By Jean Berthier
The applying of microfluidics to biotechnology is an exhilarating new region that has already began to revolutionize how researchers examine and manage macromolecules like DNA, proteins and cells in vitro and inside of dwelling organisms. Now in a newly revised and accelerated moment variation, the Artech residence bestseller, "Microfluidics for Biotechnology" brings execs and scholars to the innovative of this burgeoning box. that includes various updates and together with 3 totally new chapters, this ebook presents a close examine the mechanical habit of the differing kinds of micro/nano debris and macromolecules which are utilized in biotechnology. Engineers and laboratory researchers concerned with the belief and layout of bio-tech microdevices, in addition to graduate and post-graduate scholars in comparable classes.
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Additional resources for Microfluidics for Biotechnology, Second Edition
We will see in the next section that for very small Reynolds numbers, the NS equations may be simplified and are reduced to the Stokes approximation. 3 The Stokes Equation For a stationary flow, at very low velocities, inertial forces become very small compared to the viscous forces. 11) may be neglected. 13 Microflow in a capillary with many exits. , the flow tube exiting at a given outlet can be pinpointed at the entrance). 21) where we have used the notation ∆ = ∇ 2 for the Laplacian operator.
49 Sketch of a spherical interface separating two fluids. The pressure difference between the convex region and the outside region is P1 – P0 and is given by the Laplace law. More details on the Laplace law will be given in the next chapter dedicated to microdrops. 73). 76) Note that in our convention the pressure drop is always taken following the fluid flow. 51. If θa is larger than π/2, there is a positive pressure drop associated with the advancing interface. 51(b)]. 50 Schematic view of the meniscus in a cylindrical capillary tube.
We will not deal here with the finite element method and its application to microfluidics; this would be a book by itself and some aspects are already detailed in the literature . However, we present the lumped parameters model, which is a simplified calculation method and gives very interesting and accessible results in some cases. For complex hydraulic circuits, including many different parts having different functions, modeling with Finite Elements numerical software can quickly become impossible, because too many nodes are required and the capacity of the computer is exceeded.