NDLI: The Equation of Motion and Energy Equation for Particles: A Historical Perspective (Keynote)

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Efstathios, E. Michaelides
Copyright Year	2003
Abstract	Energy and momentum exchange between spherical particles and a fluid is a fundamental problem that has excited the intellectual curiosity of many scientists for more than two centuries. The development of the energy equation of spherical particles in a fluid can be traced back to the work of Laplace and Fourier that appeared early in the 19th century. It is now little known that Peclet formulated the no-slip condition at a solid boundary, by observing the transfer of heat, approximately ten years before the concept of viscosity was conceived. Towards the middle of the 19th century Poison derived the hydrodynamic force on a sphere in an inviscid fluid and a few years later, Stokes formulated what is now known “the Stokes drag” for the steady-state hydrodynamic force acting on a spherical particle in a viscous fluid. Boussinesq and Basset developed a form for the transient equation of motion of the particles with very low inertia towards the end of the 19th century. The mathematical advances of the early 20th century are reflected in developments in mechanics and on the equation of motion of particles. Oseen and Faxen used asymptotic methods to derive improved our knowledge on the behavior of particles with inertia and in close proximity to boundaries. Experimentation contributed very useful correlations on the hydrodynamic force and the heat transfer from particles. The experimentally derived data helped also in the development of semiempirical equations for the transient hydrodynamic force. Regular and singular perturbation methods have been used more recently to derive expressions for the transient hydrodynamic force and the heat transfer from particles during time-dependent processes, both under creeping flow conditions and at low Reynolds or Peclet numbers. The recent advances on computational methods and the exponential increase in computer power enable us to simulate the motion and energy exchange of groups of particles and complex particle interactions. This presentation gives a historical perspective on the development of our knowledge on particle motion and heat transfer inside a viscous or conducting fluid. Emphasis is given on the exposition of the lesser-known works of the 19th century that have placed the foundation for many concepts and methods that are still used today. The presentation concludes with the most recent contributions of the numerical studies and a short exposition of the voids in our knowledge on energy and momentum exchange processes between particles and a fluid.
Sponsorship	Fluids Engineering Division
Starting Page	349
Ending Page	349
Page Count	1
File Format	PDF
ISBN	0791836967
DOI	10.1115/FEDSM2003-45711
e-ISBN	0791836738
Volume Number	Volume 1: Fora, Parts A, B, C, and D
Conference Proceedings	ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference
Language	English
Publisher Date	2003-07-06
Publisher Place	Honolulu, Hawaii, USA
Access Restriction	Open
Subject Keyword	Computers Viscosity Computational methods Inertia (mechanics) Creeping flow Momentum Fluid-dynamic forces Drag (fluid dynamics) Equations of motion Steady state Transients (dynamics) Fluids Heat Particulate matter Heat transfer
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Hydrodynamic Force and Heat/Mass Transfer From Particles, Bubbles, and Drops—The Freeman Scholar Lecture

Simulation of Particulate Flows With the Force-Coupling Method (Keynote Paper)

Interactions of Flow Structure With Nano- and Micro-Particles in Turbulent Channel Flows

Motion of a Deformed Sphere With Slip in Creeping Flows

Dynamics of a Small Spherical Particle in Steady Two-Dimensional Vortex Flows

Theoretical Parameter Study of Aerodynamic Vectoring Particle Sorting

Improved Flow Modeling in Transient Reactor Safety Analysis Computer Codes

Flow Inertia and Heat Transfer in Suddenly Expanding Annular Shear-Thinning Flows

Numerical Investigation of Fiber Flocculation in the Air Flow of an Asymmetric Diffuser

The Equation of Motion and Energy Equation for Particles: A Historical Perspective (Keynote)

Similar Documents

Hydrodynamic Force and Heat/Mass Transfer From Particles, Bubbles, and Drops—The Freeman Scholar Lecture

Simulation of Particulate Flows With the Force-Coupling Method (Keynote Paper)

Interactions of Flow Structure With Nano- and Micro-Particles in Turbulent Channel Flows

Motion of a Deformed Sphere With Slip in Creeping Flows

Dynamics of a Small Spherical Particle in Steady Two-Dimensional Vortex Flows

Theoretical Parameter Study of Aerodynamic Vectoring Particle Sorting

Improved Flow Modeling in Transient Reactor Safety Analysis Computer Codes

Flow Inertia and Heat Transfer in Suddenly Expanding Annular Shear-Thinning Flows

Numerical Investigation of Fiber Flocculation in the Air Flow of an Asymmetric Diffuser

The Equation of Motion and Energy Equation for Particles: A Historical Perspective (Keynote)