Microfluidics
Modeling, Mechanics and Mathematics
- 2nd Edition - October 7, 2022
- Imprint: Elsevier
- Author: Bastian E. Rapp
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 4 0 2 2 - 9
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 4 0 2 3 - 6
Microfluidics: Modeling, Mechanics and Mathematics, Second Edition provides a practical, lab-based approach to nano- and microfluidics, including a wealth of practical technique… Read more
Purchase options
Institutional subscription on ScienceDirect
Request a sales quoteMicrofluidics: Modeling, Mechanics and Mathematics, Second Edition provides a practical, lab-based approach to nano- and microfluidics, including a wealth of practical techniques, protocols and experiments ready to be put into practice in both research and industrial settings. This practical approach is ideally suited to researchers and R&D staff in industry. Additionally, the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding. Alongside traditional fluid/transport topics, the book contains a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved.
This fully updated new edition also includes new sections on viscous flows and centrifugal microfluidics, expanding the types of platforms covered to include centrifugal, capillary and electro kinetic platforms.
- Provides a practical guide to the successful design and implementation of nano- and microfluidic processes (e.g., biosensing) and equipment (e.g., biosensors, such as diabetes blood glucose sensors)
- Provides techniques, experiments and protocols that are ready to be put to use in the lab, or in an academic or industry setting
- Presents a collection of 3D-CAD and image files on a companion website
Materials scientists and engineers
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- List of figures
- List of tables
- Foreword to the second edition
- Preface
- List of listings
- List of acronyms
- List of abbreviations
- List of symbols
- List of constants
- List of chemicals
- Conversions
- Part I: Fundamentals
- Chapter 1: Introduction
- Abstract
- 1.1. What is microfluidics
- 1.2. A brief history of microfluidics
- 1.3. Commercial aspects
- 1.4. About this book
- 1.5. Structure of this book
- References
- Chapter 2: Introduction to Maple
- Abstract
- 2.1. Introduction
- 2.2. Elementary Maple commands
- 2.3. The file Core.txt
- 2.4. The file CoreFunctions.txt
- 2.5. The NeptunLib
- 2.6. Summary
- References
- Chapter 3: Engineering mathematics
- Abstract
- 3.1. Differential equations
- 3.2. Important functions
- 3.3. Commonly used tricks
- 3.4. Summary
- References
- Chapter 4: Series
- Abstract
- 4.1. Introduction
- 4.2. Taylor series
- 4.3. Fourier series
- 4.4. Fourier-Bessel series
- 4.5. Conclusion
- References
- Chapter 5: Transforms
- Abstract
- 5.1. Fourier transform
- 5.2. Laplace transform
- 5.3. Summary
- References
- Chapter 6: Thermodynamics
- Abstract
- 6.1. Atomic model
- 6.2. Weights and concentrations
- 6.3. Important terms and concepts in thermodynamics
- 6.4. Ideal gases
- 6.5. Idealized thermodynamic processes
- 6.6. First law of thermodynamics
- 6.7. Second law of thermodynamics
- 6.8. Third law of thermodynamics
- 6.9. Heat and mass transfer
- 6.10. Summary
- References
- Chapter 7: Vector calculus
- Abstract
- 7.1. Scalars and vectors
- 7.2. Important theorems in vector calculus
- 7.3. Coordinate system transformation
- 7.4. Position, velocity and acceleration
- 7.5. Jacobian matrix
- 7.6. Operators transformed into the different coordinate systems
- 7.7. Summary
- References
- Chapter 8: Differential equations
- Abstract
- 8.1. Important differential equations
- 8.2. General solutions to selected ordinary differential equations
- 8.3. General solutions to selected partial differential equations
- References
- Part II: Bulk fluid flows
- Chapter 9: Fluids
- Abstract
- 9.1. Introduction
- 9.2. Solids, liquids and gases at the atomic scale
- 9.3. Control volumes
- 9.4. Fluid properties
- 9.5. Momentum transport
- 9.6. Heat transport
- 9.7. Mass transport
- 9.8. Boundary conditions
- 9.9. Dimensionless numbers
- 9.10. Summary
- References
- Chapter 10: Conservation of mass: the continuity equation
- Abstract
- 10.1. Fluid flow in the bulk
- 10.2. Continuity equation
- 10.3. Integral representation of the flowrate
- 10.4. Mass balance
- 10.5. Derivation using Gauss's theorem
- 10.6. Combined convection and diffusion: the convection-diffusion equation
- 10.7. Summary
- Chapter 11: Conservation of momentum: the Navier-Stokes equation
- Abstract
- 11.1. Introduction
- 11.2. Momentum transfer into and out of a control volume
- 11.3. Momentum by in- and outflowing mass
- 11.4. Momentum by shear forces
- 11.5. Momentum by volume forces
- 11.6. Balance of momentum
- 11.7. Navier-Stokes equation for incompressible Newtonian fluids
- 11.8. Dimensional analysis
- 11.9. Conclusion
- References
- Chapter 12: Conservation of energy: the energy equation and the thermodynamic equation of state
- Abstract
- 12.1. Introduction
- 12.2. Energy transfer by convection
- 12.3. Heat flow by conduction
- 12.4. Work flow by boundary forces
- 12.5. Heat flow by volume effects
- 12.6. Work flow by volume forces
- 12.7. Balance of contributions
- 12.8. Thermodynamic equation of state
- 12.9. Summary
- Chapter 13: Continuity and Navier-Stokes equation in different coordinate systems
- Abstract
- 13.1. Cartesian coordinates
- 13.2. Cylindrical coordinates
- 13.3. Polar coordinates
- 13.4. Spherical coordinates
- 13.5. Summary
- Chapter 14: The circular flow tube
- Abstract
- 14.1. Introduction
- 14.2. Conservation of mass: the continuity equation
- 14.3. Conservation of momentum: the Navier-Stokes equation
- 14.4. Euler equation
- 14.5. Bernoulli equation
- 14.6. Conservation of energy
- 14.7. Deriving the Euler equation by a coordinate system transformation
- 14.8. Summary
- References
- Chapter 15: Analytical solutions to the Navier-Stokes equation
- Abstract
- 15.1. Hydro- and aerostatics
- 15.2. Shear force driven flow: Couette flow
- 15.3. Gravity-driven flow
- 15.4. Pressure-driven flow: Poiseuille flow
- 15.5. Summary
- References
- Chapter 16: Analytical solutions to Poiseuille flow problems in different geometries
- Abstract
- 16.1. Elliptical and circular profiles
- 16.2. Planar infinitesimally extended channel cross-sections
- 16.3. Flows in circular cross-sections: Hagen-Poiseuille flow
- 16.4. Flows in rectangular cross-sections: solution to Poisson and Laplace equations
- 16.5. Summary
- References
- Chapter 17: Hydraulic resistance
- Abstract
- 17.1. Introduction
- 17.2. Viscous dissipation
- 17.3. Hydraulic resistance of important flow channel geometries
- 17.4. Simplification approaches to hydraulic resistances
- 17.5. Equivalent circuit theory
- 17.6. Summary
- References
- Chapter 18: Analytical solutions to transient flow problems
- Abstract
- 18.1. Time-dependent transient effects: acceleration and deceleration
- 18.2. Time-dependent Couette flow
- 18.3. Time-dependent Hagen-Poiseuille flow
- 18.4. Time-dependent flow in rectangular cross-sections
- 18.5. Entrance effects in Hagen-Poiseuille flow
- 18.6. Summary
- Chapter 19: Taylor-Aris dispersion
- Abstract
- 19.1. Dispersion
- 19.2. Convection-diffusion equation for cylindrical cross-sections
- 19.3. Mass concentration function
- 19.4. Convection-diffusion equation
- 19.5. Solving for ρˆ
- 19.6. Solving for ρ‾
- 19.7. Validity of the solution
- 19.8. Example
- 19.9. Summary
- References
- Part III: Fluid surface effects
- Chapter 20: Surface tension
- Abstract
- 20.1. Fluid effects at interfaces
- 20.2. Contact angle measurement
- 20.3. Surfactants
- 20.4. Marangoni effect
- 20.5. Summary
- References
- Chapter 21: Capillarity
- Abstract
- 21.1. Capillary pressure
- 21.2. Capillary length
- 21.3. Meniscus formation
- 21.4. Dynamics in capillary system: Washburn equation
- 21.5. Summary
- References
- Chapter 22: Measuring surface tension and free surface energy
- Abstract
- 22.1. Measuring the surface tension of liquids
- 22.2. Measuring the free surface energy
- 22.3. Summary
- References
- Chapter 23: Plateau-Rayleigh instability
- Abstract
- 23.1. Stability considerations
- 23.2. Fluid jets
- 23.3. Instability
- 23.4. Standing waves on a fluid jet
- 23.5. Characteristic breakup time
- 23.6. Applicability of the Plateau-Rayleigh instability
- 23.7. Summary
- References
- Chapter 24: The shape of drops
- Abstract
- 24.1. Derivation
- 24.2. Bashforth and Adams: curvature expressed as z(x)
- 24.3. Brien, Ben and van den Brule: curvature expressed as function of θ (sessile drops)
- 24.4. del Río and Neumann: curvature expressed as function of s (pendant drop)
- 24.5. Comparison with experimental data
- 24.6. Drops inside of a fluid
- 24.7. Historical development of drop-shape analysis
- 24.8. Summary
- References
- Part IV: Numerics
- Chapter 25: Numerical methods for linear systems of equations
- Abstract
- 25.1. Introduction
- 25.2. Solutions to linear systems of equations
- 25.3. Numerical solutions to linear systems of equations
- 25.4. Summary
- References
- Chapter 26: Numerical solutions to nonlinear systems: Newton's method
- Abstract
- 26.1. Introduction
- 26.2. An example: the LORAN system
- 26.3. Newton's method
- 26.4. A solver implemented in Maple
- 26.5. Summary
- References
- Chapter 27: Numerical methods for solving differential equations
- Abstract
- 27.1. Numerical solutions to ordinary differential equations
- 27.2. Numerical solutions to higher-order ordinary differential equations and systems of coupled ordinary differential equations
- 27.3. Numerical solutions to systems of ordinary differential equations with boundary conditions
- 27.4. Summary
- References
- Chapter 28: Numerical solutions to the Navier-Stokes equation
- Abstract
- 28.1. Solution to the Poisson equation
- 28.2. Solution to the Poisson equation using SOR
- 28.3. Summary
- References
- Chapter 29: Computational fluid dynamics
- Abstract
- 29.1. Introduction
- 29.2. Galerkin method
- 29.3. Summary
- References
- Chapter 30: Finite difference method
- Abstract
- 30.1. Introduction
- 30.2. Advantages and disadvantages
- 30.3. FDM in Microsoft Excel
- 30.4. Summary
- References
- Chapter 31: Finite volume method
- Abstract
- 31.1. Introduction
- 31.2. Conservative form notation
- 31.3. Integral form of the conservative notation
- 31.4. Discretization
- 31.5. Function reconstruction
- 31.6. Example: one-dimensional heat equation
- 31.7. Two-dimensional problems of first order in time and space
- 31.8. Two-dimensional problems of first order in time and second-order in space
- 31.9. Summary
- Chapter 32: Finite element method
- Abstract
- 32.1. Introduction
- 32.2. Discretization
- 32.3. Lagrangian coordinates
- 32.4. Basis functions
- 32.5. One-dimensional example: flow in infinitesimally extended channels
- 32.6. Two-dimensional example: flow in rectangular channels
- 32.7. Summary
- References
- Chapter 33: Numerical solutions to transient flow problems
- Abstract
- 33.1. Introduction
- 33.2. A numerical solver for two-dimensional time-dependent flow problems
- 33.3. A numerical solver for two-dimensional entrance flow problems
- 33.4. Summary
- Chapter 34: Numerical solutions to three-dimensional flow problems
- Abstract
- 34.1. Introduction
- 34.2. Derivation
- 34.3. Implementation of a stationary-flow numerical solver
- 34.4. Usage of the numerical solver
- 34.5. Summary
- References
- Index
- Edition: 2
- Published: October 7, 2022
- No. of pages (Paperback): 848
- No. of pages (eBook): 848
- Imprint: Elsevier
- Language: English
- Paperback ISBN: 9780128240229
- eBook ISBN: 9780128240236
BR
Bastian E. Rapp
Prof. Dr.-Ing. Bastian E. Rapp is a full professor of process technology at the Department of Microsystems Engineering (IMTEK) and the head of the NeptunLab, University of Freiburg, Germany. For his work, he was awarded, among others, the Edison Prize of the General Electric (GE) Foundation, the GMM award, and the Südwestmetall-Förderpreis. In 2019, he received an ERC Consolidator Grant from the European Research Council for his work on tactile displays for the visually impaired. His work has been published in the most important international journals, including Advanced Materials, Angewandte Chemie, Nature, and Science, and has been featured in national and international radio and print media, including the BBC, The New York Times, and the Discovery Channel. In 2021, he was nominated by the German Minister of Research and Education, Anja Karliczek, for the German Future Award of the German President for Technology and Innovation. In 2022, he was nominated for the German Future Award of the German President for Technology and Innovation with his spin-off company Glassomer
for the development of a new generation of techniques for high-resolution structuring of glass. His research focuses on the development of novel materials, processes, and applications in microsystem engineering, life sciences, and biotechnology, as well as instrumental and clinical analytics.
Affiliations and expertise
Head of Group, Institute of Microstructure Technology (IMT), Karlsruhe Institute of Technology (KIT), Karlsruhe, GermanyRead Microfluidics on ScienceDirect