Added Mass and Vortical Impulse: Theory and Experiment

Simple item page
dc.contributor.advisorWood, David H.
dc.contributor.advisorMorton, Chris R.
dc.contributor.authorLimacher, Eric John
dc.contributor.committeememberJohansen, Craig T.
dc.contributor.committeememberMartinuzzi, Robert John
dc.contributor.committeememberBates, Larry M.
dc.contributor.committeememberSmits, Lex
dc.date2019-06
dc.date.accessioned2019-01-16T20:52:46Z
dc.date.available2019-01-16T20:52:46Z
dc.date.issued2019-01-10
dc.description.abstractThe classical decomposition of aerodynamic force into added-mass and circulatory components is derived under the assumption of inviscid flow. In the present thesis, this decomposition is shown to be valid for viscous flows. The classical added-mass force, derived using (acyclic) potential flow theory, is superimposable onto the circulatory force regardless of the presence of a vortical wake. This generalized added-mass and circulatory (GAMC) force decomposition is derived from impulse theory using a Helmholtz decomposition of the velocity field, and is valid for rigid bodies of any shape in unbounded incompressible fluid domains. Two supporting theoretical contributions were made in the course of the derivation, and these have been referred to as the conservation of image-vorticity impulse and the invariance of total vortical impulse to infinity-preserving conformal transformations. The practical utility of the GAMC formulation was investigated by applying it to a numerical simulation (generated by Wang and Eldredge (2013)) of the flow around a pitching plate in a steady free-stream flow. The calculated forces show fairly good agreement with the reported forces, although minor discrepancies suggest further work to quantify errors due to discretization. The GAMC formulation was then applied to particle image velocimetry (PIV) data to estimate force on a linearly accelerating cylinder in quiescent fluid. The resulting estimates capture the trend of the measured force well, but consistent underestimation of 10% to 20% was observed. It is speculated that the underestimation could be a failure to resolve the viscous skin friction due to spatial resolution limitations, and this possibility merits further study. In both the numerical and experimental validations, the GAMC formulation was validated alongside a common expression referred to as the standard impulse formulation (SIF). The inclusion of an image-vorticity impulse term in the GAMC formulation, contrary to the SIF, causes it to be less sensitive to random errors in the acquired velocity field and more tolerant to the omission of near-body vorticity data. These features of the GAMC formulation make it an attractive option for application to PIV studies in which near-body data acquisition is challenging.en_US
dc.identifier.citationLimacher, E. J. (2019). Added Mass and Vortical Impulse: Theory and Experiment (Doctoral thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/35733
dc.identifier.urihttp://hdl.handle.net/1880/109472
dc.language.isoenen_US
dc.publisher.facultySchulich School of Engineeringen_US
dc.publisher.institutionUniversity of Calgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.en_US
dc.subjectfluid mechanicsen_US
dc.subjectvortex dynamicsen_US
dc.subjectparticle image velocimetryen_US
dc.subject.classificationFluid and Plasmaen_US
dc.subject.classificationApplied Mechanicsen_US
dc.subject.classificationEngineeringen_US
dc.subject.classificationEngineering--Mechanicalen_US
dc.titleAdded Mass and Vortical Impulse: Theory and Experimenten_US
dc.typedoctoral thesisen_US
thesis.degree.disciplineEngineering – Mechanical & Manufacturingen_US
thesis.degree.grantorUniversity of Calgaryen_US
thesis.degree.nameDoctor of Philosophy (PhD)en_US
ucalgary.item.requestcopytrue
Files
Original bundle
Now showing 1 - 3 of 3
Thumbnail Image
Name:
ucalgary_2019_limacher_eric.pdf
Size:
15.78 MB
Format:
Adobe Portable Document Format
Description:
thesis
Download
Thumbnail Image
Name:
ucalgary_2019_limacher_eric_videos.zip
Size:
8.76 MB
Format:
Zip files based on Chrome
Description:
supplementary videos
Download
Thumbnail Image
Name:
ucalgary_2019_limacher_eric_matlabcode.zip
Size:
21.1 KB
Format:
Zip files based on Chrome
Description:
MATLAB code for force data acquisition
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.74 KB
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Open Theses and Dissertations