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University of Michigan
1.
Savander, Brant Raymond.
Planing hull steady hydrodynamics.
Degree: PhD, Ocean engineering, 1997, University of Michigan
URL: http://hdl.handle.net/2027.42/130352 
► The goal of the research performed in this thesis is to develop a tool based on rational mechanics that will provide insight into the flow…
(more)
▼ The goal of the research performed in this thesis is to develop a tool based on rational mechanics that will provide insight into the flow physics that govern the steady planing of a vessel, and to provide the planing vessel designer with an engineering tool for predicting planing hull lift and drag. The hydrodynamics associated with planing hulls remains a challenging theoretical problem due primarily to the existence of a spray jet at the hull-free surface intersection. Large pressure gradients are experienced in this region due to large flow accelerations associated with the presence of the jet. The large flow accelerations are primarily restricted to the transverse plane. This transverse nature of the flow suggests that the large gradients can be captured approximately in a two dimensional model. Vorus (1996) has developed a free surface impact
theory to be used with
slender body theory (SBT) to predict steady planing hydrodynamics. The model developed in this thesis is generated by first formulating the three dimensional (3D) boundary value problem, and then adding and subtracting the
slender body theory (SBT) formulation. The difference between 3D and SBT represents the three dimensional correction to the
slender body solution. The Vorus (1996) model is extended to allow for incorporation of these additional terms. Since the large gradients are captured in the impact model which is used with SBT, the resulting correction terms are generally well behaved functions that allow for numerical iteration to the convergent solution of the three dimensional problem. Purely computational techniques, such as panel methods, have trouble capturing planing hydrodynamics due to the extremely challenging non-linear physics associated with the spray jet and the fact that the hull wetted surface is not known in advance. This problem becomes further complicated when non-prismatic hull geometry is introduced. The three dimensional iterative approach presented in this work allows for resolution of the spray jet details and determination of the wetted surface for general hull shapes within the context of the solution procedure. A comparative study is carried out illustrating the influence that varying hull geometry has on lift and drag. Numerical results from both the 3D and SBT models are compared with experimental force and pressure data.
Advisors/Committee Members: Vorus, William S. (advisor).
Subjects/Keywords: Hull; Hydrodynamics; Planing; Slender Body Theory; Steady
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APA (6th Edition):
Savander, B. R. (1997). Planing hull steady hydrodynamics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/130352
Chicago Manual of Style (16th Edition):
Savander, Brant Raymond. “Planing hull steady hydrodynamics.” 1997. Doctoral Dissertation, University of Michigan. Accessed January 22, 2021.
http://hdl.handle.net/2027.42/130352.
MLA Handbook (7th Edition):
Savander, Brant Raymond. “Planing hull steady hydrodynamics.” 1997. Web. 22 Jan 2021.
Vancouver:
Savander BR. Planing hull steady hydrodynamics. [Internet] [Doctoral dissertation]. University of Michigan; 1997. [cited 2021 Jan 22].
Available from: http://hdl.handle.net/2027.42/130352.
Council of Science Editors:
Savander BR. Planing hull steady hydrodynamics. [Doctoral Dissertation]. University of Michigan; 1997. Available from: http://hdl.handle.net/2027.42/130352
University of Oxford
2.
Curtis, Mark Peter.
Aspects of low Reynolds number microswimming using singularity methods.
Degree: PhD, 2013, University of Oxford
URL: http://ora.ox.ac.uk/objects/uuid:13dcb39b-f5b7-4d46-92d4-21a9afbecd08
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581348
► Three different models, relating to the study of microswimmers immersed in a low Reynolds number fluid, are presented. The underlying, mathematical concepts employed in each…
(more)
▼ Three different models, relating to the study of microswimmers immersed in a low Reynolds number fluid, are presented. The underlying, mathematical concepts employed in each are developed using singularity methods of Stokes flow. The first topic concerns the motility of an artificial, three-sphere microswimmer with prescribed, non-reciprocal, internal forces. The swimmer progresses through a low Reynolds number, nonlinear, viscoelastic medium. The model developed illustrates that the presence of the viscoelastic rheology, when compared to a Newtonian environment, increases both the net displacement and swimming efficiency of the microswimmer. The second area concerns biological microswimming, modelling a sperm cell with a hyperactive waveform (vigorous, asymmetric beating), bound to the epithelial walls of the female, reproductive tract. Using resistive-force theory, the model concludes that, for certain regions in parameter space, hyperactivated sperm cells can induce mechanical forces that pull the cell away from the wall binding. This appears to occur via the regulation of the beat amplitude, wavenumber and beat asymmetry. The next topic presents a novel generalisation of slender-body theory that is capable of calculating the approximate flow field around a long, thin, slender body with circular cross sections that vary arbitrarily in radius along a curvilinear centre-line. New, permissible, slender-body shapes include a tapered flagellum and those with ribbed, wave-like structures. Finally, the detailed analytics of the generalised, slender-body theory are exploited to develop a numerical implementation capable of simulating a wider range of slender-body geometries compared to previous studies in the field.
Subjects/Keywords: 591.570113; Fluid mechanics (mathematics); Mathematical biology; slender-body theory; viscous fluid; viscoelastic fluid; swimmer; singularities; low Reynolds number
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APA (6th Edition):
Curtis, M. P. (2013). Aspects of low Reynolds number microswimming using singularity methods. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:13dcb39b-f5b7-4d46-92d4-21a9afbecd08 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581348
Chicago Manual of Style (16th Edition):
Curtis, Mark Peter. “Aspects of low Reynolds number microswimming using singularity methods.” 2013. Doctoral Dissertation, University of Oxford. Accessed January 22, 2021.
http://ora.ox.ac.uk/objects/uuid:13dcb39b-f5b7-4d46-92d4-21a9afbecd08 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581348.
MLA Handbook (7th Edition):
Curtis, Mark Peter. “Aspects of low Reynolds number microswimming using singularity methods.” 2013. Web. 22 Jan 2021.
Vancouver:
Curtis MP. Aspects of low Reynolds number microswimming using singularity methods. [Internet] [Doctoral dissertation]. University of Oxford; 2013. [cited 2021 Jan 22].
Available from: http://ora.ox.ac.uk/objects/uuid:13dcb39b-f5b7-4d46-92d4-21a9afbecd08 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581348.
Council of Science Editors:
Curtis MP. Aspects of low Reynolds number microswimming using singularity methods. [Doctoral Dissertation]. University of Oxford; 2013. Available from: http://ora.ox.ac.uk/objects/uuid:13dcb39b-f5b7-4d46-92d4-21a9afbecd08 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581348
University of Illinois – Urbana-Champaign
3.
Manikantan, Harishankar.
Dynamics of single semiflexible filaments in a viscous fluid.
Degree: MS, 0242, 2012, University of Illinois – Urbana-Champaign
URL: http://hdl.handle.net/2142/32000
► Numerous cellular functions rely on semiflexible filaments as structural elements (F-actin, microtubules), locomotive organs (flagella, cilia) or carriers of information (DNA). Flexible and semiflexible polymers…
(more)
▼ Numerous cellular functions rely on semiflexible filaments as structural elements (F-actin, microtubules), locomotive organs (flagella, cilia) or carriers of information (DNA). Flexible and semiflexible polymers are also commonly encountered in technological applications, specifically in chemical engineering and materials sciences. A thorough description of the physics involved can be achieved only through a detailed modeling and understanding of their mechanical properties and dynamics. With recent advances in nanofabrication techniques and experimental capabilities using microfluidic devices, there has been a renewed interest in the dynamics of semiflexible polymers. In this work, we present a detailed and efficient simulation method for solutions of short single semiflexible polymers using
slender body theory in Stokes flow. An algorithm is developed that takes into account the inextensibility and elasticity of the filament, and accounts for hydrodynamic as well as Brownian forces. This is tested against theoretically known and experimentally verified equilibrium properties and scaling laws. We then focus on flow fields commonly observed in microfluidic devices, particularly the dynamics of bio-polymers in linear shear flows and near hyperbolic stagnation points. In linear shear flow, Brownian fluctuations dislodge the filament from an otherwise stable axis resulting in a characteristic tumbling motion. A sub-linear growth of tumbling frequency with shear rate is obtained that matches with experimental observations. Also, interesting non-linear behavior of the filament shape is observed in the case of hyperbolic flow geometries that are prevalent in microfluidic devices used to separate, observe and manipulate single macromolecules. Thermal fluctuations are suppressed by the flow when the filament is aligned with the extensional axis, and this suppression is shown to depend on the rate of extension of the external flow. Similarly, in the compressional regime, filaments undergo a buckling instability similar to Euler buckling of beams, taking on higher mode shapes with increasing flow strengths. Both suppression and buckling are attributed to a competition between tension and elasticity. Our study confirms the existence of this stretch-coil transition, which could also explain certain biophysical aspects of filament rearrangement in streaming and bio-locomotion. A detailed characterization of such behavior pertaining specifically to flow fields commonly seen in microfluidic devices will aid in the design of such devices constructed particularly for trapping, separating and precise control of single polymer molecules. Furthermore, the model developed here can be potentially extended to include interactions and electrokinetic phenomena that may then lead to solving problems in applications like DNA electrophoresis and polymer translocation through pores.
Advisors/Committee Members: Saintillan, David (advisor).
Subjects/Keywords: biophysical fluid dynamics; slender body theory; semiflexible polymer; filament; Stokes flow; buckling instability; elasticity; Brownian force; numerical simulation
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APA ·
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APA (6th Edition):
Manikantan, H. (2012). Dynamics of single semiflexible filaments in a viscous fluid. (Thesis). University of Illinois – Urbana-Champaign. Retrieved from http://hdl.handle.net/2142/32000
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Manikantan, Harishankar. “Dynamics of single semiflexible filaments in a viscous fluid.” 2012. Thesis, University of Illinois – Urbana-Champaign. Accessed January 22, 2021.
http://hdl.handle.net/2142/32000.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Manikantan, Harishankar. “Dynamics of single semiflexible filaments in a viscous fluid.” 2012. Web. 22 Jan 2021.
Vancouver:
Manikantan H. Dynamics of single semiflexible filaments in a viscous fluid. [Internet] [Thesis]. University of Illinois – Urbana-Champaign; 2012. [cited 2021 Jan 22].
Available from: http://hdl.handle.net/2142/32000.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Manikantan H. Dynamics of single semiflexible filaments in a viscous fluid. [Thesis]. University of Illinois – Urbana-Champaign; 2012. Available from: http://hdl.handle.net/2142/32000
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
4.
Kelley, Victoria.
Nonlinear dynamics of filaments in free space and fluids.
Degree: 2016, James Madison University
URL: https://commons.lib.jmu.edu/honors201019/152
► The purpose of this paper is to study a straight rod, held at both ends, with a known twist and tension or compression. We study…
(more)
▼ The purpose of this paper is to study a straight rod, held at both ends, with a known twist and tension or compression. We study the stability of this steady state when the system is dominated either by inertia or drag. In order to do this, we first replicate the work of Goriely and Tabor to look at the case with inertia, without drag. After conducting the analysis for that case, we then apply their framework to perform a linear stability analysis of a model that is without inertia, but with hydrodynamic drag. Our motivation is the study of locomotion of C. elegans and other long,
slender organisms such as bacterial flagella, cilia, and DNA.
Advisors/Committee Members: Eva M. Strawbridge.
Subjects/Keywords: mathematical biology; modeling; linear analysis; slender body; inertia; resistive force theory; Applied Mathematics; Biology; Partial Differential Equations
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APA ·
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APA (6th Edition):
Kelley, V. (2016). Nonlinear dynamics of filaments in free space and fluids. (Masters Thesis). James Madison University. Retrieved from https://commons.lib.jmu.edu/honors201019/152
Chicago Manual of Style (16th Edition):
Kelley, Victoria. “Nonlinear dynamics of filaments in free space and fluids.” 2016. Masters Thesis, James Madison University. Accessed January 22, 2021.
https://commons.lib.jmu.edu/honors201019/152.
MLA Handbook (7th Edition):
Kelley, Victoria. “Nonlinear dynamics of filaments in free space and fluids.” 2016. Web. 22 Jan 2021.
Vancouver:
Kelley V. Nonlinear dynamics of filaments in free space and fluids. [Internet] [Masters thesis]. James Madison University; 2016. [cited 2021 Jan 22].
Available from: https://commons.lib.jmu.edu/honors201019/152.
Council of Science Editors:
Kelley V. Nonlinear dynamics of filaments in free space and fluids. [Masters Thesis]. James Madison University; 2016. Available from: https://commons.lib.jmu.edu/honors201019/152
Missouri University of Science and Technology
5.
Alfi, Mehrdad.
Theoretical analysis of shape separation of particles using flow field-flow fractionation.
Degree: M.S. in Chemical Engineering, Chemical Engineering, Missouri University of Science and Technology
URL: https://scholarsmine.mst.edu/masters_theses/7262
► "Size separation of spherical and rod-like particles in Flow Field-flow Fractionation was investigated theoretically. The effect of cross flow migration and rod orientation was…
(more)
▼ "Size separation of spherical and rod-like particles in Flow Field-flow Fractionation was investigated theoretically. The effect of cross flow migration and rod orientation was also investigated as a new mode of study. It has been shown that the rod local orientation makes different diffusivity values in comparison with spherical particles and helps particle separation. Additionally, a new mechanism of lift-hypelayer mode was used for rod-like particles which can be compared with steric mode of spherical particles. This mechanism is said to be due to hydrodynamic interaction of rod-like particle with wall and with other rods.
As a measure of axial and cross flow velocity, Peclet number was defined in each case with respect to spherical particle or rod-like particle. Based on different Peclet numbers, operations were divided into four different regions each with a dominant mode. Additionally, retention ratio of each particle category was calculated using concentration profile and velocity profile. Summing up all the effects, the conclusion was drawn that according to what size of particle to separate, one should choose proper axial and cross-flow velocity together with proper mode of operation.
Finally, based on theoretical studies, it was concluded that shape separation of rod-like particles is feasible for particles in micro size. However, for smaller particles experimental investigation may be needed." – Abstract, page iv.
Subjects/Keywords: Hydrodynamic interaction; Lift-hyperlayer mode; Particle shape separation; Rodlike particles; Slender body theory; Chemical Engineering
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APA ·
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MLA ·
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Manager
APA (6th Edition):
Alfi, M. (n.d.). Theoretical analysis of shape separation of particles using flow field-flow fractionation. (Masters Thesis). Missouri University of Science and Technology. Retrieved from https://scholarsmine.mst.edu/masters_theses/7262
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Chicago Manual of Style (16th Edition):
Alfi, Mehrdad. “Theoretical analysis of shape separation of particles using flow field-flow fractionation.” Masters Thesis, Missouri University of Science and Technology. Accessed January 22, 2021.
https://scholarsmine.mst.edu/masters_theses/7262.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
MLA Handbook (7th Edition):
Alfi, Mehrdad. “Theoretical analysis of shape separation of particles using flow field-flow fractionation.” Web. 22 Jan 2021.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Vancouver:
Alfi M. Theoretical analysis of shape separation of particles using flow field-flow fractionation. [Internet] [Masters thesis]. Missouri University of Science and Technology; [cited 2021 Jan 22].
Available from: https://scholarsmine.mst.edu/masters_theses/7262.
Note: this citation may be lacking information needed for this citation format:
No year of publication.
Council of Science Editors:
Alfi M. Theoretical analysis of shape separation of particles using flow field-flow fractionation. [Masters Thesis]. Missouri University of Science and Technology; Available from: https://scholarsmine.mst.edu/masters_theses/7262
Note: this citation may be lacking information needed for this citation format:
No year of publication.
6.
Garcia Gonzalez, Jesus.
NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS.
Degree: 2017, University of Manchester
URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:308718
► At low Reynolds number flows, the effect of inertia becomes negligible and the fluid motion is dominated by the effect of viscous forces. Understanding of…
(more)
▼ At low Reynolds number flows, the effect of inertia
becomes negligible and the fluid motion is dominated by the effect
of viscous forces. Understanding of the behaviour of low Reynolds
number flows underpins the prediction of the motion of
microorganisms and particle sedimentation as well as the
development of micro-robots that could potentially swim inside the
human
body to perform targeted drug/cell delivery and non-invasive
microsurgery. The work in this thesis focuses on developing an
understanding in the mathematical analysis of objects moving at low
Reynolds numbers. A boundary element implementation of the Method
of regularized Stokeslets (MRS) is applied to analyse the low
Reynolds number flow field around an object of simple shape (sphere
and cube). It also showed that the results obtained by a boundary
element implementation for an unbounded cube, where singularities
are presented in the corners of the cube, agrees with more complex
solutions methods such as a GBEM and FEM.A methodology for
analysing the effect of walls by locating collocation points on the
surface of the walls and the object is presented. First at all,
this methodology is validated with a boundary element
implementation of the method of images for a sphere at different
locations. Then, the method is extended when more than one wall is
presented. This methodology is applied to predict the velocity
filed of a cube moving in a tow tank at low Reynolds numbers for
two different cases with a supporting rod similar to an
experimental set-up, and without the supporting rod as in the CFD
simulations based on the FVM. The results indicate a good match
between CFD and the MRS, and an excellent approximation between the
MRS and experimental data from PIV measurements.The drag, thrust
and torque generated by helices moving at low Reynolds numbers in
an unbounded medium is analysed by the resistive force
theory, a
slender body theory, and a boundary element method of the MRS. The
results show that the resistive force
theory predict accurately the
drag, thrust and torque of moving helices when the resistive force
coefficients are calculated from a
slender body theory
approximation by calculating independently the resistive force
coefficients for translation and rotation, because it is observed
that the resistive force coefficients depend also of the nature of
motion. Moreover, the thrust generated by helices of different
pitch angles is analysed calculated by a CFD numerical simulation
based on the FVM and a boundary element implementation, an compared
with experimental data. The results also show an excellent
prediction between the boundary element implementation, the CFD
results and the experimental data. Finally, a boundary element
implementation of the MRS is applied to predict swimming of a
biomimetic swimmer that mimics the motion of E.coli bacteria in an
unbounded medium. The results are compared with the propulsive
velocity and induced angular velocity measurement by recording the
motion of the biomimetic swimmer in a square tank. It is…
Advisors/Committee Members: ALONSO RASGADO, TERESA TM, Alonso Rasgado, Teresa, Zhong, Shan.
Subjects/Keywords: Low Reynolds Numbers; Stokes equations; Collocation methods; Method of regularized Stokeslets; Boundary element implementation; Slender Body Theory; Resistive Force Theory; Helical Propulsion; Swimming Propulsion; Biomimetic Swimmer
…resistive force theory, a slender
body theory, and a boundary element method of the MRS. The… …moving helices
when the resistive force coefficients are calculated from a slender body theory… …Slender Body Theory
25
Introduction
Chapter I
Introduction
1.1
Introduction
In fluid… …swim inside the human body to perform targeted drug/cell
delivery and non-invasive… …results show that the
resistive force theory predict accurately the drag, thrust and torque of…
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Garcia Gonzalez, J. (2017). NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:308718
Chicago Manual of Style (16th Edition):
Garcia Gonzalez, Jesus. “NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS.” 2017. Doctoral Dissertation, University of Manchester. Accessed January 22, 2021.
http://www.manchester.ac.uk/escholar/uk-ac-man-scw:308718.
MLA Handbook (7th Edition):
Garcia Gonzalez, Jesus. “NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS.” 2017. Web. 22 Jan 2021.
Vancouver:
Garcia Gonzalez J. NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS. [Internet] [Doctoral dissertation]. University of Manchester; 2017. [cited 2021 Jan 22].
Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:308718.
Council of Science Editors:
Garcia Gonzalez J. NUMERICAL ANALYSIS OF FLUID MOTION AT LOW REYNOLDS
NUMBERS. [Doctoral Dissertation]. University of Manchester; 2017. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:308718
7.
Garcia Gonzalez, Jesus.
Numerical analysis of fluid motion at low Reynolds numbers.
Degree: PhD, 2017, University of Manchester
URL: https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html
;
https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.727987
► At low Reynolds number flows, the effect of inertia becomes negligible and the fluid motion is dominated by the effect of viscous forces. Understanding of…
(more)
▼ At low Reynolds number flows, the effect of inertia becomes negligible and the fluid motion is dominated by the effect of viscous forces. Understanding of the behaviour of low Reynolds number flows underpins the prediction of the motion of microorganisms and particle sedimentation as well as the development of micro-robots that could potentially swim inside the human body to perform targeted drug/cell delivery and non-invasive microsurgery. The work in this thesis focuses on developing an understanding in the mathematical analysis of objects moving at low Reynolds numbers. A boundary element implementation of the Method of regularized Stokeslets (MRS) is applied to analyse the low Reynolds number flow field around an object of simple shape (sphere and cube). It also showed that the results obtained by a boundary element implementation for an unbounded cube, where singularities are presented in the corners of the cube, agrees with more complex solutions methods such as a GBEM and FEM.A methodology for analysing the effect of walls by locating collocation points on the surface of the walls and the object is presented. First at all, this methodology is validated with a boundary element implementation of the method of images for a sphere at different locations. Then, the method is extended when more than one wall is presented. This methodology is applied to predict the velocity filed of a cube moving in a tow tank at low Reynolds numbers for two different cases with a supporting rod similar to an experimental set-up, and without the supporting rod as in the CFD simulations based on the FVM. The results indicate a good match between CFD and the MRS, and an excellent approximation between the MRS and experimental data from PIV measurements. The drag, thrust and torque generated by helices moving at low Reynolds numbers in an unbounded medium is analysed by the resistive force theory, a slender body theory, and a boundary element method of the MRS. The results show that the resistive force theory predict accurately the drag, thrust and torque of moving helices when the resistive force coefficients are calculated from a slender body theory approximation by calculating independently the resistive force coefficients for translation and rotation, because it is observed that the resistive force coefficients depend also of the nature of motion. Moreover, the thrust generated by helices of different pitch angles is analysed calculated by a CFD numerical simulation based on the FVM and a boundary element implementation, an compared with experimental data. The results also show an excellent prediction between the boundary element implementation, the CFD results and the experimental data. Finally, a boundary element implementation of the MRS is applied to predict swimming of a biomimetic swimmer that mimics the motion of E.coli bacteria in an unbounded medium. The results are compared with the propulsive velocity and induced angular velocity measurement by recording the motion of the biomimetic swimmer in a square tank. It is…
Subjects/Keywords: 629.132; Method of regularized Stokeslets; Helical Propulsion; Resistive Force Theory; Slender Body Theory; Collocation methods; Swimming Propulsion; Stokes equations; Low Reynolds Numbers; Boundary element implementation; Biomimetic Swimmer
…resistive force theory, a slender
body theory, and a boundary element method of the MRS. The… …moving helices
when the resistive force coefficients are calculated from a slender body theory… …Slender Body Theory
25
Introduction
Chapter I
Introduction
1.1
Introduction
In fluid… …swim inside the human body to perform targeted drug/cell
delivery and non-invasive… …results show that the
resistive force theory predict accurately the drag, thrust and torque of…
Record Details
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Share »
Record Details
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Cite
« Share
❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Garcia Gonzalez, J. (2017). Numerical analysis of fluid motion at low Reynolds numbers. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.727987
Chicago Manual of Style (16th Edition):
Garcia Gonzalez, Jesus. “Numerical analysis of fluid motion at low Reynolds numbers.” 2017. Doctoral Dissertation, University of Manchester. Accessed January 22, 2021.
https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.727987.
MLA Handbook (7th Edition):
Garcia Gonzalez, Jesus. “Numerical analysis of fluid motion at low Reynolds numbers.” 2017. Web. 22 Jan 2021.
Vancouver:
Garcia Gonzalez J. Numerical analysis of fluid motion at low Reynolds numbers. [Internet] [Doctoral dissertation]. University of Manchester; 2017. [cited 2021 Jan 22].
Available from: https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.727987.
Council of Science Editors:
Garcia Gonzalez J. Numerical analysis of fluid motion at low Reynolds numbers. [Doctoral Dissertation]. University of Manchester; 2017. Available from: https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.727987
University of New Orleans
8.
Zhou, Zhengquan.
A Theory and Analysis of Planing Catamarans in Calm and Rough Water.
Degree: PhD, Naval Architecture and Marine Engineering, 2003, University of New Orleans
URL: https://scholarworks.uno.edu/td/28
► A planing catamaran is a high-powered, twin-hull water craft that develops the lift which supports its weight, primarily through hydrodynamic water pressure. Presently, there is…
(more)
▼ A planing catamaran is a high-powered, twin-hull water craft that develops the lift which supports its weight, primarily through hydrodynamic water pressure. Presently, there is increasing demand to further develop the catamaran's planing and seakeeping characteristics so that it is more effectively applied in today's modern military and pleasure craft, and offshore industry supply vessels. Over the course of the past ten years, Vorus (1994,1996,1998,2000) has systematically conducted a series of research works on planing craft hydrodynamics. Based on Vorus' planing monohull
theory, he has developed and implemented a first order nonlinear model for planing catamarans, embodied in the computer code CatSea. This model is currently applied in planing catamaran design. However, due to the greater complexity of the catamaran flow physics relative to the monohull, Vorus's (first order) catamaran model implemented some important approximations and simplifications which were not considered necessary in the monohull work. The research of this thesis is for relieving the initially implemented approximations in Vorus's first order planing catamaran
theory, and further developing and extending the
theory and application beyond that currently in use in CatSea. This has been achieved through a detailed theoretical analysis, algorithm development, and careful coding. The research result is a new, complete second order nonlinear hydrodynamic
theory for planing catamarans. A detailed numerical comparison of the Vorus's first order nonlinear
theory and the second order nonlinear
theory developed here is carried out. The second order nonlinear
theory and algorithms have been incorporated into a new catamaran design code (NewCat). A detailed mathematical formulation of the base first order CatSea
theory, followed by the extended second order
theory, is completely documented in this thesis.
Advisors/Committee Members: Vorus, William, Wei, Dongming, Falzarano, Jeffrey.
Subjects/Keywords: vortex strength distribution; random wave; nonlinear wave; high speed jet flow; water jet; fast ship; vessel design; drag and resistance dynamic lift; high speed craft; Planing craft; planing boat; impact hydrodynamics; steady planing; seakeeping; slender body theory; time marching; singular integral; special function; ship motion
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APA (6th Edition):
Zhou, Z. (2003). A Theory and Analysis of Planing Catamarans in Calm and Rough Water. (Doctoral Dissertation). University of New Orleans. Retrieved from https://scholarworks.uno.edu/td/28
Chicago Manual of Style (16th Edition):
Zhou, Zhengquan. “A Theory and Analysis of Planing Catamarans in Calm and Rough Water.” 2003. Doctoral Dissertation, University of New Orleans. Accessed January 22, 2021.
https://scholarworks.uno.edu/td/28.
MLA Handbook (7th Edition):
Zhou, Zhengquan. “A Theory and Analysis of Planing Catamarans in Calm and Rough Water.” 2003. Web. 22 Jan 2021.
Vancouver:
Zhou Z. A Theory and Analysis of Planing Catamarans in Calm and Rough Water. [Internet] [Doctoral dissertation]. University of New Orleans; 2003. [cited 2021 Jan 22].
Available from: https://scholarworks.uno.edu/td/28.
Council of Science Editors:
Zhou Z. A Theory and Analysis of Planing Catamarans in Calm and Rough Water. [Doctoral Dissertation]. University of New Orleans; 2003. Available from: https://scholarworks.uno.edu/td/28
. 
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