An Introduction to Modeling of Transport Processes: by Ashim Datta, Vineet Rakesh

By Ashim Datta, Vineet Rakesh

Geared up round challenge fixing, this e-book lightly introduces the reader to computational simulation of biomedical delivery tactics, bridging primary concept with real-world purposes. utilizing this publication the reader will achieve a whole starting place to the topic, beginning with challenge simplification, imposing it in software program, via to analyzing the implications, validation, and optimization. Ten case stories, targeting rising parts comparable to thermal treatment and drug supply, with effortless to keep on with step by step directions, supply ready-to-use templates for additional functions. answer procedure utilizing the generally used software COMSOL Multiphysics is defined intimately; invaluable biomedical estate info and correlations are incorporated; and history conception details is given on the finish of the booklet for simple reference. a mix of brief and prolonged routines make this booklet an entire path package deal for undergraduate and starting graduate scholars in biomedical and biochemical engineering curricula, in addition to a self-study advisor.

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1 that we are trying to solve have in them material properties (such as thermal conductivity in the heat equation). , numerical values) for these material properties. 4. Note that not all data are needed in all situations. 4 Material properties needed for modeling. 1) for examples of use. Variable properties, wherever used in case studies, are also noted. Chapter 9 discusses all properties in detail. 1 Questions to ask In the problem formulation stage, while one can proceed assuming that material properties data will have to be found somehow, one can perhaps be a little more sensitive to efforts that are likely to be necessary in finding such data, and make some adjustments at this early stage.

In other words, any boundary condition set on the far end of domain 2 would clearly influence the solution, which should not be the case if the material is very thick. Thus, in a transient problem, a progressively larger computational domain size would be needed as the temperature or concentration front advances. 3 How many dimensions are needed? Of course, all problems are in 3D and we can always attempt to compute them as full 3D, but the increase in complexity due to the additional dimension often increases the user effort as well as computation time disproportionately.

In the case of a complex material, what simplification of the material can we get away with? (2) Can we estimate the property using empirical predictive equations? (3) How accurate must the data be? (4) When accurate property data are not available for a particular material, which is often the case, how do we get useful information from the simulation? These topics are addressed in greater detail in Chapter 9. It is a good idea to review relevant sections of Chapter 9 at this problem formulation stage.

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