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

By Ashim Datta, Vineet Rakesh

Prepared round challenge fixing, this e-book lightly introduces the reader to computational simulation of biomedical delivery procedures, bridging basic thought with real-world purposes. utilizing this e-book the reader will achieve an entire origin to the topic, beginning with challenge simplification, enforcing it in software program, via to studying the consequences, validation, and optimization. Ten case stories, targeting rising parts equivalent to thermal remedy and drug supply, with effortless to persist with step by step directions, offer ready-to-use templates for extra functions. resolution strategy utilizing the generally used instrument COMSOL Multiphysics is defined intimately; invaluable biomedical estate information and correlations are incorporated; and heritage concept details is given on the finish of the e-book for simple reference. a mix of brief and prolonged workouts make this ebook an entire direction package deal for undergraduate and starting graduate scholars in biomedical and biochemical engineering curricula, in addition to a self-study consultant.

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Extra info for An Introduction to Modeling of Transport Processes: Applications to Biomedical Systems

Example text

It can vary spatially. For example, the initial condition in a drug delivery problem may involve some previous presence of the drug that varies with position. In a heat transfer problem, initially, the material may not be at uniform temperature, but exhibit spatially varying temperatures. 18 Schematic showing two possible ways (either as surface flux or as source term) of implementing radiative energy incident at a surface; depending on the penetration depth of the radiation into the material.

Similarly for concentration gradients. In some very special cases, this term may be ignored, such as: (1) uniform and rapid heat generation in a heating situation where the boundaries are insulating, so a temperature gradient does not develop. In mass transfer such a situation can be a uniform chemical reaction that generates or depletes species, with boundaries impermeable; (2) when diffusion is negligible, as for a large species such as a bacterium; (3) when the equation is used only as an analog and there is no real species to diffuse.

Generally speaking, the larger the computational domain, the more computation is required. Thus, deciding on the computational domain is a very critical step in problem formulation. Although today’s numerical methods can handle various shapes and sizes, and computers have significant speed and memory, prudent choices must be made in simplifying the actual geometry; otherwise meshing can be difficult or we can run into cpu speed and/or memory limitations. 6. Depending on the geometry chosen, the amount of computation increases dramatically, but the question we have to answer is: are we learning anything new as we move from 1D to 3D?

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