{"product_id":"dynamics-of-complex-fluids-youssef-hairch-9786207910908","title":"Dynamics of Complex Fluids","description":"The coupling of the Navier-Stokes equations with the Allen-Cahn model represents a significant advance in the field of fluid mechanics and interface modeling. This development has its roots in the need to better understand and simulate complex multi-phase fluid dynamics. This book (Complex Fluid Dynamics: Approaches with Allen-Cahn and Navier-Stokes) explores the approximation of dynamics between two fluids of different densities and viscosities. It presents a model that couples the Allen-Cahn equation, describing the evolution of a scalar-order parameter, with the time-dependent Navier-Stokes equations governing fluid motion. This coupling involves a surface tension term, which takes into account the energy required to create an interface between phases, proportional to the curvature of the interface, leading to the formation of a dynamic interface. The two-phase Navier-Stokes\/Allen-Cahn equations simulate several fluid flows, using the Allen-Cahn model for diffuse interfaces and the Navier-Stokes equations for fluid dynamics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Youssef Hairch\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 6207910907\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9786207910908\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Our Knowledge Publishing\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/02\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 80\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.28lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.19d","brand":"Youssef Hairch","offers":[{"title":"Paperback","offer_id":46685825728767,"sku":"9786207910908","price":47.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_feba936d-cc1f-4dc9-ad3f-3c29b919d595.jpg?v=1741726885","url":"https:\/\/www.whiterainbookhouse.com\/products\/dynamics-of-complex-fluids-youssef-hairch-9786207910908","provider":"WR Book House","version":"1.0","type":"link"}