Work

A note about convected time derivatives for flows of complex fluids

Year: 2023

Type: article

Abstract: We present a direct derivation of the typical time derivatives used in a continuum description of complex fluid flows, harnessing the principles of the kinematics of line elements. The evolution of the microstructural conformation tensor in a flow and the physical interpretation of different derivatives then follow naturally.

Source: Soft Matter

DOI: 10.1039/d3sm00497j

Authors: Howard A. Stone, Michael J. Shelley, Evgeniy Boyko

Institutions: Princeton University, Courant Institute of Mathematical Sciences, Simons Foundation, Flatiron Institute, New York University, Technion – Israel Institute of Technology

Language: English

Topic: Rheology and Fluid Dynamics Studies

Subfield: Fluid Flow and Transfer Processes

Field: Chemical Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, United States - Israel Binational Science Foundation, Purdue University, Princeton University, Division of Materials Research

Awards: G1746067696, G2696751721, NSF-BSF: Explaining the Mismatch of Experiments and Simulations for Viscoelastic Flows, G6536552022, Princeton Center for Complex Materials, Collaborative Research: Multiscale engineering of active stress in biomaterials, G889516391

OpenAlex ID: W4383187432

FWCI: 1.936

Cites: 34

Cited by: 18

Related to: 10