACT, 0200 Work Telephone Number: (02) 61254164 E-Mail Address: [email protected] 1 Introduction Tesla Motors is an innovative United States manufacturer of electric vehicles. In its annual report for 2012, the company summarizes its business operations: We design, develop, manufacture and sell high-performance fully electric vehicles and advanced electric vehicle powertrain components. We own our sales and service network and have operationally structured our business in a manner that we believe will enable us to rapidly develop and launch advanced electric vehicles and technologies. We believe our vehicles, electric vehicle engineering expertise, and operational structure differentiates us from incumbent automobile manufacturers. We are the first company to commercially produce a federally-compliant electric vehicle, the Tesla Roadster, which achieves a market-leading range on a single charge combined with attractive design, driving performance and zero tailpipe emissions. As of December 31, 2012, we had delivered approximately 2,450 Tesla Roadsters to customers in over 30 countries. While we have concluded the production run of the Tesla Roadster, its proprietary electric vehicle powertrain system is the foundation of our business. We modified this system -
Tesla Autopilot : Semi Autonomous Driving, an Uptick for Future Autonomy
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395 -0056 Volume: 03 Issue: 09 | Sep-2016 www.irjet.net p-ISSN: 2395-0072 Tesla Autopilot : Semi Autonomous Driving, an Uptick for Future Autonomy Shantanu Ingle1, Madhuri Phute2 1Department of E&TC, Pune Institute of Computer Technology, Pune, Maharashtra, India 2 Department of E&TC, Pune Institute of Computer Technology, Pune, Maharashtra, India ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Manual driving has certainly changed the way response to traffic conditions. Once the driver arrives at the we travel and explore different parts of the globe, with total destination, Model S or Model X scans for a parking space human control and with human intuitions and previous and parallel parks on the driver's command[2]. In the new driving experiences. But manual control doesn’t ensure safety Autopilot, the instrument cluster’s new driver focused and zero fatalities in every possible driving condition. design shows the real-time information used by the car to Autonomous driving is the answer to that problem. However, intelligently determine the vehicle’s behavior in that artificial intelligence hasn't yet touched every aspect of moment relative to its surroundings[3]. Along with the technology. In this paper we present a brief overview about autopilot feature, the driving behavior of each Tesla car, how Tesla Motor’s semi autonomous driving technology called while navigating through different road conditions, is shared Tesla Autopilot is changing the way we navigate and transport to its central server. Based on machine learning and Tesla by incorporating state of the art current artificial intelligence design engineer recommendations, a new feature update is and hardware technology, and enhancing the next generation developed and launched to every other Tesla car on planet. -
Aerodynamics of High-Performance Wing Sails
Aerodynamics of High-Performance Wing Sails J. otto Scherer^ Some of tfie primary requirements for tiie design of wing sails are discussed. In particular, ttie requirements for maximizing thrust when sailing to windward and tacking downwind are presented. The results of water channel tests on six sail section shapes are also presented. These test results Include the data for the double-slotted flapped wing sail designed by David Hubbard for A. F. Dl Mauro's lYRU "C" class catamaran Patient Lady II. Introduction The propulsion system is probably the single most neglect ed area of yacht design. The conventional triangular "soft" sails, while simple, practical, and traditional, are a long way from being aerodynamically desirable. The aerodynamic driving force of the sails is, of course, just as large and just as important as the hydrodynamic resistance of the hull. Yet, designers will go to great lengths to fair hull lines and tank test hull shapes, while simply drawing a triangle on the plans to define the sails. There is no question in my mind that the application of the wealth of available airfoil technology will yield enormous gains in yacht performance when applied to sail design. Re cent years have seen the application of some of this technolo gy in the form of wing sails on the lYRU "C" class catamar ans. In this paper, I will review some of the aerodynamic re quirements of yacht sails which have led to the development of the wing sails. For purposes of discussion, we can divide sail require ments into three points of sailing: • Upwind and close reaching. -
Units and Magnitudes (Lecture Notes)
physics 8.701 topic 2 Frank Wilczek Units and Magnitudes (lecture notes) This lecture has two parts. The first part is mainly a practical guide to the measurement units that dominate the particle physics literature, and culture. The second part is a quasi-philosophical discussion of deep issues around unit systems, including a comparison of atomic, particle ("strong") and Planck units. For a more extended, profound treatment of the second part issues, see arxiv.org/pdf/0708.4361v1.pdf . Because special relativity and quantum mechanics permeate modern particle physics, it is useful to employ units so that c = ħ = 1. In other words, we report velocities as multiples the speed of light c, and actions (or equivalently angular momenta) as multiples of the rationalized Planck's constant ħ, which is the original Planck constant h divided by 2π. 27 August 2013 physics 8.701 topic 2 Frank Wilczek In classical physics one usually keeps separate units for mass, length and time. I invite you to think about why! (I'll give you my take on it later.) To bring out the "dimensional" features of particle physics units without excess baggage, it is helpful to keep track of powers of mass M, length L, and time T without regard to magnitudes, in the form When these are both set equal to 1, the M, L, T system collapses to just one independent dimension. So we can - and usually do - consider everything as having the units of some power of mass. Thus for energy we have while for momentum 27 August 2013 physics 8.701 topic 2 Frank Wilczek and for length so that energy and momentum have the units of mass, while length has the units of inverse mass. -
Update: California's Electric Vehicle Market
www.theicct.org BRIEFING MAY 2017 Update: California’s electric vehicle market This briefing summarizes data on the development of the electric vehicle market in California through 2016. It quantifies electric vehicle market growth across California cities and metropolitan areas and provides U.S. market context. INTRODUCTION California has seen much faster uptake of electric vehicles than elsewhere in the U.S. and most places around the world. This briefing updates our assessment of the 2015 California market1 and quantifies key developments through 2016. It includes metropolitan area data and city-level data, providing greater resolution on markets where electric vehicle uptake is the highest. The paper analyzes uptake of battery- electric vehicles (BEVs) and plug-in hybrid vehicles (PHEVs), excluding conventional gasoline-electric hybrids. It is important to understand that California accounts for almost half of the U.S. market for plug-in electric vehicles. California represents 12% of the U.S. population, 14% of the economy, and 12% of new light-duty vehicle sales. (See Table 1.) Electric vehicle sales in the state since 2011 totaled 269,000, about 48% of U.S electric vehicle purchases. Public vehicle charging infrastructure in California represents 31% of the U.S. infrastructure, including a quarter of the public direct-current fast charging. 1 Searle, S., Pavlenko, N., Lutsey, N. (2016). Leading edge of electric vehicle market development in the United States: An analysis of California cities. International Council on Clean Transportation. Retrieved from http:// www.theicct.org/ev-markets-calif-cities-sept2016 Prepared by Nic Lutsey. BEIJING | BERLIN | BRUSSELS | SAN FRANCISCO | WASHINGTON ICCT BRIEFING Table 1. -
In the Court of Chancery of the State of Delaware
EFiled: Sep 06 2016 07:12PM EDT Transaction ID 59520160 Case No. 12723- IN THE COURT OF CHANCERY OF THE STATE OF DELAWARE ELLEN PRASINOS, derivatively on behalf ) TESLA MOTORS, INC., ) ) Plaintiff, ) ) vs. ) ) C.A. No. ELON MUSK, BRAD W. BUSS, ROBYN ) M. DENHOLM, IRA EHRENPREIS, ) ANTONIO J. GRACIAS, STEPHEN T. ) JURVETSON, KIMBAL MUSK, ) LYNDON RIVE, PETER RIVE, JOHN H. ) N. FISHER, JEFFREY B. STRAUBEL, D ) SUBSIDIARY, INC., AND SOLARCITY ) CORPORATION, ) ) Defendants, ) ) -and- ) ) TESLA MOTORS, INC., a Delaware ) Corporation, ) ) Nominal Defendant ) VERIFIED STOCKHOLDER DERIVATIVE COMPLAINT Plaintiff Ellen Prasinos (“Plaintiff”), by and through her undersigned counsel, assert this action derivatively on behalf of Tesla Motors, Inc. (“Telsa” or the “Company”) against defendants Elon Musk, Brad W. Buss, Robyn M. Denholm, Ira Ehrenpreis, Antonio J. Gracias, Stephen T. Jurvetson and Kimbal Musk (collectively, the “Board” or the “Director Defendants”), along with Lyndon Rive, Peter Rive, John H. N. Fisher, J.B. Straubel, D Subsidiary, Inc., and 1 ME1 23271632v.1 SolarCity Corporation (“SolarCity”). Plaintiff alleges, upon information and belief based upon, inter alia , the investigation made by her attorneys, except as to those allegations that pertain to the Plaintiff herself, which are alleged upon knowledge, as follows: SUMMARY OF THE ACTION 1. Elon Musk (“Musk”), a smart and charismatic businessman, wants to save the world by “making life multi-planetary”, and “expedit[ing] the move from a mine-and-burn hydrocarbon economy towards a solar electric economy.” While Musk’s goal to save the world may be admirable, he uses unethical and illegal tactics to achieve that goal, especially when his personal financial interests and legacy are at stake. -
Guide for the Use of the International System of Units (SI)
Guide for the Use of the International System of Units (SI) m kg s cd SI mol K A NIST Special Publication 811 2008 Edition Ambler Thompson and Barry N. Taylor NIST Special Publication 811 2008 Edition Guide for the Use of the International System of Units (SI) Ambler Thompson Technology Services and Barry N. Taylor Physics Laboratory National Institute of Standards and Technology Gaithersburg, MD 20899 (Supersedes NIST Special Publication 811, 1995 Edition, April 1995) March 2008 U.S. Department of Commerce Carlos M. Gutierrez, Secretary National Institute of Standards and Technology James M. Turner, Acting Director National Institute of Standards and Technology Special Publication 811, 2008 Edition (Supersedes NIST Special Publication 811, April 1995 Edition) Natl. Inst. Stand. Technol. Spec. Publ. 811, 2008 Ed., 85 pages (March 2008; 2nd printing November 2008) CODEN: NSPUE3 Note on 2nd printing: This 2nd printing dated November 2008 of NIST SP811 corrects a number of minor typographical errors present in the 1st printing dated March 2008. Guide for the Use of the International System of Units (SI) Preface The International System of Units, universally abbreviated SI (from the French Le Système International d’Unités), is the modern metric system of measurement. Long the dominant measurement system used in science, the SI is becoming the dominant measurement system used in international commerce. The Omnibus Trade and Competitiveness Act of August 1988 [Public Law (PL) 100-418] changed the name of the National Bureau of Standards (NBS) to the National Institute of Standards and Technology (NIST) and gave to NIST the added task of helping U.S.