Mathematical Modeling for Complex Fluids and Flows provides researchers
and engineering practitioners encountering fluid flows with
state-of-the-art knowledge in continuum concepts and associated fluid
dynamics. In doing so it supplies the means to design mathematical
models of these flows that adequately express the engineering physics
involved. It exploits the implicit link between the turbulent flow of
classical Newtonian fluids and the laminar and turbulent flow of
non-Newtonian fluids such as those required in food processing and
polymeric flows.
The book develops a descriptive mathematical model articulated through
continuum mechanics concepts for these non-Newtonian, viscoelastic
fluids and turbulent flows. Each complex fluid and flow is examined in
this continuum context as well as in combination with the turbulent flow
of viscoelastic fluids. Some details are also explored via kinetic
theory, especially viscoelastic fluids and their treatment with the
Boltzmann equation. Both solution and modeling strategies for turbulent
flows are laid out using continuum concepts, including a description of
constructing polynomial representations and accounting for non-inertial
and curvature effects.
Ranging from fundamental concepts to practical methodology, and
including discussion of emerging technologies, this book is ideal for
those requiring a single-source assessment of current practice in this
intricate yet vital field.
