Abstract
In this chapter, we continue the study of kinematics by considering in more detail the motion of fluid parcels, by deriving expressions for the areal, volumetric, and mass flow rates across lines and surfaces drawn in a fluid, and by developing numerical methods for evaluating kinematic variables of interest in terms of derivatives and integrals of the velocity field. Mass conservation and physical conditions imposed at boundaries introduce mathematical constraints that motivate the description of a flow in terms of ancillary functions that expedite the mathematical analysis and considerably simplify the numerical computation.
Access provided by CONRICYT-eBooks. Download to read the full chapter text
Chapter PDF
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Science + Business Media LLC
About this chapter
Cite this chapter
Pozrikidis, C. (2017). More on kinematics. In: Fluid Dynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7991-9_2
Download citation
DOI: https://doi.org/10.1007/978-1-4899-7991-9_2
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-7990-2
Online ISBN: 978-1-4899-7991-9
eBook Packages: EngineeringEngineering (R0)