NDLI: Numerical study on the rotation of an elastic rod in a viscous fluid using an immersed boundary method

Content Provider	Springer Nature Link
Author	Maniyeri, Ranjith Kang, Sangmo
Copyright Year	2012
Abstract	We present a three-dimensional computational model based on an immersed boundary (IB) method to study the hydrodynamic features of a solid flexible cylindrical rod in a viscous fluid driven at one side by a tiny motor. The elastic rod is modelled by a number of circular cross-sections with twelve IB points on each cross-section. Three types of elastic links are created from each IB point to obtain an elastic network model of the rod and the first cross-section is modelled as the motor part. The elastic forces are computed based on an elastic energy approach and the motor forces are obtained from the applied angular frequency of rotation of the motor. The Stokes equations governing the fluid are solved on a staggered Cartesian grid system using the fractional-step based finite-volume method. Numerical simulations are performed to demonstrate the three dynamical stages of rod motion-twirling, whirling and overwhirling for different rotational frequency of the motor. It is revealed that for low rotational frequencies, the rod undergoes stable rigid body motion known as twirling. For high rotational frequencies of the motor, it is observed that the rod initially undergoes whirling motion and attains an unstable helical shape. Further, it is noticed that a discontinuous shape transition occurs for the rod and it folds back on itself. This unstable motion is referred to as overwhirling. It is also found that there exists a critical value of angular frequency of rotation of the motor below which the rod is subjected to twirling motion and above which it undergoes overwhirling motion.
Starting Page	1515
Ending Page	1522
Page Count	8
File Format	PDF
ISSN	1738494X
Journal	Journal of Mechanical Science and Technology
Volume Number	26
Issue Number	5
e-ISSN	19763824
Language	English
Publisher	Korean Society of Mechanical Engineers
Publisher Date	2012-05-20
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Elastic rod motion Immersed boundary method Overwhirling Stokes equations Twirling Industrial and Production Engineering Vibration, Dynamical Systems, Control Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Mechanical Engineering

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

Numerical simulation of fish motion by using lattice Boltzmann-Immersed Boundary Velocity Correction Method

An immersed-boundary method for conjugate heat transfer analysis

A gas-kinetic discontinuous Galerkin method for viscous flow equations

Boundary treatment for the unsteady surface velocity in an immersed boundary method

An immersed-boundary finite-volume method for simulation of heat transfer in complex geometries

Simulations of the Whirling Instability by the Immersed Boundary Method

Application of Immersed Boundary Method for flow over stationary and oscillating cylinders

Effect of a viscous fluid at the end face on the torsional vibration of a rod

Numerical estimation of ion transport and electroosmotic flow around a pair of cylindrical electrodes in a microchannel using immersed boundary method

Numerical study on the rotation of an elastic rod in a viscous fluid using an immersed boundary method

Similar Documents

Numerical simulation of fish motion by using lattice Boltzmann-Immersed Boundary Velocity Correction Method

An immersed-boundary method for conjugate heat transfer analysis

A gas-kinetic discontinuous Galerkin method for viscous flow equations

Boundary treatment for the unsteady surface velocity in an immersed boundary method

An immersed-boundary finite-volume method for simulation of heat transfer in complex geometries

Simulations of the Whirling Instability by the Immersed Boundary Method

Application of Immersed Boundary Method for flow over stationary and oscillating cylinders

Effect of a viscous fluid at the end face on the torsional vibration of a rod

Numerical estimation of ion transport and electroosmotic flow around a pair of cylindrical electrodes in a microchannel using immersed boundary method

Numerical study on the rotation of an elastic rod in a viscous fluid using an immersed boundary method