This book focuses on the geometry creation techniques for use in finite element analysis. Examples are provided as a sequence of fin designs with progressively increasing complexity. A fin was selected as it is a feature widely employed for thermal management. As the content progresses, the reader learns to create or import a geometry into a FEM tool using COMSOL Multiphysics®. The fundamentals may also be applied to other commercial packages such as ANSYS® or AbaqusTM. The content can be utilized in a variety of engineering disciplines including mechanical, aerospace, biomedical, chemical, civil, and electrical. The book provides an overview of the tools available to create and interact with the geometry. It also takes a broader look on the world of geometry, showing how geometry is a fundamental part of nature and how it is interconnected with the world around us. Features: Includes example models that enable the reader to implement conceptual material in practical scenarios with broad industrial applications Provides geometry modeling examples created with built in features of COMSOL Multiphysics® v. 5.4 or imported from other dedicated CAD tools Presents meshing examples and provides practical advice on mesh generation Includes companion files with models and custom applications created with COMSOL Multiphysics® Application Builder.

Finite element methods for approximating partial differential equations that arise in science and engineering analysis find widespread application. Numerical analysis tools make the solutions of coupled physics, mechanics, chemistry, and even biology accessible to the novice modeler. Nevertheless, modelers must be aware of the limitations and difficulties in developing numerical models that faithfully represent the system they are modeling.This textbook introduces the intellectual framework for modeling with Comsol Multiphysics, a package which has unique features in representing multiply linked domains with complex geometry, highly coupled and nonlinear equation systems, and arbitrarily complicated boundary, auxiliary, and initial conditions. But with this modeling power comes great opportunities and great perils.Progressively, in the first part of the book the novice modeler develops an understanding of how to build up complicated models piecemeal and test them modularly. The second part of the book introduces advanced analysis techniques. The final part of the book deals with case studies in a broad range of application areas including nonlinear pattern formation, thin film dynamics and heterogeneous catalysis, composite and effective media for heat, mass, conductivity, and dispersion, population balances, tomography, multiphase flow, electrokinetic, microfluidic networks, plasma dynamics, and corrosion chemistry.As a revision of Process Modeling and Simulation with Finite Element Methods, this book uses the very latest features of Comsol Multiphysics. There are new case studies on multiphase flow with phase change, plasma dynamics, electromagnetohydrodynamics, microfluidic mixing, and corrosion. In addition, major improvements to the level set method for multiphase flow to ensure phase conservation is introduced.

This book provides all the essential and best elements of Kidger's many courses taught worldwide on lens and optical design. It is written in a direct style that is compact, logical, and to the point--a tutorial in the best sense of the word. "I read my copy late last year and read it straight through, cover to cover. In fact, I read it no less than three times. Its elegant expositions, valuable insights, and up-front espousal of pre-design theory make it an outstanding work. It's in the same league with Conrady and Kingslake." Warren Smith.

Fins have been used historically as reliable design features for thermal management, which continues to be an important problem in engineering today. This book develops heat transfer models for progressively complex fin designs. Mathematicians, engineers, and analysts may equally benefit from the content as it provides the reader with numerical and analytical tools to approach general and thermal management heat transfer problems. The main focus is on the COMSOL® Multiphysics Heat Transfer module; however, the fundamentals may be applied to other commercial packages such as ANSYS and Abaqus. The content can be utilized in a variety of engineering disciplines including mechanical, aerospace, biomedical, chemical, civil, and electrical, etc. Features: +Includes numerous example models that enable the reader to implement conceptual material in practical scenarios with broad industrial applications +Uses COMSOL Multiphysics® version 5.3 in combination with the Heat Transfer Module to set up and carry out the numerical analysis for the models presented in the book +Presents mathematical methods related to the problems +Includes a companion disc with models and custom apps created with COMSOL Application Builder (available by emailing info @ merclearning.com with proof of purchase if e-version)

Multiphysics Modeling Using COMSOL? rapidly introduces the senior level undergraduate, graduate or professional scientist or engineer to the art and science of computerized modeling for physical systems and devices. It offers a step-by-step modeling methodology through examples that are linked to the Fundamental Laws of Physics through a First Principles Analysis approach. The text explores a breadth of multiphysics models in coordinate systems that range from 1D to 3D and introduces the readers to the numerical analysis modeling techniques employed in the COMSOL? Multiphysics? software. After readers have built and run the examples, they will have a much firmer understanding of the concepts, skills, and benefits acquired from the use of computerized modeling techniques to solve their current technological problems and to explore new areas of application for their particular technological areas of interest.

A rapid growth in global industrialization and population has triggered intense environmental pollution that has led to a water crisis, resulting in the decay in the quality of human life and economic losses. Novel water purification techniques are expected to alleviate this challenge. Recently, various water purification techniques, along with different computational techniques, have been developed. For instance, water purification techniques, such as electromagnetic water purification, solute-surface interactions in water, use of micro-magnetofluidic devices, UV-led water purification, and use of membranes can be thoroughly investigated by using a range of computation techniques, such as molecular dynamics, the lattice Boltzmann method, and the Navier-Stokes method-based solver. Advanced Computational Approaches for Water Treatment: Applications in Food and Chemical Engineering, presents these different numerical techniques and traditional modeling and simulation approaches to elaborate on and explain the various water purification techniques. Features: Serves as a dedicated reference for this emerging topic Discusses state of the art developments in advanced computational techniques for water purification Brings together diverse experience in this field in one reference text Provides a roadmap for future developments in the area This book is primarily intended for chemical engineers, hydrologists, water resource managers, civil engineers, environmental engineers, food scientists and food engineers interested in understanding the numerical approaches for different water purification techniques, such as membrane, sedimentation, filtration, micromagnetofluidic device, and ozone/UV, among others.

A three-dimensional computational fluid dynamics model of a high temperature polymer electrolyte membrane fuel cell, employing a high temperature stable polybenzimidazole membrane electrode assembly doped with phosphoric acid, was developed and implemented using a commercially available finite element software. Three types of flow-fields were modeled and simulated. Selected simulation results at reference operating conditions were compared to the performance curves and to segmented solid-phase temperature and current density measurements. For the segmented measurements, an inhouse developed prototype cell was designed and manufactured. The segmented cell was successfully operated and the solid-phase temperature and the current density distribution were recorded, evaluated, and discussed. Sequentially scanned segmented electrochemical impedance spectroscopy measurements were performed to qualitatively support the observed trends. These measurements were used to identify and determine the causes of the inhomogeneous current density distributions. An equivalent circuit model was developed, the obtained spectra were analyzed, and the model parameters discussed. This work helps to provide a better understanding of the internal behaviour of a running high temperature polymer electrolyte membrane fuel cell and presents valuable data for modeling and simulation. For large fuel cells and complete fuel cell stacks in particular, well designed anode and cathode inlet and outlet sections are expected to aid in achieving flatter quantities distributions and in preventing hot spots over the membrane electrode assembly area, and to develop proper start-up, shut-down, and tempering concepts.