An Investigation of Pbi/Pa Membranes for Application in Pump

Total Page:16

File Type:pdf, Size:1020Kb

An Investigation of Pbi/Pa Membranes for Application in Pump AN INVESTIGATION OF PBI/PA MEMBRANES FOR APPLICATION IN PUMP CELLS FOR THE PURIFICATION AND PRESSURIZATION OF HYDROGEN By TYLER J PETEK Submitted in partial fulfillment of the requirements For the degree of Master of Science Thesis Advisor: Dr. Robert F. Savinell Department of Chemical Engineering CASE WESTERN RESERVE UNIVERSITY January 2012 CASE WESTERN RESERVE UNIVERSITY SHOOL OF GRADUATE STUDIES We hereby approve the thesis of Tyler J Petek Candidate for the Master of Science degree. Robert F. Savinell (Chair of the committee) Jesse Wainright (Committee Member) Chung-Chiun Liu (Committee Member) 06 October 2011 Tyler Petek | i Table of Contents List of Tables ..................................................................................................................... iv List of Figures ..................................................................................................................... v Acknowledgements .......................................................................................................... xiii List of Abbreviations ....................................................................................................... xiv Nomenclature ................................................................................................................... xvi Abstract ............................................................................................................................. xx Chapter 1: Introduction ....................................................................................................... 1 1.1 Current U.S. Energy Situation: “A Hydrocarbon Economy” ................................... 1 1.1.1 Where Our Energy Comes From ....................................................................... 1 1.1.2 Environmental Impacts of a Hydrocarbon Economy ......................................... 2 1.2 A Hydrogen Economy .............................................................................................. 4 1.2.1 Hydrogen as a fuel ............................................................................................. 4 1.2.2 Results of a Hydrogen Economy ....................................................................... 8 1.2.3 Technologies for Producing Hydrogen ............................................................ 10 1.3 Technical Challenges to Sustaining a Hydrogen Economy .................................... 14 1.3.1 Cost of Hydrogen Production .......................................................................... 15 1.3.2 Hydrogen Storage ............................................................................................ 15 1.3.3 Hydrogen Distribution ..................................................................................... 16 1.3.4 End-Use Hydrogen Requirements ................................................................... 16 1.3.5 Hydrogen Purification Techniques .................................................................. 18 1.4 How H2 pump cells could help to create a hydrogen economy .............................. 22 Chapter 2: Literature Review ............................................................................................ 24 2.1 Current Hydrogen Pump Cell Systems ................................................................... 24 2.1.1 Basic function and motivation of hydrogen pump systems ............................. 24 2.1.2 Traditional hydrogen pump cells ..................................................................... 25 2.2 PBI/PA as a conductive hydrogen selective membrane ......................................... 30 2.2.1 Conductivity of phosphoric acid ...................................................................... 31 2.2.2 Doping PBI with phosphoric acid .................................................................... 33 2.2.3 PBI/PA conductivity and tensile strength ........................................................ 35 2.2.4 PBI/PA tolerance of impurities ........................................................................ 37 2.3 PBI/PA hydrogen pump cells.................................................................................. 38 2.4 Characterization and durability limits of PBI/PA Pump Cell ................................. 40 Tyler Petek | ii Chapter 3: Experimental Methodology ............................................................................. 42 3.1 Theoretical Considerations ..................................................................................... 42 3.1.1 Faraday’s Law .................................................................................................. 42 3.1.2 Nernst Potential ................................................................................................ 43 3.1.3 Overpotentials associated with the polarization curves ................................... 44 3.1.4 Impedance Spectroscopy ................................................................................. 49 3.2 Laboratory Material and Equipment ....................................................................... 56 3.2.1 BASF PBI MEAs ............................................................................................. 56 3.2.2 Fuel Cell Hardware and Assembly .................................................................. 56 3.2.3 Fuel Cell Technology’s Fuel Cell Test Stand .................................................. 58 3.2.4 Solartron ........................................................................................................... 60 3.2.5 Oscilloscope ..................................................................................................... 61 3.2.6 Gas Supplies..................................................................................................... 61 3.3 Experimental Techniques ........................................................................................ 61 3.3.1 Polarization Curves .......................................................................................... 62 3.3.2 Pressure Tests................................................................................................... 63 3.3.3 Impedance Spectroscopy Scans ....................................................................... 64 3.3.4 Long Term Constant-Current Tests ................................................................. 66 Chapter 4: Results and Analysis ....................................................................................... 67 4.1 Characterization of a pump cell with a BASF PBI/PA MEA ................................. 67 4.1.1 Temperature effects on hydrogen pump performance without feed impurities67 4.1.2 Ability of pump cell to purify hydrogen rich stream ....................................... 69 4.1.3 Modeling of pump cell polarization effects at 150°C ...................................... 72 4.1.4 Ability of a pump cell to pressurize hydrogen product .................................... 87 4.1.5 Performance durability and limits .................................................................... 91 4.2 Application analysis of a pump cell with a BASF PBI/PA MEA......................... 102 4.2.1 Energy estimates for purifying and pressurizing hydrogen ........................... 102 4.2.2 Comparison of the pump cell with conventional technologies ...................... 105 Chapter 5: Understanding proton transport in a Phosphoric Acid Electrolyte ............... 108 5.1 Phosphoric acid equilibrium ................................................................................. 108 5.2 Proton transport in a phosphoric acid electrolyte ................................................. 108 5.3 Developing a simplified model ............................................................................. 110 5.4 Description of possible initial and boundary conditions....................................... 113 5.5 Qualitative description and ramifications ............................................................. 117 Tyler Petek | iii Chapter 6: Conclusions and Future Recommendations .................................................. 119 6.1 Ability of a PBI/PA pump cell to purify and pressurize H2 streams .................... 119 6.2 Durability limits of a PBI/PA pump cell............................................................... 120 6.3 Recommendations for future work ....................................................................... 121 Appendix A – BASF PBI/PA MEA 6 Life ..................................................................... 123 Appendix B – BASF PBI/PA MEA 8 Life ..................................................................... 125 Bibliography ................................................................................................................... 130 Tyler Petek | iv List of Tables Table 1.1: A summary of a select number of fuel cell types [13] Page 7 Tyler Petek | v List of Figures Figure 2.1: Schematic of hydrogen pumping in a solid polymer electrolyte cell. [66] Page 24 Figure 2.2: Polarization curves of hydrogen pump cells with different MEAs operated with zero pressure differential across the cell. [67] Page 26 Figure 2.3: Nitrogen content of purified hydrogen vs current density for a cell operated at 25°C and Δp of 170 psi. The feed stream was 10% H2 in balance N2. [66] Page 27 Figure 2.4: The diffusion of hydrogen across membranes of different thicknesses (back diffusion). [67] Page 28 Figure 2.5: Polarization characteristics of pump cells at 25°C at varying pressures and membrane
Recommended publications
  • What Are Regenerative Fuel Cells? 1 of 8
    What Are Regenerative Fuel Cells? 1 of 8 altenergy.org What Are Regenerative Fuel Cells? Alan Davison 11-14 minutes Scientists, researchers, and engineers are on a quest for the holy grail of energy technologies, and a key component of any energy system is figuring out new and innovative ways to store energy. One of the most popular visions for a renewable energy future is the hydrogen economy, but the question as to where one gets the hydrogen required to sustain it is as old as the idea itself. The regenerative fuel cell might be the answer that hydrogen economists are looking for. What are regenerative fuel cells? Ever wonder what would happen if you could run a fuel cell in reverse? You get a reverse fuel cell (RFC) or regenerative fuel cell. If a fuel cell is a device that takes a chemical fuel and consumes it to produce electricity and a waste product, an RFC can be thought of as a device that takes that waste product and electricity to return the original chemical fuel. Indeed any fuel cell chemistry can be run in reverse, as is the nature of oxidation reduction reactions, but a fuel cell that isn't designed to do so may not be very efficient at running in reverse. In fact many fuel cells are designed to prevent the reverse reaction about:reader?url=https://www.altenergy.org/renewables/regenerative-fuel-cells.html What Are Regenerative Fuel Cells? 2 of 8 from occurring at all, for why would you want to consume the energy you just produced? Instead you might design a separate cell for the express purpose of taking energy generated from another source and storing it as a fuel for conversion back into energy when you need it via fuel cell.
    [Show full text]
  • Electrolysis in Ironmaking
    Fact sheet Electrolysis in ironmaking The transition to a low-carbon world requires a transformation in the way we manufacture iron and steel. There is no single solution to CO2-free steelmaking, and a broad portfolio of technological options is required, to be deployed alone, or in combination as local circumstances permit. This series of fact sheets describes and explores the status of a number of key technologies. What is electrolysis? Why consider electrolysis in ironmaking? Electrolysis is a technique that uses direct electric current to There are two potential ways to separate metallic iron from separate some chemical compounds into their constituent the oxygen to which it is bonded in iron ore. These are parts. through the use of chemical reductants such as hydrogen or carbon, or through the use of electro-chemical processes Electricity is applied to an anode and a cathode, which are that use electrical energy to reduce iron ore. immersed in the chemical to be electrolysed. In electrolysis, iron ore is dissolved in a solvent of silicon Electrolysis of water (H2O) produces hydrogen and oxygen, dioxide and calcium oxide at 1,600°C, and an electric current whereas electrolysis of aluminium oxide (Al2O3) produces passed through it. Negatively-charged oxygen ions migrate metallic aluminium and oxygen. to the positively charged anode, and the oxygen bubbles off. Positively-charged iron ions migrate to the negatively- charged cathode where they are reduced to elemental iron. If the electricity used is carbon-free, then iron is produced without emissions of CO2. Electrolysis of iron ore has been demonstrated at the laboratory scale, producing metallic iron and oxygen as a co-product.
    [Show full text]
  • Solar-Driven, Highly Sustained Splitting of Seawater Into Hydrogen and Oxygen Fuels
    Solar-driven, highly sustained splitting of seawater into hydrogen and oxygen fuels Yun Kuanga,b,c,1, Michael J. Kenneya,1, Yongtao Menga,d,1, Wei-Hsuan Hunga,e, Yijin Liuf, Jianan Erick Huanga, Rohit Prasannag, Pengsong Lib,c, Yaping Lib,c, Lei Wangh,i, Meng-Chang Lind, Michael D. McGeheeg,j, Xiaoming Sunb,c,d,2, and Hongjie Daia,2 aDepartment of Chemistry, Stanford University, Stanford, CA 94305; bState Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China; cBeijing Advanced Innovation Center for Soft Matter Science and Engineering, Beijing University of Chemical Technology, Beijing 100029, China; dCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China; eDepartment of Materials Science and Engineering, Feng Chia University, Taichung 40724, Taiwan; fStanford Synchrotron Radiation Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025; gDepartment of Materials Science and Engineering, Stanford University, Stanford, CA 94305; hCenter for Electron Microscopy, Institute for New Energy Materials, Tianjin University of Technology, Tianjin 300384, China; iTianjin Key Laboratory of Advanced Functional Porous Materials, School of Materials, Tianjin University of Technology, Tianjin 300384, China; and jDepartment of Chemical Engineering, University of Colorado Boulder, Boulder, CO 80309 Contributed by Hongjie Dai, February 5, 2019 (sent for review January 14, 2019; reviewed by Xinliang Feng and Ali Javey) Electrolysis of water to generate hydrogen fuel is an attractive potential ∼490 mV higher than that of OER, which demands renewable energy storage technology. However, grid-scale fresh- highly active OER electrocatalysts capable of high-current (∼1 2 water electrolysis would put a heavy strain on vital water re- A/cm ) operations for high-rate H2/O2 production at over- sources.
    [Show full text]
  • Fuel Cell Performance and Degradation
    REVERSIBLE FUEL CELL PERFORMANCE AND DEGRADATION by Matthew Aaron Cornachione A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in Electrical Engineering MONTANA STATE UNIVERSITY Bozeman, Montana April, 2011 c Copyright by Matthew Aaron Cornachione 2011 All Rights Reserved ii APPROVAL of a thesis submitted by Matthew Aaron Cornachione This thesis has been read by each member of the thesis committee and has been found to be satisfactory regarding content, English usage, format, citations, bibli- ographic style, and consistency, and is ready for submission to the The Graduate School. Dr. Steven R. Shaw Approved for the Department of Electrical and Computer Engineering Dr. Robert C. Maher Approved for the The Graduate School Dr. Carl A. Fox iii STATEMENT OF PERMISSION TO USE In presenting this thesis in partial fulfullment of the requirements for a master's degree at Montana State University, I agree that the Library shall make it available to borrowers under rules of the Library. If I have indicated my intention to copyright this thesis by including a copyright notice page, copying is allowable only for scholarly purposes, consistent with \fair use" as prescribed in the U.S. Copyright Law. Requests for permission for extended quotation from or reproduction of this thesis in whole or in parts may be granted only by the copyright holder. Matthew Aaron Cornachione April, 2011 iv ACKNOWLEDGEMENTS I would like to thank my advisor, Dr. Steven Shaw, for granting me the oppor- tunity to work at Montana State University as a graduate research assistant and for providing assistance to many aspects of this work from circuit design to machining parts.
    [Show full text]
  • State-Of-The-Art Hydrogen Production Cost Estimate Using Water Electrolysis
    NREL/BK-6A1-46676 September 2009 Current (2009) State-of-the-Art Hydrogen Production Cost Estimate Using Water Electrolysis Independent Review Published for the U.S. Department of Energy Hydrogen Program National Renewable Energy Laboratory 1617 Cole Boulevard • Golden, Colorado 80401-3393 303-275-3000 • www.nrel.gov NREL is a national laboratory of the U.S. Department of Energy, Office of Energy Efficiency and Renewable Energy, operated by the Alliance for Sustainable Energy, LLC Contract No. DE-AC36-08-GO28308 NOTICE This report was prepared as an account of work sponsored by an agency of the United States government. Neither the United States government nor any agency thereof, nor any of their employees, makes any warranty, express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or represents that its use would not infringe privately owned rights. Reference herein to any specific commercial product, process, or service by trade name, trademark, manufacturer, or otherwise does not necessarily constitute or imply its endorsement, recommendation, or favoring by the United States government or any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States government or any agency thereof. Available electronically at http://www.osti.gov/bridge Available for a processing fee to U.S. Department of Energy and its contractors, in paper, from: U.S. Department of Energy Office of Scientific and Technical Information P.O. Box 62 Oak Ridge, TN 37831-0062 phone: 865.576.8401 fax: 865.576.5728 email: mailto:[email protected] Available for sale to the public, in paper, from: U.S.
    [Show full text]
  • Solar-Powered Electrolysis of Water and the Hydrogen Economy SK#15
    Solar Kit Lesson #15 Solar-Powered Electrolysis of Water and the Hydrogen Economy TEACHER INFORMATION LEARNING OUTCOME After producing hydrogen and oxygen gases through the electrolysis of water and studying the process, students realize that hydrogen can act as an energy carrier and that as an energy carrier it has many properties that are useful to humankind. LESSON OVERVIEW Students complete a short reading on hydrogen as an energy carrier, and use solar electric panels to produce hydrogen and oxygen gases from the electrolysis of water. They then test for the presence of flammable gases and propose and balance the chemical reaction for the process of the electrolysis of water. GRADE-LEVEL APPROPRIATENESS This Level III Physical Setting lesson is intended for use in chemistry and technology education classrooms in grades 10–12. MATERIALS Per work group • beaker (250 ml) • two aluminum electrodes (electrical tape and 8 cm long, small-diameter aluminum rods) • metric ruler • two small test tubes (13 x 100 mm to 18 x 150 mm) or (10 mL to 20 mL). • five 1 V, 400 mA mini–solar panels* mounted on a board • two pieces of wire (30–40 cm) • stirring rod • candle • wooden splint • matches • ring stand • two clamps • graduated cylinder (10–20 mL) • teaspoon • two teaspoons of sodium carbonate (washing soda) or sodium bicarbonate (baking soda) • safety goggles • clear plastic tape (optional) • grease pencil • water and paper towels * Available in the provided Solar Education Kit; other materials are to be supplied by the teacher nyserda.ny.gov/School-Power-Naturally SAFETY As with all lab work, try this lab yourself before having the students perform it.
    [Show full text]
  • Electrolysis of Salt Water
    ELECTROLYSIS OF SALT WATER Unit: Salinity Patterns & the Water Cycle l Grade Level: High school l Time Required: Two 45 min. periods l Content Standard: NSES Physical Science, properties and changes of properties in matter; atoms have measurable properties such as electrical charge. l Ocean Literacy Principle 1e: Most of of Earth's water (97%) is in the ocean. Seawater has unique properties: it is saline, its freezing point is slightly lower than fresh water, its density is slightly higher, its electrical conductivity is much higher, and it is slightly basic. Big Idea: Water is comprised of two elements – hydrogen (H) and oxygen (O). Distilled water is pure and free of salts; thus it is a very poor conductor of electricity. By adding ordinary table salt (NaCl) to distilled water, it becomes an electrolyte solution, able to conduct electricity. Key Concepts o Ionic compounds such as salt water, conduct electricity when they dissolve in water. o Ionic compounds consist of two or more ions that are held together by electrical attraction. One of the ions has a positive charge (called a "cation") and the other has a negative charge ("anion"). o Molecular compounds, such as water, are made of individual molecules that are bound together by shared electrons (i.e., covalent bonds). o Essential Questions o What happens to salt when it is dissolved in water? o What are electrolytes? o How can we determine the volume of dissolved ions in a water sample? o How are atoms held together in an element? Knowledge and Skills o Conduct an experiment to see that water can be split into its constituent ions through the process of electrolysis.
    [Show full text]
  • Electrolysis of Water
    U.S. DEPARTMENT OF Energy Efficiency & ENERGY EDUCATION AND WORKFORCE DEVELOPMENT ENERGY Renewable Energy Electrolysis of Water Grades: 5-8 Topic: Hydrogen and Fuel Cells, Solar Owner: Florida Solar Energy Center This educational material is brought to you by the U.S. Department of Energy’s Office of Energy Efficiency and Renewable Energy. High-energy Hydrogen I Teacher Page Electrolysis of Water Student Objective The student: Key Words: • will be able to explain how hydrogen compound can be extracted from water electrolysis • will be able to explain how energy hydrogen flows through the electrolysis system molecule oxygen Materials: • photovoltaic cell (3V min) or 9-volt Time: battery (1 per group) 1 hour • piece of aluminum foil, approx. 6 cm x 10 cm (2 per group) • salt • electrical wires with alligator clips (2 per group) • beaker or small bowl (1 per group) • water • stirring rod or spoon • graduated cylinder (several per class) • Science Journal Background Information When you add salt to the water, the salt ions (which are highly polar) help pull the water molecules apart into ions. Each part of the water molecule (H2 O) has a charge. The OH- ion is negative, and the H+ ion is positive. This solution in water forms an electrolyte, allowing current to flow when a voltage is applied. The H+ ions, called cations, move toward the cathode (negative electrode), and the OH- ions, called anions, move toward the anode (positive electrode). Bubbles of oxygen gas (O2 ) form at the anode, and bubbles of hydrogen gas (H2 ) form at the cathode. The bubbles are easily seen.
    [Show full text]
  • Effects of Electrical Current, Ph, and Electrolyte Addition on Hydrogen Production by Water Electrolysis
    Proceedings of The 5 th Sriwijaya International Seminar on Energy and Environmental Science & Technology Palembang, Indonesia September 10-11, 2014 Effects of Electrical Current, pH, and Electrolyte Addition on Hydrogen Production by Water Electrolysis Sri Haryati 1*, Davit Susanto 1, and Vika Fujiyama 1 1Chemical Engineering Department Sriwijaya University Jalan Raya Palembang-Prabumulih Km 32 Indralaya OI Sumatera Selatan Indonesia Corresponding author : [email protected] ABSTRACT Hydrogen is viewed as one of the most potential energy source in the future. One of methods to produce hydrogen is by electrolysis of water. Variables that was applied in this work were electrical current (0.5 A and 0.9 A), pH (13.47 and 13.69), and electrolyte additions (namely NaOH and KOH) with processing times for 30 minutes. The result of this work were variations of electrical current at 0.9 A, pH at 13.69 and electrolyte NaOH is at 278.394 L with volume rate 154.663 mL/s produced most amount of hydrogen, whereas condition of 0.5 A, pH 13.47 and electrolyte KOH was 75.122 L with volume rate of 41.734 mL/s yielded the lowest amount. Keywords : Hydrogen, Electrolysis of Water, Current, pH, Electrolyte 1. INTRODUCTION gasification, partial oxidation of oil, As the world population increases, so is the thermochemical process, fermentation, and the energy consumption. However, to met the energy electrolysis of water (Winter, 2009). Electrolysis demand, most countries utilizes fossil fuel-based of water is an environmentally-friendly way to processes, that are relatively inefficient and produce hydrogen without emissions.
    [Show full text]
  • Fact Sheet – Electrolysis and Green Hydrogen Projects
    Nouryon Global Communications Fact sheet – electrolysis and green hydrogen projects October 18, 2018 Electrolysis at Nouryon, already at 1000 megawatt scale • In our chlor-alkali process – a total installed capacity in the Netherlands and Germany of 380 megawatt and production of up to 38 kton of hydrogen per year. • In our sodium chlorate process – installed capacity of 620 megawatt (electric capacity) and production of up to 62 kton of hydrogen per year. • Water electrolysis – a total installed capacity in Norway of 10 megawatt, with production of up to 1.5 kton of hydrogen per year. • Overall hydrogen production in existing processes of around 100 kton per year. We are partnering to build a green hydrogen market and achieve scale, projects in execution or approved • Bus pilot Frankfurt-Höchst Industrial Park, Germany As part of the German National Innovation Program for Hydrogen and Fuel Cell Technology, two hydrogen-powered fuel cell buses are running at Frankfurt-Höchst Industrial Park. They are operated by Infraserv Höchst, the company managing the industrial park, and hydrogen is supplied by Nouryon. The hydrogen is a byproduct of our chlorine production at the industrial park. For more info: see media release • Bus pilot Delfzijl, the Netherlands A hydrogen refueling station is located next to the Chemiepark Delfzijl in the Netherlands. The station has been built under the High V.LO-City project and is operated by PitPoint clean fuels with Nouryon supplying the hydrogen by pipeline. The hydrogen is a by-product from our chlorine production, produced sustainably by electrolysis, using electricity produced from wind energy.
    [Show full text]
  • Petri Dish Electrolysis Electrolysis Reactions SCIENTIFIC
    Petri Dish Electrolysis Electrolysis Reactions SCIENTIFIC Introduction Electrolysis is defined as the decomposition of a substance by means of an electric current. When an electric current is passed through an aqueous solution containing an electrolyte, the water molecules decompose via an oxidation–reduction reaction. Oxygen gas is generated at the anode, hydrogen gas at the cathode. Depending on the nature of the electrolyte, different reactions may take place at the anode and the cathode during the electrolysis of aqueous solutions. Build simple and inexpensive electrochemical cells using Petri dishes to compare the reactions of sodium sulfate, potassium iodide, and tin(II) chloride. Concepts • Electrolysis • Oxidation and reduction • Anode and cathode • Acid–base indicators Materials Phenolphthalein indicator solution, 0.5%, 1 mL Beral-type pipets, 2 Potassium iodide solution, KI, 0.5 M, 20 mL Paper clips, 2 Sodium sulfate solution, Na2SO4, 0.5 M, 20 mL Paper towels Starch solution, 0.5%, 1 mL Pencil leads, 7 mm, 2 Tin(II) chloride solution, acidified, SnCl2, 1 M, 20 mL* Petri dish Universal indicator solution, 5 mL Stirring rod 9-V Battery Wash bottle and distilled water Battery cap w/ alligator clip leads *See the Preparation section. Safety Precautions The acidic tin(II) chloride solution is corrosive to body tissue and moderately toxic by ingestion. Phenolphthalein and universal indicators solutions contain ethyl alcohol and are flammable liquids. Keep away from flames and heat. Avoid contact of all chemicals with eyes and skin. Wear chemical splash goggles, chemical-resistant gloves, and a chemical-resistant apron. Wash hands thoroughly with soap and water before leaving the lab.
    [Show full text]
  • Chapter 2 Brine Needs in the Chlor-Alkali Industry
    ADVERTIMENT . La consulta d’aquesta tesi queda condicionada a l’acceptació de les següents condicions d'ús: La difusió d’aquesta tesi per mitjà del servei TDX ( www.tesisenxarxa.net ) ha estat autoritzada pels titulars dels drets de propietat intel·lectual únicament per a usos privats emmarcats en activitats d’investigació i docència. No s’autoritza la seva reproducció amb finalitats de lucre ni la seva difusió i posada a disposició des d’un lloc aliè al servei TDX. No s’autoritza la presentació del seu contingut en una finestra o marc aliè a TDX (framing). Aquesta reserva de drets afecta tant al resum de presentació de la tesi com als seus continguts. En la utilització o cita de parts de la tesi és obligat indicar el nom de la persona autora. ADVERTENCIA . La consulta de esta tesis queda condicionada a la aceptación de las siguientes condiciones de uso: La difusión de esta tesis por medio del servicio TDR ( www.tesisenred.net ) ha sido autorizada por los titulares de los derechos de propiedad intelectual únicamente para usos privados enmarcados en actividades de investigación y docencia. No se autoriza su reproducción con finalidades de lucro ni su difusión y puesta a disposición desde un sitio ajeno al servicio TDR. No se autoriza la presentación de su contenido en una ventana o marco ajeno a TDR (framing). Esta reserva de derechos afecta tanto al resumen de presentación de la tesis como a sus contenidos. En la utilización o cita de partes de la tesis es obligado indicar el nombre de la persona autora.
    [Show full text]