{"product_id":"barriers-and-transport-in-unsteady-flows-a-melnikov-approach-a-melnikov-approach-paperback-softback-9781611974577","title":"Barriers and Transport in Unsteady Flows – A Melnikov Approach; A Melnikov Approach (Paperback \/ softback) 9781611974577","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBarriers and Transport in Unsteady Flows – A Melnikov Approach\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Melnikov Approach\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis extensive introduction specifically elucidates the difficulties of when flows are unsteady, and shows relevance in geophysics and microfluidics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSanjeeva Balasuriya (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611974577\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 December 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e280 pages\u003cbr\u003e26 x 17.8 x 1.7 cm, 0.606 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eFluids that mix at geophysical or microscales tend to form well-mixed areas and regions of coherent blobs. The Antarctic circumpolar vortex, which mostly retains its structure while moving unsteadily in the atmosphere, is an example. How do such structures exchange fluid with their surroundings? What is the impact on global mixing? What is the 'boundary' of the structure, and how does it move? Can these questions be answered from time-varying observational data? This book addresses these issues from the perspective of the differential equations that must be obeyed by fluid particles. In these terms, identification of the boundaries of coherent structures (i.e. 'flow barriers'), quantification of transport across them, control of the locations of these barriers, and optimization of transport across them are developed using a rigorous mathematical framework. The concepts are illustrated with an array of theoretical and applied examples that arise from oceanography and microfluidics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of figures\u003cbr\u003e Preface\u003cbr\u003e 1. Unsteady (nonautonomous) flows\u003cbr\u003e 2. Melnikov theory for stable and unstable manifolds\u003cbr\u003e 3. Quantifying transport flux across unsteady flow barriers\u003cbr\u003e 4. Optimizing transport across flow barriers\u003cbr\u003e 5. Controlling unsteady flow barriers\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52446331699480,"sku":"9781611974577","price":58.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611974577i.jpg?v=1785111093","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/barriers-and-transport-in-unsteady-flows-a-melnikov-approach-a-melnikov-approach-paperback-softback-9781611974577","provider":"Freshly Printed Books","version":"1.0","type":"link"}