By Clement Kleinstreuer
Requiring in basic terms an introductory historical past in continuum mechanics, together with thermodynamics, fluid mechanics, and strong mechanics, Biofluid Dynamics: ideas and chosen functions comprises overview, method, and alertness chapters to construct an effective realizing of scientific implants and units. for extra information, it contains a thesaurus of organic phrases, many figures illustrating theoretical ideas, a number of solved pattern difficulties, and mathematical appendices. The textual content is aimed toward seniors and first-year graduate scholars in engineering and physics in addition to pros in drugs and clinical implant/device industries. it may be used as a first-rate choice for a finished path or for a two-course sequence.
The e-book has major components: thought, comprising the 1st chapters; and purposes, constituting the rest of the booklet. particularly, the writer experiences the basics of actual and similar organic shipping phenomena, reminiscent of mass, momentum, and warmth move in biomedical structures, and highlights complementary issues comparable to two-phase movement, biomechanics, and fluid-structure interplay. appendices summarize wanted parts of engineering arithmetic and CFD software program purposes, and those also are present in the 5th bankruptcy. the applying half, in kind of undertaking analyses, makes a speciality of the cardiovascular approach with universal arterial ailments, organ platforms, exact drug supply, and stent-graft implants.
Armed with Biofluid Dynamics, scholars should be able to resolve uncomplicated biofluids-related difficulties, achieve new actual perception, and research biofluid dynamics points of biomedical platforms
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Additional info for Biofluid Dynamics: Principles and Selected Applications
For any coordinate system, rr r the stress vector τ relates to the symmetric second-order tensor T as rr rr r τ = nˆ ⋅ T = T ⋅ nˆ Chapter I: Elements of Continuum Mechanics 31 where nˆ is the normal (unit) vector. , T ij = T ji , an infinitesimal fluid element ( ∆∀ → 0 ) would spin at r ω → ∞ . , fluid statics and inviscid flow) and τ ij is the deviatoric part for which a constitutive equation has to be found. , internal friction. This insight leads for fluids to the postulate τ ij = fct ε ij ( ) ( ) 1 v i , j + v j ,i is the rate-of-deformation tensor.
4, where rA = ro + ∆r . 5) Particle A y r r v A (rA , t ) r ro r rA (t o + ∆t ) x z Fig. 4 Incremental fluid particle motion. Now, the material-point concept is extended to a material volume with constant identifiable mass, forming a “closed system” that moves and deforms with the flow but no mass crosses the material volume surface ever. Again, the system is tracked through space and as time expires, it is of interest to know what the changes in system mass, momentum, and energy are. This can be expressed in terms of the system’s extensive Chapter I: Elements of Continuum Mechanics 21 r property N s which is either mass m , momentum mv , or energy E.
Diffusion across a membrane. Known as Brownian motion, molecules in gases as well as dissolved molecules and ions in a liquid (solvent) are moving constantly around in a random fashion, as a result of their thermal energy. , net diffusion, along the concentration gradient until all differences are eliminated (see Fig. 4a). , high entropy) with uniform species concentration throughout the solution. , sodium Na+ and potassium K+) cannot permeate the membrane and hence need carrier proteins and ion channels formed by integral proteins, respectively, to migrate across the cell membrane.