Simulation des colonnes d'extraction à l'aide d'un modèle de population de gouttes

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Simulation des colonnes d'extraction à l'aide d'un modèle de population de gouttes by : Sofka Dimitrova Al Khani

Download or read book Simulation des colonnes d'extraction à l'aide d'un modèle de population de gouttes written by Sofka Dimitrova Al Khani and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: L'AMELIORATION DES ALGORITHMES D'INTEGRATION DU MODELE DE POPULATION (EQUILIBRE HYDRAULIQUE AVEC OU SANS TRANSFERT DE MATIERE PERMET LA MISE AU POINT UN OUTIL PEU COUTEUX D'ANALYSE DES RESULTATS EXPERIMENTAUX ET DE SIMULATION. DIVERSES COLONNES D'EXTRACTION LIQUIDE-LIQUIDE SONT ETUDIEES : PULSEE A PLATEAUX PERFORES, KUEHNI, PULSEE A DISQUES ET COURONNES. PRESENTATION DE L'APPROXIMATION DU MODELE CONTINU PAR LA METHODE DE COLLORATION ORTHOGONALE SUR LES ELEMENTS FINIS

Simulation du transfert de matière multiconstituant en colonne d'extraction à l'aide d'un bilan de population de gouttes

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ISBN 13 :
Total Pages : 314 pages
Book Rating : 4.:/5 (489 download)

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Book Synopsis Simulation du transfert de matière multiconstituant en colonne d'extraction à l'aide d'un bilan de population de gouttes by : Albert Zimmermann (Chimiste)

Download or read book Simulation du transfert de matière multiconstituant en colonne d'extraction à l'aide d'un bilan de population de gouttes written by Albert Zimmermann (Chimiste) and published by . This book was released on 1993 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE FONCTIONNEMENT D'UNE COLONNE D'EXTRACTION LIQUIDE-LIQUIDE EST ESSENTIELLEMENT CARACTERISE PAR L'HYDRODYNAMIQUE, LE TRANSFERT DE MATIERE MULTICONSTITUANT ET L'EQUILIBRE THERMODYNAMIQUE. POUR LA SIMULATION ET LA CONCEPTION D'UN PROCEDE D'EXTRACTION DIFFERENTES APPROCHES ONT ETE POURSUIVIES, CHACUNE D'ELLES PRIVILEGIANT AU NIVEAU DU MODELE L'UN DE CES TROIS ASPECTS. L'OBJECTIF DU TRAVAIL EST DE PROPOSER UN MODELE QUI COUPLE LA DESCRIPTION DETAILLEE DE L'HYDRODYNAMIQUE ET DU TRANSFERT DE MATIERE MULTICONSTITUANT. L'APPROCHE CHOISIE REPOSE SUR LE CONCEPT D'ETAGE DIT DE NON-EQUILIBRE. DES FACTEURS EMPIRIQUES TELS QUE L'EFFICACITE D'ETAGE, INTRODUITS DANS LA LITTERATURE POUR TENTER DE PALLIER LES DEFICIENCES DES MODELES D'ETAGES THEORIQUES, SONT ENTIEREMENT SUPPRIMES. L'INTERPHASE EST REPRESENTEE PAR UN MODELE DE DOUBLE FILM, DANS LEQUEL L'EQUILIBRE THERMODYNAMIQUE EST ADMIS. LES FLUX DE TRANSFERT DE TOUS LES CONSTITUANTS SONT DECRITS EN NE FAISANT INTERVENIR QUE DES PARAMETRES BINAIRES LOCAUX. SUR LE PLAN HYDRODYNAMIQUE, UN MODELE DE POPULATION DE GOUTTES A ETE ADOPTE AFIN DE PRENDRE EN COMPTE LE CARACTERE POLYDISPERSE DE LA PHASE DISPERSEE. AINSI, LE MODELE REPOSE EXPLICITEMENT SUR LES MECANISMES FONDAMENTAUX DE TRANSPORT, DE RUPTURE ET DE COALESCENCE DES GOUTTES. LA COLONNE EST REPRESENTEE PAR UNE SEQUENCE D'ETAGES AVEC DEBITS DE RETOUR PERMETTANT DE REPRESENTER UN ECOULEMENT DE TYPE PISTON-DISPERSION POUR LES DEUX PHASES. SUR CHAQUE ETAGE, LES EQUATIONS DE BILAN MATIERE, DE FLUX DE TRANSFERT ET D'EQUILIBRE THERMODYNAMIQUE SONT ETABLIES. LA COMPARAISON AVEC DES DONNEES EXPERIMENTALES MONTRE QUE LE MODELE EST CAPABLE DE PREDIRE AVEC PRECISION LE FONCTIONNEMENT D'UNE COLONNE D'EXTRACTION LIQUIDE-LIQUIDE. BIEN QUE L'ECRITURE DU MODELE SOIT TRES CENTREE SUR DES TRANSFERTS LIQUIDE-LIQUIDE, LA GENERALISATION A TOUT PROBLEME DIPHASIQUE PARAIT POSSIBLE

Commande prédictive d'une colonne d'extraction par solvant

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ISBN 13 :
Total Pages : 215 pages
Book Rating : 4.:/5 (489 download)

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Book Synopsis Commande prédictive d'une colonne d'extraction par solvant by : Ahcène Moussaoui

Download or read book Commande prédictive d'une colonne d'extraction par solvant written by Ahcène Moussaoui and published by . This book was released on 1995 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'AUTOMATISATION ET LE CONTROLE DES COLONNES D'EXTRACTION LIQUIDE-LIQUIDE EST UN PROBLEME D'ACTUALITE. CES CONTACTEURS SONT DE PLUS EN PLUS EMPLOYES DANS DES SECTEURS INDUSTRIELS COMME LA CHIMIE FINE QUI UTILISE DES UNITES POLYVALENTES ET FLEXIBLES. OR, CES APPAREILS SONT CONNUS POUR ETRE DIFFICILES A CONTROLER, EN PARTICULIER A CAUSE DE LEUR COMPORTEMENT DYNAMIQUE FORTEMENT NON-LINEAIRE ET VARIABLE DANS LE TEMPS. DANS UN PREMIER CHAPITRE, UNE REVUE DES DIFFERENTES ETUDES CONCERNANT LA MODELISATION DU FONCTIONNEMENT DYNAMIQUE ET LA CONDUITE DES COLONNES PULSEES EST PRESENTEE. UNE DESCRIPTION DU MODELE DYNAMIQUE DE SIMULATION BASE SUR UN BILAN DE POPULATION DE GOUTTES Y EST DONNEE. ON PRESENTE ENSUITE DANS UN SECOND CHAPITRE LES TECHNIQUES EXPERIMENTALES UTILISEES AINSI QUE L'ETUDE DU COMPORTEMENT DYNAMIQUE DE LA COLONNE PILOTE. A PARTIR D'ETUDES ANTERIEURES, ON EST PARVENU A LA CONCLUSION QU'UNE POLITIQUE DE CONTROLE UNIQUE POUVAIT ETRE APPLIQUEE AUX COLONNES MECANIQUEMENT AGITEES, ET CELA QUEL QUE SOIT LE SYSTEME TERNAIRE UTILISE. IL A ETE DEMONTRE QU'UN REGIME OPTIMAL DE FONCTIONNEMENT EXISTE AU VOISINAGE DE L'ENGORGEMENT. L'ETAT D'ENGORGEMENT DE LA COLONNE PEUT ETRE CARACTERISE PAR L'APPARITION D'UN LIT DE GOUTTES AU NIVEAU DU DISTRIBUTEUR DE PHASE DISPERSEE. LE DEVELOPPEMENT D'UN TEL LIT PEUT ETRE SUIVI EN LIGNE PAR UN CAPTEUR APPROPRIE, PAR EXEMPLE A L'AIDE D'UNE SONDE CONDUCTIMETRIQUE DANS LE CAS D'UNE SOLUTION AQUEUSE CONTINUE, LA MESURE DE CONDUCTIVITE REVENANT ALORS A UNE MESURE DE RETENTION. A CHARGE DONNEE, LES CONDITIONS D'ENGORGEMENT PEUVENT ETRE ATTEINTES EN JOUANT SUR L'INTENSITE D'AGITATION. LE PILOTE ETUDIE EST UNE COLONNE PULSEE A PLATEAUX PERFORES, AVEC LE SYSTEME TERNAIRE EAU-ACETONE-TOLUENE. AINSI, LA STRATEGIE DE CONTROLE DE L'HYDRODYNAMIQUE DE LA COLONNE CONSISTE A MAINTENIR LA CONDUCTIVITE, DONC LA RETENTION, AU NIVEAU DU DISTRIBUTEUR A UNE VALEUR DE CONSIGNE DONNEE, (QUI CORRESPOND AU DEBUT D'ENGORGEMENT DE LA COLONNE) EN JOUANT SUR LA FREQUENCE DE PULSATION. CECI CONSTITUE LA PREMIERE BOUCLE DE CONTROLE. LES TROIS ALGORITHMES DE COMMANDE ADAPTATIVE ET PREDICTIVE QUI ONT ETE DEVELOPPES ET IMPLANTES, SONT PRESENTES DANS LE 3EME CHAPITRE: COMMANDE PREDICTIVE GENERALISEE, COMMANDE PREDICTIVE GENERALISEE AVEC MODELE DE REFERENCE SUR L'ETAT PARTIEL ET COMMANDE QUADRATIQUE GAUSSIENNE. EN PREMIER LIEU, ILS ONT ETE IMPLANTES DANS LE LOGICIEL DE SIMULATION DYNAMIQUE. LES RESULTATS ET UNE ETUDE DE SENSIBILITE DES DIFFERENTS PARAMETRES DE SYNTHESE DU REGULATEUR DES TROIS ALGORITHMES SONT PRESENTES DANS LE 4EME CHAPITRE. ENFIN, LES RESULTATS EXPERIMENTAUX OBTENUS DEMONTRENT L'APTITUDE DE CE TYPE DE CONTROLEUR A ASSURER LE DEMARRAGE AUTOMATIQUE DE LA COLONNE

Computer Application in the Chemical Industry

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Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Computer Application in the Chemical Industry by : R. Eckermann

Download or read book Computer Application in the Chemical Industry written by R. Eckermann and published by . This book was released on 1989 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mécanismes de transport et de rupture des gouttes dans une colonne Kuhni

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis Mécanismes de transport et de rupture des gouttes dans une colonne Kuhni by : Ilona Seikova

Download or read book Mécanismes de transport et de rupture des gouttes dans une colonne Kuhni written by Ilona Seikova and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: CE TRAVAIL EST LIE AUX PROBLEMES DE SIMULATION DU FONCTIONNEMENT D'UNE COLONNE D'EXTRACTION LIQUIDE-LIQUIDE DU TYPE KUHNI A LA BASE D'UN MODELE DU BILAN DE POPULATION DE GOUTTES DE TAILLE DIFFERENTE, QUI SONT AFFECTEES PAR LES MECANISMES FONDAMENTAUX DE TRANSPORT, RUPTURE, COALESCENCE ET TRANSFERT DE MATIERE. L'OBJECTIF EST CENTRE SUR LE DEVELOPPEMENT D'UN APPAREIL DE LABORATOIRE DESTINE A CARACTERISER LE COMPORTEMENT DES GOUTTES UNIQUES AU SEIN D'UN COMPARTIMENT DE COLONNE KUHNI. DEUX TYPES D'INFORMATIONS SONT GENEREES ET ACQUISES AUTOMATIQUEMENT EN LIGNE PAR MICRO-ORDINATEUR: TRANSPORT DES GOUTTES DANS LE COMPARTIMENT (LE TEMPS MOYEN DE SEJOUR ET LA DISTRIBUTION DES TEMPS DE SEJOUR SONT MESURES EN FONCTION DE LA TAILLE DE GOUTTE, DE L'INTENSITE D'AGITATION, DE LA PRESENCE DE SOLUTE, DE LA DIRECTION DE TRANSFERT; RUPTURE DES GOUTTES (LES PROBABILITES DE RUPTURE ET LES DISTRIBUTIONS EN TAILLES DES GOUTTES FORMEES PAR RUPTURE). ON A UTILISE LE SYSTEME TERNAIRE EAU-ACETONE-TOLUENE (A HAUTE TENSION INTERFACIALE) ET EAU-ACIDE SUCCINIQSUE-BUTANOL (A BASSE TENSION INTERFACIALE). LES LOIS AINSI ETABLIES PEUVENT ETRE EXPLOITEES DANS UN MODELE DE BILAN DE POPULATION AFIN DE SIMULER LE FONCTIONNEMENT DE DIVERS PILOTES KUHNI

Modélisation des colonnes d'extraction à phase dispersée

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Publisher : Presses Academiques Francophones
ISBN 13 : 9783838188508
Total Pages : 112 pages
Book Rating : 4.1/5 (885 download)

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Book Synopsis Modélisation des colonnes d'extraction à phase dispersée by : Abdelmalek Hasseine

Download or read book Modélisation des colonnes d'extraction à phase dispersée written by Abdelmalek Hasseine and published by Presses Academiques Francophones. This book was released on 2012-06 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce travail est une etude d'un modele d'evaluation considerant deux parametres hydrodynamiques principaux: la retention de la phase dispersee et le diametre de Sauter. Ceci est fait pour deux types differents de colonnes d'extraction, a savoir le contacteur a disque rotatif (RDC) et la colonne Kuhni, en utilisant differents modeles de rupture et de coalescence des gouttes dans un modele de bilans de populations des gouttes. Basees sur les modeles de drainage de film pour des gouttes indeformables (des gouttes spheriques) et deformables avec les interfaces partiellement mobiles, differentes simulations ont ete effectuees et les resultats ont ete compares aux valeurs experimentales. L'accord entre l'observation experimentale et la simulation est satisfaisant et les modeles utilises se sont averes appropries pour prevoir des profils de retention et de diametre de Sauter.

Comportement de la population des gouttes dans une colonne d'extraction

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ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis Comportement de la population des gouttes dans une colonne d'extraction by : Gilbert Casamatta

Download or read book Comportement de la population des gouttes dans une colonne d'extraction written by Gilbert Casamatta and published by . This book was released on 1981 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modèle de fonctionnement général d'une colonne d'extraction, en insistant sur l'aspect hydrodynamique et extension de l'analyse à l'étude du transfert de matière : établissement du modèle continu et version discrétisée qui ont permis de le résoudre numériquement ; exploitation du modèle continu et étude de lit de phase dispersée ; hydrodynamique de la colonne en mettant en exergue le rôle des mécanismes de transport des gouttes, de rupture, de coalescence et de mélange axial ; étude du transfert des gouttes et de leur rupture dans une colonne fonctionnant à faible taux de rétention ; modèle avec transfert de matière.

Philosophy manual: a South-South perspective

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Publisher : UNESCO Publishing
ISBN 13 : 9231010069
Total Pages : 236 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Philosophy manual: a South-South perspective by : Chanthalangsy, Phinith

Download or read book Philosophy manual: a South-South perspective written by Chanthalangsy, Phinith and published by UNESCO Publishing. This book was released on 2014-12-31 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Ocean Challenge Badge

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Publisher : Food & Agriculture Org.
ISBN 13 : 925107948X
Total Pages : 172 pages
Book Rating : 4.2/5 (51 download)

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Book Synopsis The Ocean Challenge Badge by : Food and Agriculture Organization of the United Nations

Download or read book The Ocean Challenge Badge written by Food and Agriculture Organization of the United Nations and published by Food & Agriculture Org.. This book was released on 2018-05-08 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ocean covers 70 percent of the Earth’s surface, and is essential for life on our planet – even for those of us who live nowhere near the sea! It provides us all with food and other materials that we need, regulates our climate and provides half of the oxygen we breathe. The ocean also offers us various means of transport and opportunities for recreation. People have long thought that the ocean was so wide and bountiful that it would go on supplying our needs forever, but this is not the case: human activities are causing significant damage to life in the ocean. People are often unaware of the problems created by this heavy reliance, as few of us have the opportunity to look beneath the surface of the sea and see the damage that our actions have caused. This is where the Ocean Challenge Badge comes in: let it take you on a journey to discover the ocean! It is packed with activities to help you learn about how the ocean works, the creatures that live in it, and just how important it is in our everyday lives. You will also discover how YOU can play a role in protecting our ocean for future generations. We hope you will be inspired to take the challenge and celebrate our ocean. So dive in and begin your aquatic discoveries!

Faecal Sludge Management

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Publisher : IWA Publishing
ISBN 13 : 1780404735
Total Pages : 428 pages
Book Rating : 4.7/5 (84 download)

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Book Synopsis Faecal Sludge Management by : Linda Strande

Download or read book Faecal Sludge Management written by Linda Strande and published by IWA Publishing. This book was released on 2014-08-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is estimated that literally billions of residents in urban and peri-urban areas of Africa, Asia, and Latin America are served by onsite sanitation systems (e.g. various types of latrines and septic tanks). Until recently, the management of faecal sludge from these onsite systems has been grossly neglected, partially as a result of them being considered temporary solutions until sewer-based systems could be implemented. However, the perception of onsite or decentralized sanitation technologies for urban areas is gradually changing, and is increasingly being considered as long-term, sustainable options in urban areas, especially in low- and middle-income countries that lack sewer infrastructures. This is the first book dedicated to faecal sludge management. It compiles the current state of knowledge of the rapidly evolving field of faecal sludge management, and presents an integrated approach that includes technology, management, and planning based on Sandecs 20 years of experience in the field. Faecal Sludge Management: Systems Approach for Implementation and Operation addresses the organization of the entire faecal sludge management service chain, from the collection and transport of sludge, and the current state of knowledge of treatment options, to the final end use or disposal of treated sludge. The book also presents important factors to consider when evaluating and upscaling new treatment technology options. The book is designed for undergraduate and graduate students, and engineers and practitioners in the field who have some basic knowledge of environmental and/or wastewater engineering.

Dictionary of Building and Civil Engineering

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Publisher : Taylor & Francis
ISBN 13 : 9780419199106
Total Pages : 472 pages
Book Rating : 4.1/5 (991 download)

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Book Synopsis Dictionary of Building and Civil Engineering by : Don Montague

Download or read book Dictionary of Building and Civil Engineering written by Don Montague and published by Taylor & Francis. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dual-language dictionary lists over 20,000 specialist terms in both French and English, covering architecture, building, engineering and property terms. It meets the needs of all building professionals working on projects overseas. It has been comprehensively researched and compiled to provide an invaluable reference source in an increasingly European marketplace.

Terra 2008

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Publisher : Getty Publications
ISBN 13 : 1606060430
Total Pages : 438 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Terra 2008 by : Leslie Rainer

Download or read book Terra 2008 written by Leslie Rainer and published by Getty Publications. This book was released on 2011-06-14 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthen architecture constitutes one of the most diverse forms of cultural heritage and one of the most challenging to preserve. It dates from all periods and is found on all continents but is particularly prevalent in Africa, where it has been a building tradition for centuries. Sites range from ancestral cities in Mali to the palaces of Abomey in Benin, from monuments and mosques in Iran and Buddhist temples on the Silk Road to Spanish missions in California. This volume's sixty-four papers address such themes as earthen architecture in Mali, the conservation of living sites, local knowledge systems and intangible aspects, seismic and other natural forces, the conservation and management of archaeological sites, research advances, and training.

Cambridge Handbook of Engineering Education Research

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Publisher : Cambridge University Press
ISBN 13 : 1107785855
Total Pages : 1124 pages
Book Rating : 4.1/5 (77 download)

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Book Synopsis Cambridge Handbook of Engineering Education Research by : Aditya Johri

Download or read book Cambridge Handbook of Engineering Education Research written by Aditya Johri and published by Cambridge University Press. This book was released on 2014-02-10 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge Handbook of Engineering Education Research is the critical reference source for the growing field of engineering education research, featuring the work of world luminaries writing to define and inform this emerging field. The Handbook draws extensively on contemporary research in the learning sciences, examining how technology affects learners and learning environments, and the role of social context in learning. Since a landmark issue of the Journal of Engineering Education (2005), in which senior scholars argued for a stronger theoretical and empirically driven agenda, engineering education has quickly emerged as a research-driven field increasing in both theoretical and empirical work drawing on many social science disciplines, disciplinary engineering knowledge, and computing. The Handbook is based on the research agenda from a series of interdisciplinary colloquia funded by the US National Science Foundation and published in the Journal of Engineering Education in October 2006.

Engineering

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Publisher : UNESCO
ISBN 13 : 9231041568
Total Pages : 392 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Engineering by : Unesco

Download or read book Engineering written by Unesco and published by UNESCO. This book was released on 2010-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report reviews engineering's importance to human, economic, social and cultural development and in addressing the UN Millennium Development Goals. Engineering tends to be viewed as a national issue, but engineering knowledge, companies, conferences and journals, all demonstrate that it is as international as science. The report reviews the role of engineering in development, and covers issues including poverty reduction, sustainable development, climate change mitigation and adaptation. It presents the various fields of engineering around the world and is intended to identify issues and challenges facing engineering, promote better understanding of engineering and its role, and highlight ways of making engineering more attractive to young people, especially women.--Publisher's description.

Livestock Policy Analysis

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Publisher : ILRI (aka ILCA and ILRAD)
ISBN 13 : 9789291460038
Total Pages : 268 pages
Book Rating : 4.4/5 (6 download)

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Book Synopsis Livestock Policy Analysis by : International Livestock Research Institute

Download or read book Livestock Policy Analysis written by International Livestock Research Institute and published by ILRI (aka ILCA and ILRAD). This book was released on 1995-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Policy concepts; Identification of policy issues; Production systems, supply and demand; Market, price and trade policies; Marketing and distribution systems; Budget and manpower planning; Land tenure police for the livestock sector; Policy analysis report writing and communication; Livestock production and marketing in alphabeta - a case study.

Engineering for Sustainable Development

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Publisher : UNESCO Publishing
ISBN 13 : 9231004379
Total Pages : 183 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Engineering for Sustainable Development by : International Centre for Engineering Education

Download or read book Engineering for Sustainable Development written by International Centre for Engineering Education and published by UNESCO Publishing. This book was released on 2021-03-02 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report highlights the crucial role of engineering in achieving each of the 17 SDGs. It shows how equal opportunities for all is key to ensuring an inclusive and gender balanced profession that can better respond to the shortage of engineers for implementing the SDGs. It provides a snapshot of the engineering innovations that are shaping our world, especially emerging technologies such as big data and AI, which are crucial for addressing the pressing challenges facing humankind and the planet. It analyses the transformation of engineering education and capacity-building at the dawn of the Fourth Industrial Revolution that will enable engineers to tackle the challenges ahead. It highlights the global effort needed to address the specific regional disparities, while summarizing the trends of engineering across the different regions of the world.

An Introduction to Differential Manifolds

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Publisher : Springer
ISBN 13 : 3319207350
Total Pages : 408 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis An Introduction to Differential Manifolds by : Jacques Lafontaine

Download or read book An Introduction to Differential Manifolds written by Jacques Lafontaine and published by Springer. This book was released on 2015-07-29 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of “abstract” notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory. The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years. Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.