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PartnersTechspace Aero (TA) www.techspace-aero.be
Techspace Aero designs, develops and supplies modules, equipments, services and test cells for aircraft and space engines. Part of the SAFRAN Group, the company has the ambition to be world leader in its fields of excellence. Partner of choice for the major engine manufacturers, Techspace Aero plays a role in a number of the largest aerospace programs, taking full responsibility for complete systems right from the preliminary design stage. Its potential in the area of Research and Technology is of the highest order thanks to its top level teams and programs of collaboration with internationally acclaimed Universities and Research Centres. Techspace Aero's basic activity is the design and manufacture of modules and components for aero engines, with a particularly strong expertise in low-presssure compressors and high tech parts. Through partnership agreements with the major international engine manufacturers such as General Electric, Pratt & Whitney or Snecma, the company is responsible for the low pressure compressors of the main new engines currently being used in commercial aviation (CF34, CFM56, GP7000, GE90, GEnx). Techspace Aero has built up a solid reputation on the international market in the field of engine equipments, in particular jet-engine lubrication systems: 55% market share for planes of more than 100 seats over the last ten years. Techspace Aero is also a leading designer and manufacturer of valves for space engines. In the services field, Techspace Aero performs the maintenance and repair of military equipment and engines (especially supporting 14 Air Forces for the F100 engine used in Boeing F-15 and Lockheed-Martin F-16 fighters), component repair for commercial engines, as well as engine testing. For a number of years, the company has been developing a test cell engineering business, which it has strengthened by the acquisition of an American company, Cenco Inc in 2003. In addition to SAFRAN (F-51% of the capital), the other shareholders in Techspace Aero are the Walloon Region of Belgium (B-28.4 %), Pratt & Whitney (USA-19%) and the Federal Investment Company (B-1.6%). The company has ISO 9001-2000, ISO 14001, AS/EN 9100, JAR&FAR 145, AQAP 110 certification. MTU Aero Engines (MTU) www.mtu.de
MTU Aero Engines is the largest German manufacturer of aero engines with applications in civil and military sectors. MTU Aero Engines employs about 7.130 staff at its main site at Munich and at MTU Maintenance shops in Hanover, Berlin-Brandenburg, Vancouver and Zuhai. The annual turnover exceeded 2.5 billion Euro in 2007. The comparison of the world largest engine manufactures indicates MTU on the sixth position. The company is a risk- and revenue -sharing partner across all major commercial thrust categories like business jets, narrowbody and widebody applications. Therefore MTU has built up strong co-operation structures in Europe and America in the aero engines field. MTU Aero Engines develops and manufactures components for engines covering a wide thrust range reaching from propulsion systems for small business jets (PW 300) up to large commercial aircraft (GP 7000 / PW 6000 / V 2500). In the field of military aircraft engines MTU is a major partner in respective European programmes providing engines for the Eurofighter (Typhoon), Tornado, Tiger and A400 M. The main component currently supplied - and expected to remain the core business - is the turbine section, while the activities are extended to the design and manufacture of compressors for future applications as well. New concepts as high speed low spool technology and the inter-cooled recuperative aero-engine are seen as key issues for future development. MTU has built up a strong expertise in the field of gas turbine materials and components engineering, production, inspection and overhaul, gained from its design work, production and overhaul departments as well as from participation in previous national and international research programmes. Highly qualified personnel with several years of experience in material science and engineering as well as in aero-engine component design and testing will be allocated to the project, guaranteeing successful work on the research activity and, at the same time, exploiting the results by incorporating the knowledge gained in the design system of modern gas turbines. Rolls-Royce plc (RRUK) www.rolls-royce.com
Rolls-Royce plc is a UK based global company providing power on land, sea and air with a turnover of £5.9bn. The company has established leading positions in civil aerospace, defence and energy markets with a worldwide network of offices and manufacturing or service facilities in 20 countries. Its core gas turbine technology has created one of the broadest product ranges of aero-engines in the world, with 55 000 engines in service with 500 airlines, 4,000 corporate and utility operators and more than 160 armed forces, powering both fixed wing and rotary aircraft. Rolls-Royce plc is the global leader in marine power systems with a broad product range and full systems integration capability. More than 70 navies use Rolls-Royce propulsion. The company is investing in new products and capabilities for energy markets that include the oil and gas industry and power generation, and has energy customers in nearly 120 countries. Rolls-Royce plc employs approximately 35,000 people, of which 21,000 are in the UK. Forty per cent of its employees are based outside the UK - including 5,000 in the rest of Europe. Rolls-Royce plc pioneered gas turbine technology for aerospace, power generation and marine propulsion and is involved in all the major future programmes in these fields. These include the Trent aero and industrial engines, the Eurofighter, Typhoon and Joint Strike Fighter combat engines, the WR21 marine engine and leading edge water jet propulsion systems. Rolls-Royce Deutschland (RRD) www.rolls-royce.de
The current main development programmes are related to BR700 family of aero-engines with a thrust range from 14,000lbs to 23,000lbf, aiming at both the regional aircraft market covering 60 to 130 seats and the long range business jet market. Series production began in 1996 and at the end of August 2009 the 3,000th newbuild engine left the Customer Delivery Centre in Dahlewitz.
First engine run was in 2008. Series production started in 2009. The turboprop engine TP400 for the A400M aircraft has been developed within the European consortium EPI. The western world's most powerful turboprop engine with 8200 kW shaft power made its first flight in 2009. RRD is type certificate holder for in-service Tay, Spey and Dart engines, and does final assembly of the Tay 611-8C engine for the Gulfstream G450 business jet, which entered service in May 2005. The programme responsibility for the V2500 programme, its technology management, final assembly and test were transferred to Rolls-Royce Deutschland. The V2500 is a twin-shaft turbofan for short and medium-range aircraft, which is installed on the Airbus A319, A320 and A321 and the A319 Corporate Jet. RRD covers the acquisition and application of specific core engine technologies for the full range of Rolls-Royce civil aero-engines and particularly for two shaft engines above 13,000 lbf of thrust. The Oberursel plant manufactures high-tech components and parts for a number of engine programmes, among them Trent XWB and Trent 700. The final assembly, repair and overhaul of the RTM322 engines, which has been developed in cooperation with Turbomeca, for the NH90 helicopter of the Bundeswehr is carried out in Oberursel. The 100th engine for the Bundeswehr left the assembly line in 2009. In 2008 RRD's revenue was ~ 1.1 billion EUR, the order book stood at over 3.9 billion EUR,had more than 3,000 employees and delivered 478 engines. SNECMA (SN) www.snecma.fr
Snecma is a company of Safran Group. Safran Group is a high technology group, specialised in Propulsion, Communication, Equipment and Defense Security, with annual sales of more than 11.3 billion Euros (2006). Snecma is one of the world's leading aerospace propulsion companies, with a wide range of propulsion systems on offer. By drawing on these different propulsion technologies, Snecma leverages its ability to deliver innovative solutions and develop the multidisciplinary synergies which are critical for tomorrow's air and space powerplants. In the civil aviation sector, Snecma develops, produces and markets the best-selling family of CFM56 turbofans through CFM International, a joint company equally owned with General Electric. These engines power many different Airbus and Boeing jetliners. Snecma designs, develops and builds military aircraft engines offering world-class performance. For example, the M88 engine that powers France's new-generation Rafale fighter has the highest turbine inlet temperature in the world. Our engines power over 20 different types of transport, training and combat aircraft for 41 armed forces around the world. A military aircraft powered by Snecma takes off somewhere in the world every minute. Snecma leads the team of European companies that make propulsion systems and equipment for other launch vehicles, satellites and space vehicles. Snecma at a glance: Turbomeca (TM) www.turbomeca.fr
Turbomeca is a member of the Propulsion branch of the SAFRAN Group, an international high-technology group with four core businesses: aerospace propulsion, aircraft equipment, defense security and communications. Turbomeca is the world leader in the design, production and sale of gas turbines for helicopters. It also produces turbines for trainer and support. As the leading manufacturer of helicopter engines, Turbomeca offers the world's most comprehensive range of engines, strong co-operations with customers and closest customer service proximity. Research and development Turbomeca and its products
Aeroplanes
>A global presence With 14,000 turbines in operation and 2,200 customers in 150 countries, Turbomeca provides a world-wide quality service, with its 14 sites, 2 subsidiaries, 25 TurboSupport centers (maintenance), 24 repair centers (repair and overhaul) and its 90 technical field representatives. Turbomeca's industrial and commercial sphere of activity is represented by its 14 sites, all of which have industrial and repair facilities at their disposal, found throughout France and found in Great-Britain, the USA, Australia, Brazil, Africa, Canada, Germany, India, Japan, Pacific Asia and South America. The two subsidiaries (Microturbo, CGTM) are based in France. Turbomeca makes a point of being open to the whole world and is thus making great progress. Industria de Turbo Propulsores S.A (ITP) www.itp.es
Industria de Turbo Propulsores S.A. (ITP) was established in 1989. Their current shareholders are Rolls-Royce (47%) and SENER (53%). The business activity of ITP ranges from overhaul and assembly of existing and new aero-engine propulsion systems, to the research, design, development and manufacture of gas turbine elements for the civil and military aeronautics industries, as well as for industrial gas turbine applications (power generation, marine propulsion, etc.) The company has two industrial sites. The first one in Ajalvir (Madrid), where assembly and overhaul work is carried out, and the second one, in Zamudio (Vizcaya), where gas turbine components are manufactured. Design, engineering and R&D activities are performed in Zamudio as well as in San Fernando (Madrid) where ITP posses dedicated engineering facilities. ITP is involved in joint ventures with main engine manufactures in the design, manufacture and maintenance of aero, military and industrial engines. Through partnership with RR, ITP is responsible for the Low Pressure Turbine (LPT) and the Rear Bearing Support for the Trent engine family (Trent 500, Trent 900, Trent 1000). ITP is also responsible for the LPT module for the BR715 as a partner of RRD. Regarding military applications, ITP is involved in EJ200 engine with a participation of 18%, in TP400 turboprop engine with a participation of 20,6% and in the MTR390 for the Eurocopter with a participation of 25%. ITP has also participation in the industrial field being a partner with GE for the LM2500 and LMS100 engines. R&D focus: Low Pressure Turbine Modules, Exhaust Systems (Nozzle & Diffusers) and Transmissions and Structures (Tail Bearing Housing & Bearing Chambers). ITP policy is to increase their competitiveness through the development of more innovative technological products. WSK "PZL - Rzeszow" S.A. (WSK) www.wskrz.com
WSK "PZL-Rzeszów" S.A. is a company with 70 years tradition in aviation and machine building industries. WSK "PZL-Rzeszów" S.A. has about 3800 employees. Operation consists of following main divisions:
Main customers: Pratt and Whitney Canada, Pratt and Whitney U.S., GEAE, Core Skills of WSK are: Main products of WSK are: parts and components of aviation engines and overhaul of jet engines SO-3, turboprop engines: PZL-10S, turboshaft engines: GTD-350 and modifications: GTD-350W, GTD-350 W2 and PZL-10W. ARTTIC SAS (ARTTIC) www.arttic.be
Created in 1987, ARTTIC is a European provider of management services for international collaborative R&D projects. The ARTTIC group comprises several companies based in France, Belgium, Germany, UK and Israel. ARTTIC's total staff adds up to about 50 persons, all specialised in the provision of advice and practical assistance in all aspects of international R&D collaborations and projects. Services include helping clients to establish project feasibility; finding international partners; establishing consortia; managing the proposal development activities; helping negotiate contracts; taking charge of all management aspects of live projects and helping to disseminate and exploit successful project results. Experience in the management of large collaborative R&D projects ARTTIC is currently participating in several FP6 and FP7 integrated projects, networks of excellence and STREPs. In the fields of Transport, ARTTIC is involved in five large aeronautics Integrated Projects in FP6: VIVACE (aircraft design process), MOET (aircraft electrical design), NACRE (new aircraft architectures), VITAL and NEWAC (new clean and noiseless engine technologies), and three in FP7: DREAM (new engine architectures), MAAXIMUS (composite) and SCARLETT (electrical systems). ARTTIC is also involved in two FP7 small /medium size projects (TAUPE and TECC-AE). ARTTIC contribution and role to ELUBSYS ARTTIC will be involved in the ELUBSYS project from its Brussels offices. ARTTIC will be in charge of the project office (WP0). ARTTIC will provide methods and tools to support the collaboration within the consortium and to manage the project. This includes:
ARTTIC will then support the consortium in the daily management and administrative tasks to ensure the collaboration is working, the project is properly monitored and decisions and actions are prepared and taken according to the project progress. An important aspect of the role of ARTTIC is also to simplify as much as possible the work of the researchers and to develop a collaborative spirit inside the consortium. The ARTTIC team will be made of an experienced project manager who will be in charge of implementing the project management plans, following the decisions and actions decided by the Steering Committee and Technical Management Board and more generally to identify and bring solutions to any difficulties met. A project administrator will complete the team to provide the support necessary for all administrative tasks (reporting, organisation of meetings, etc.). The team will then be supported whenever necessary by additional ARTTIC specialists: senior consultant for solving complex partnerships problems and for quality assurance, web master for the collaborative platform, etc. Centre de Recherche en Aéronautique (CENAERO) www.cenaero.be
CENAERO is an applied research centre with focus on the development of advanced multidisciplinary simulation technologies for Aeronautics. It is a private non-profit organization founded in 2002 to support innovation for the aerospace companies of the Walloon region. It is mainly funded by the Walloon Region and structural funds ERDF and ESF of the European Union. CENAERO is a growing team of 42 highly skilled engineers and scientists specialized in numerical methods, material and process modelling, computational fluid dynamics, physics and applied mathematics. Its expertise expands further thanks to a close partnership with the major Walloon aerospace companies (Techspace Aero, SONACA, SABCA, Alcatel Etca), academic institutions (Université Catholique de Louvain, Université Libre de Bruxelles, Université de Liège) and the von Karman Institute for fluid dynamics. CENAERO research activities are organized according to four strategic axes: 1. Virtual manufacturing; 2. Multiscale material modelling; 3. CFD-based multiphysics; 4. Numerical methods and optimization. CENAERO is currently involved in 15 running FP6 projects as partner (VIVACE, PROHIPP, VIF-CA, VITAL, FAR-Wake, SYNCOMECS, LAPCAT, MUSCA, VERDI, NEWAC, CESAR, NICE-TRIP, TATMO, ADIGMA and DATAFORM) and is the coordinator of the DEEPWELD and the ADVICE projects. CENAERO is equipped with supercomputing facilities including a Linux cluster with 434 processors (264 Opteron cores and 170 Xeon processors), 528 GB of memory, 16 TB of disk space and Myrinet interconnect as well as a Silicon Graphics Altix 3700 with 28 Itanium2 shared memory and 56 GB of shared memory. Tekniker www.tekniker.es
Tekniker was legally incorporated in 1981 as a non-profit making Foundation based on a statutory commitment, whose mission is to contribute to increase the innovation capability of the industrial sector to improve its competitiveness through the generation and application of technology and knowledge. Tekniker specialises in manufacturing technologies, i.e. all areas concerned with products, processes, production machinery, handling (capital goods) and all-round management of product life-cycles. Automotive parts, machine tools, mechanical capital goods, aerospace, chemical & petroleum products and industrial and consumer electronics are the most relevant sectors served by Tekniker. All technological objectives are addressed with a staff of 220 people, being the actual annual turnover of around 9MEuros. Tekniker has been involved in many research programmes National, European and International. The Manufacturing processes Department of Tekniker is devoted, in one of its main research areas, to the tribology and lubricants research. 18 years of experience in characterising oils and greases and in making research on new developments, chemical properties of lubricants, new analytical methods, tribological systems, condition monitoring, sensor design and development, expert systems, predictive maintenance through the analysis of oil makes Tekniker a reference in research in Europe leading quite a big number of research projects and being members of different European and International Groups (WEARCHECK, ELGI, ICFG, COST TRIBOLOGY,…). Université Libre de Bruxelles (ULB) www.ulb.be
The Université Libre de Bruxelles (ULB) is the French speaking university of Brussels. It is a complete university offering the full scope of educational degrees. One of its faculties is the Faculty of Applied Sciences where a complete programme with 3 years of Bachelor and 2 years of Master is offered to the students, among with a lot of Erasmus students. In the Master, a specialisation in Aeronautics is available for the students. This programme is now organised in cooperation with the Flemish University of Brussels (VUB), the KU Leuven and the Royal Military Academy of Belgium. The Service of Fluid Mechanics and Aerospace Propulsion is one of the members of the Faculty of Applied Sciences and the largest contributor to this specialisation in Aeronautics, with 4 Professors and about 10 assistants/researchers busy with their PhD or post-doc activities. The service has also very close links with the von Karman Institute. For the ELUBSYS project, ULB will involve close collaborators from its academy that originates from sister institutions in Mons and Liege. Frederick Institute of Technology (FIT) www.fit.ac.cy
Frederick Institute of Technology (FIT) is dedicated to the provision of high quality research in many fields of Science and Technology. The staff (about 220) is comprised of highly qualified and experienced Ph.D. personnel. The Institute assures high standards by carrying-out a wide spectrum of quality applied research programs recognized at international level. The Mechanical Engineering Department at FIT is one of the very few in Cyprus with infrastructure and strong activities related to applied research in the areas of Energy, Materials, Manufacturing Technology, Technology Management and other technology-related fields. More than 85 research projects were funded during the last 10 years (National and EU contribution). The Mechanical Engineering Design Group (MEDG) is a multi-disciplinary research group and it's personnel currently consists of one professor, one associate professor, one assistant professor, one Lecturer, two postdoctoral researchers and one administrative assistant. Two of its members have years of experience in aerospace research projects, because they have worked in the past as group leaders in the R&D departments of aerospace industries. The members of the ME Laboratory are experienced in the use of modern CAD/CAE tools (ANSYS, Nastran, SolidWorks, Matlab etc.) and are specialized in the development of algorithms and their application in related computational tools. The work of the MEDG has been aimed at the development of state-of-the-art analytical methods and computational tools in areas such as finite elements, boundary elements, mesh grid generation, solver techniques, parameter identification and hybrid optimization techniques with various applications in machine design. The MEDG also has experience in CFD-multiphase modelling using the ANSYS CFX software. ANSYS CFX software is used by many researchers successfully for simulating multiphase flows. Moreover, previous work established the suitability of ANSYS CFX, for computation of two-phase air/dispersed oil flow and oil droplet motion within a high-speed rotating system typical of bearing chambers and of multiphase flow in horizontal pipes. This work will provide the basis for future developments. Institut National des Sciences Appliquées de Lyon (INSA-Lyon) http://lamcos.insa-lyon.fr/
The laboratory develops experiments and models for understanding and predicting friction, wear and damage processes and also the behaviour of mechanical parts & systems under complex, static and dynamic solicitations. The LaMCoS plays an important role in sustainable development through its work on the lightening of the structures, the prevention of the risks of failures, the control of wear, the use of the non-polluting lubricants, the tribological sources of noise… The laboratory is organised in four groups:
The research interests of the 'Mechanical Systems and Contacts' team concern the functional analysis of lubricated contacts and the interactions between contacts and mechanical systems. Research topics The Mechanical Systems and Contacts team collaborates and publishes with other research groups in France and abroad: the Mechanical Engineering Department of ECAM-Lyon, the LTDS of Ecole Centrale de Lyon, the LMS of Ecole Polytechnique de Paris, the Tribology group of Imperial College, London, etc. The group is the academic arm of TRANSMECA, the joint CETIM, CNRS and INSA-Lyon gearing systems laboratory. The Laboratory of Contact Mechanics and Structures (LaMCoS) is a Joint Research Unit (JRU n°5259) between INSA of Lyon and CNRS University of Bordeaux (UoB) www.univ-bordeaux.fr
The competences at Trefle are as follows:
Trefle collaborates with a large set of Partners : SNECMA, CEA, EDF, TOTAL, MITTAL-ARCELOR, TURBOMECA, SOGREAH, VAREL ... Universität Karlsruhe (TH) - UNIKARL www.its.uni-karlsruhe.de
The Universität Karlsruhe (TH) is not only the oldest technical university in Germany but also ranked one of the top universities in the German excellence initiative. There are 18,000 undergraduate students and 1400 scientific personnel employed at 11 departments. The Institut fuer Thermische Stroemungsmaschinen (ITS) is one of the major chairs within the Department of Mechanical Engineering at Universität Karlsruhe. Research activities at the ITS are conducted by one full professor (director), three senior engineers (heads of research departments), 30 research assistants and 40 master students. Gas turbine related research at the ITS is mainly concentrated on the hot gas section and the neighbouring parts of gas turbines. Particular emphasis is given on the following areas:
Design and cooling problems of highly loaded components ranging from turbine blades and airfoils, combustion chamber walls to turbine disks or labyrinth seals are important topics in the research activities since many years. The ITS was able to accumulate more than 25 years of experience and a highly recognized expertise in these fields. The experimental and numerical analysis of complex combustion chamber flows, including reacting flows, combustion instabilities, liquid fuel atomization and pollutant formation plays an important role in the ITS research activities. Another major field are two-phase flow phenomena ranging from fuel preparation in gas turbines and IC- engines to lubrication oil in high performance aero engines, leading to a well-established background in experimental and theoretical analysis of two phase flows. The investigation of flow and heat transfer in the internal air/oil system including labyrinth seals, pre-swirl systems, cavity flows and bearing chamber flows requires suitable test rigs and methods for data acquisition in rotating environments. Various measurement techniques including 2D and 3D LDV and Phase-Doppler-instruments, 3D PIV for single and two phase flows, laser diffraction instruments, multi-channel hot wire systems, IR cameras, high speed visualization instruments, multi-species gas analysis, standard pneumatic probes and a variety of surface temperature and heat flux probes are available and applied in high pressure and high temperature test rigs as well as in rotating rigs. For many years the ITS is or was involved in numerous national and international research projects, including e.g. EC funded projects of the 5th frame-work programme such as ATOS, CFD4C, ICAS-GT II, SiA, Preccinsta, Muscles, DWDIE and of the 6th frame-work programme TATEF II, AITEB II, TLC, AERONET III, MAGPI and many more. University of Nottingham www.nottingham.ac.uk
The University of Nottingham Technology Centre (UTC) in Gas Turbine Transmission Systems is a multi-disciplinary research group that combines the expertise of academics from Mechanical Engineering, Mathematical Sciences and Chemical Engineering. Formed in 1997, the UTC has significant experience in the application of experimental, computational and numerical approaches to transmissions-related multiphase flows. The group has excellent laboratory facilities together with dedicated experimental officer and technician support. In addition, the University has recently made a significant investment in computing power, now owning the 2nd largest cluster in Europe, which will be utilised for this work. The University of Nottingham has collaborated successfully with a number of the ELUBSYS partners in previous programmes. In particular, in INTRANS, Computational Fluid Dynamics and the non-intrusive optical technique PIV were used to improve the design of air/oil separators (breathers) and in ATOS models for thin film flow and droplet film interaction were successfully linked to conventional CFD to create a design tool applicable to aeroengine bearing chambers. University of Sheffield www.sheffield.ac.uk
The University of Sheffield is one of the UK's leading research and teaching institutions, with an international reputation for academic excellence. Its mission is to maintain the highest standards of scholarship as a research-led university, whose staff work at the frontiers of academic enquiry and educate students in a research environment. In recent years, notable expansion has taken place in the Engineering Faculty. Currently the faculty is home to three Rolls-Royce University Technology Centres, in material damping, design technology and controls. The University was also chosen by the Boeing Company to be home to their Advanced Manufacturing Research Centre (AMRC) dedicated to the manufacturing needs of the aerospace industry. The University has an exemplary reputation in the field of combustion and fuel technology. This has been strengthened in the recent years with the appointment of 4 new professorial posts in aviation related areas. Two of these posts have been in the area of thermofluid dynamics and cover gas turbine combustion, fuels and lubricants and Computational Fluid Dynamics. Université de Mons (UMons) - Laboratoire de Physique des Surfaces et Interfaces (LPSI)www.umons.ac.beThe Laboratory of Surface and Interface Physics (LPSI) is a multidisciplinary team within the University of Mons and is located in the building of the "Pôle d'Excellence Materia Nova". We specialize in the study of interfaces and solid surfaces. Functional characteristics of materials are to a large degree determined by the properties of their surfaces and the interactions of these surfaces with surrounding media. As a result, the performance of a material in terms of its function in coating, wetting, adsorption, friction and wear, optics, etc. can be manipulated by introducing surface layers of molecular thickness. Our aim is to understand how the interfacial characteristics of materials affect their function and performance, statically and dynamically, and hence determine their technological and economic value. Armed with a growing arsenal of surface chemical and structural facts, obtained from experiments, theory, and computer modelling, all techniques available within the LPSI, we are able to explore myriad ways of controlling the complex behaviour and properties of real materials, like the lotus leaf, to design and create surfaces on demand. The centre is focussed along four complementary axes:
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