Application of nonlinear systems in nanomechanics and nanofluids: analytical methods and applications

With Application of Nonlinear Systems in Nanomechanics and Nanofluids the reader gains a deep and practice-oriented understanding of nonlinear systems within areas of nanotechnology application as well as the necessary knowledge enabling the handling of such systems. The book helps readers understand relevant methods and techniques for solving nonlinear problems, and is an invaluable reference for researchers, professionals and PhD students interested in research areas and industries where nanofluidics and dynamic nano-mechanical systems are studied or applied. The book is useful in areas su

Dynamics and vibrations: progress in nonlinear analysis

Dynamical and vibratory systems are basically an application of mathematics and applied sciences to the solution of real world problems. Before being able to solve real world problems, it is necessary to carefully study dynamical and vibratory systems and solve all available problems in case of linear and nonlinear equations using analytical and numerical methods. It is of great importance to study nonlinearity in dynamics and vibration; because almost all applied processes act nonlinearly, and on the other hand, nonlinear analysis of complex systems is one of the most important and complicated tasks, especially in engineering and applied sciences problems. There are probably a handful of books on nonlinear dynamics and vibrations analysis. Some of these books are written at a fundamental level that may not meet ambitious engineering program requirements. Others are specialized in certain fields of oscillatory systems, including modeling and simulations. In this book, we attempt to strike a balance between theory and practice, fundamentals and advanced subjects, and generality and specialization. None of the books in this area have completely studied and analyzed nonlinear equation in dynamical and vibratory systems using the latest analytical and numerical methods, so that the user can solve the problems without the need of studying too many different references. Thereby in this book, by the use of the latest analytic, numeric laboratorial methods and using more than 300 references like books, papers and the researches done by the authors and by considering almost all possible processes and situation, new theories has been proposed to encounter applied problems in engineering and applied sciences. In this way, the user (bachelor’s, master’s and PhD students, university teachers and even in research centers in different fields of mechanical, civil, aerospace, electrical, chemical, applied mathematics, physics, and etc.) can encounter such systems confidently. In the different chapters of the book, not only are the linear and especially nonlinear problems with oscillatory form broadly discussed, but also applied examples are practically solved by the proposed methodology

External magnetic field effects on hydrothermal treatment of nanofluid : numerical and analytical studies /

AnnotationOnline resource; title from PDF title page (EBSCO, viewed March 17, 2016).Includes bibliographical references and index.Cover; Title Page; Copyright Page; Contents; List of Figures; List of Tables; Preface; Nomenclature; Chapter 1 -- Magnetohydrodynamic and ferrohydrodynamic; 1.1 -- Magnetohydrodynamic; 1.1.1 -- Definition; 1.1.2 -- Mathematical model; 1.1.2.1 -- Lorentz force law; 1.1.2.2 -- Faraday's law; 1.1.2.3 -- Maxwell's equations; 1.1.2.4 -- The Navier-Stokes equation; 1.1.2.5 -- Ohm's law; 1.1.3 -- Magnetohydrodynamic approximation; 1.1.4 -- The magnetic induction equation; 1.1.5 -- Mass continuity; 1.1.6 -- Summary for incompressible fluid; 1.2 -- Ferrohydrodynamic; 1.2.1 -- Definition; 1.2.2 -- Mathematical model.1.2.3 -- Magnetization equations1.2.4 -- Magnetization equations (saturation model, equilibrium model, magnetic viscosity model); 1.2.4.1 -- Saturation model; 1.2.4.2 -- Equilibrium model; 1.2.4.3 -- Magnetic viscosity model; 1.3 -- Nanofluid; 1.3.1 -- Definition; 1.3.2 -- Model description; 1.3.2.1 -- Single-phase model; 1.3.2.2 -- Two-phase model; 1.3.3 -- Physical properties of the nanofluid for the single-phase model; 1.3.3.1 -- Density; 1.3.3.2 -- Specific heat capacity; 1.3.3.3 -- Thermal expansion coefficient; 1.3.3.4 -- Electrical conductivity; 1.3.3.5 -- Dynamic viscosity.1.3.3.6 -- Thermal conductivity1.4 -- Magnetohydrodynamic nanofluid flow and heat transfer; 1.4.1 -- Mathematical modeling for the single-phase model; 1.4.1.1 -- Natural convection; 1.4.1.2 -- Mixed convection; 1.4.2 -- Mathematical modeling for the two-phase model; 1.4.2.1 -- Natural convection; 1.4.2.2 -- Mixed convection; 1.5 -- Ferrohydrodynamic nanofluid flow and heat transfer; 1.5.1 -- Mathematical modeling for the single-phase model; 1.5.1.1 -- Natural convection; 1.5.1.2 -- Mixed convection; 1.5.2 -- Mathematical modeling for two-phase model; 1.5.2.1 -- Natural convection.1.5.2.2 -- Mixed convection1.6 -- Magnetic field-dependent viscosity; 1.6.1 -- Mathematical modeling for the single-phase model; 1.6.1.1 -- Natural convection; 1.6.1.2 -- Mixed convection; 1.6.2 -- Mathematical modeling for the two-phase model; 1.6.2.1 -- Natural convection; 1.6.2.2 -- Mixed convection; References; Chapter 2 -- The control volume finite element method: application for magnetohydrodynamic nanofluid hydrothermal behavior; 2.1 -- Introduction; 2.2 -- Basic idea of the control volume finite element method; 2.3 -- Implementation of source terms and boundary conditions.2.4 -- CVFEM for steady two-dimensional pure diffusion and advection-diffusion2.4.1 -- Steady two-dimensional pure diffusion; 2.4.2 -- Steady two-dimensional advection-diffusion; 2.5 -- Application of CVFEM for nanofluid hydrothermal behavior in the presence of a magnetic field; 2.5.1 -- Validation of this code; 2.5.2 -- Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of a ... ; 2.5.2.1 -- Problem definition; 2.5.2.2 -- Effects of active parameters.2.5.3 -- Effect of a non-uniform magnetic field on the forced convection heat transfer of Fe3O4-water nanofluid.AnnotationElsevie

Evaluation of electro-osmotic flow in a nanochannel via semi-analytical method

In this paper, equations due to anion and cation distributions, electrical potential and shear stress profiles in a nanochannel are formed for 1-D electro-osmotic flow, and solved by homotopy perturbation method. Results are compared with numerical solutions