Joyce Lin : Main - Research

October 29, 2012, at 10:19 PM by 76.23.5.216 -

Changed line 3 from:

\\\\

to:

\\\\\\

October 29, 2012, at 10:19 PM by 76.23.5.216 -

Deleted lines 2-6:

Electrical Activity in Myocardial Tissue

(:cellnr align=center:)

Changed lines 4-5 from:

Polar Sea Ice

to:

Electrical Activity in Myocardial Tissue

Changed line 6 from:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

to:

http://www.math.utah.edu/~lin/images/EphapticCover.jpg

Changed lines 8-9 from:

Sedimentation in Stratified Fluids

to:

Polar Sea Ice

Added lines 12-16:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg (:cellnr align=center:)

Sedimentation in Stratified Fluids (:cell align=center:)

October 29, 2012, at 09:55 PM by 76.23.5.216 -

Changed line 14 from:

\\\\\\\\

to:

\\\\\\

October 29, 2012, at 09:55 PM by 76.23.5.216 -

Changed line 14 from:

\\\\\\

to:

\\\\\\\\

October 29, 2012, at 09:55 PM by 76.23.5.216 -

Changed lines 14-15 from:

\\\\\\Sedimentation in Stratified Fluids

to:

Sedimentation in Stratified Fluids

October 29, 2012, at 09:55 PM by 76.23.5.216 -

Changed line 14 from:

Sedimentation in Stratified Fluids

to:

\\\\\\Sedimentation in Stratified Fluids

October 29, 2012, at 09:54 PM by 76.23.5.216 -

Deleted lines 13-15:

http://www.math.utah.edu/~lin/images/FluidsCover.jpg\\

Added lines 15-16:

(:cell align=center:) http://www.math.utah.edu/~lin/images/FluidsCover.jpg

October 29, 2012, at 09:53 PM by 76.23.5.216 -

Added line 8:

\\\\

October 29, 2012, at 09:53 PM by 76.23.5.216 -

Added lines 1-3:

(:table border=.1 bordercolor=white width=100% align=center bgcolor=white:) (:cellnr align=center:)

Changed lines 7-8 from:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

to:

(:cellnr align=center:)

Added lines 9-12:

(:cell align=center:) http://www.math.utah.edu/~lin/images/AntarcticCover.jpg (:cellnr align=center:)

Added line 17:

(:tableend:)

October 29, 2012, at 09:52 PM by 76.23.5.216 -

October 29, 2012, at 09:46 PM by 76.23.5.216 -

Changed line 9 from:

http://www.math.utah.edu/~lin/images/FluidsCover.jpg

to:

http://www.math.utah.edu/~lin/images/FluidsCover.jpg\\

October 29, 2012, at 09:45 PM by 76.23.5.216 -

Changed lines 7-8 from:

to:

\\

October 29, 2012, at 09:45 PM by 76.23.5.216 -

Added line 8:

http://www.math.utah.edu/~lin/images/FluidsCover.jpg

October 29, 2012, at 09:38 PM by 76.23.5.216 -

Changed lines 1-2 from:

Electrical Activity in Myocardial Tissue

to:

Electrical Activity in Myocardial Tissue

October 29, 2012, at 09:38 PM by 76.23.5.216 -

Changed lines 3-4 from:

Polar Sea Ice http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

to:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg Polar Sea Ice

October 29, 2012, at 09:37 PM by 76.23.5.216 -

Changed lines 3-5 from:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg Polar Sea Ice

to:

Polar Sea Ice http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

October 29, 2012, at 09:37 PM by 76.23.5.216 -

Added lines 2-3:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

Changed line 5 from:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

to:

October 29, 2012, at 09:37 PM by 76.23.5.216 -

Deleted lines 0-1:

(:table border=.1 bordercolor=white width=100% align=center bgcolor=white:) (:cellnr align=center:)

Deleted lines 1-2:

(:cell align=center:) (:cellnr align=center valign=middle:)

Deleted line 2:

(:cell align=center:)

Deleted line 3:

(:cellnr align=center:)

Deleted lines 4-9:

(:cell align=center:) (:tableend:)

A special table
cell 1	cell 2	cell 3
cell 1	cell 2	http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

October 29, 2012, at 09:35 PM by 76.23.5.216 -

Changed line 16 from:

cell 1

cell 2

cell 3

to:

cell 1

cell 2

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

October 29, 2012, at 09:35 PM by 76.23.5.216 -

Changed lines 12-16 from:

(:tableend:)

to:

(:tableend:)

A special table
cell 1	cell 2	cell 3
cell 1	cell 2	cell 3

October 29, 2012, at 09:33 PM by 76.23.5.216 -

Changed line 5 from:

(:cellnr valign=middle:)

to:

(:cellnr align=center valign=middle:)

October 29, 2012, at 09:33 PM by 76.23.5.216 -

Changed line 5 from:

(:cellnr align=center valign='middle':)

to:

(:cellnr valign=middle:)

October 29, 2012, at 09:31 PM by 76.23.5.216 -

Changed line 5 from:

(:cellnr align=center valign=center:)

to:

(:cellnr align=center valign='middle':)

October 29, 2012, at 09:30 PM by 76.23.5.216 -

Changed line 5 from:

(:cellnr align=center valign=middle:)

to:

(:cellnr align=center valign=center:)

October 29, 2012, at 09:30 PM by 76.23.5.216 -

Changed line 1 from:

(:table border=.1 bordercolor=white width=100% align=center valign=middle bgcolor=white:)

to:

(:table border=.1 bordercolor=white width=100% align=center bgcolor=white:)

Changed line 5 from:

(:cellnr align=center:)

to:

(:cellnr align=center valign=middle:)

October 29, 2012, at 09:29 PM by 76.23.5.216 -

Changed line 1 from:

(:table border=.1 bordercolor=white width=100% align=center bgcolor=white:)

to:

(:table border=.1 bordercolor=white width=100% align=center valign=middle bgcolor=white:)

October 29, 2012, at 08:58 PM by 76.23.5.216 -

Changed line 8 from:

http://www.math.utah.edu/~lin/images/AntarcticCover.JPG

to:

http://www.math.utah.edu/~lin/images/AntarcticCover.jpg

October 29, 2012, at 08:58 PM by 76.23.5.216 -

Added line 8:

http://www.math.utah.edu/~lin/images/AntarcticCover.JPG

October 29, 2012, at 08:51 PM by 76.23.5.216 -

Added lines 1-2:

(:table border=.1 bordercolor=white width=100% align=center bgcolor=white:) (:cellnr align=center:)

Changed lines 4-5 from:

to:

(:cell align=center:) (:cellnr align=center:)

Changed lines 7-8 from:

Sedimentation in Stratified Fluids

to:

(:cell align=center:) (:cellnr align=center:) Sedimentation in Stratified Fluids (:cell align=center:) (:tableend:)

November 14, 2010, at 03:51 PM by 174.27.153.234 -

Changed lines 1-31 from:

http://www.math.utah.edu/~lin/images/Header2.jpg

http://www.math.utah.edu/~lin/images/Body.jpg

Sphere falling through stratified fluid at low Reynolds number

Advisors: Roberto Camassa and Richard M. McLaughlin

Laboratory Assistants: Claudia Falcon, Anna Miller, and Nicholas Mykins

Description of the problem
Consider a solid body moving at low Reynolds number through a sharp, stable stratification of miscible fluids. We study the hydrodynamics of the forces in the system, including the fluid flow and the resultant behavior of the sphere.

As the sphere passes through the interface, the importance of the entrained fluid is due to its buoyancy in the lower, denser fluid. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

Results
Our model, with no adjustable parameters, can predict the velocity field of the fluid, and thus the shape of the interface between the stratified fluids. The velocity profile, which shows this non-monotonic transition between terminal velocities of the upper layer and lower layer, can also be compared with the experimental data.

http://www.math.utah.edu/~lin/images/FluidFlow.jpg http://www.math.utah.edu/~lin/images/plastic2.jpg

For more information
Camassa, R., Falcon, C., Lin, J., McLaughlin, R. M. & Parker, R., Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime, Phys. Fluids 21(2009), 031702-1–4.
American Physical Society Virtual Press Room
Falling sphere experiments
Marine Science and Applied Math Fluids Lab

Work is supported by NSF RTG DMS-0502266

to:

Electrical Activity in Myocardial Tissue

Polar Sea Ice

Sedimentation in Stratified Fluids

August 20, 2009, at 02:03 PM by 155.101.40.38 -

Changed lines 16-17 from:

As the sphere passes through the interface, the importance of the entrained fluid is due to its buoyancy in the lower, denser fluid. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

to:

As the sphere passes through the interface, the importance of the entrained fluid is due to its buoyancy in the lower, denser fluid. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

August 20, 2009, at 02:02 PM by 155.101.40.38 -

Changed lines 28-29 from:

Marine Science and Applied Math Fluids Lab

to:

Marine Science and Applied Math Fluids Lab

August 20, 2009, at 02:02 PM by 155.101.40.38 -

Changed lines 28-29 from:

to:

Marine Science and Applied Math Fluids Lab

August 20, 2009, at 02:01 PM by 155.101.40.38 -

Changed lines 10-11 from:

Claudia Falcon and Nicholas Mykins

to:

Claudia Falcon, Anna Miller, and Nicholas Mykins

August 20, 2009, at 02:00 PM by 155.101.40.38 -

Changed lines 25-26 from:

Camassa, R., Falcon, C., Lin, J., McLaughlin, R. M. & Parker, R., Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime, Phys. Fluids 21(2009), 031702-1–4. American Physical Society Virtual Press Room

to:

Camassa, R., Falcon, C., Lin, J., McLaughlin, R. M. & Parker, R., Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime, Phys. Fluids 21(2009), 031702-1–4.
American Physical Society Virtual Press Room\\

August 20, 2009, at 02:00 PM by 155.101.40.38 -

Deleted line 25:

Deleted line 26:

Added lines 28-29:

August 20, 2009, at 02:00 PM by 155.101.40.38 -

Added lines 24-29:

For more information
Camassa, R., Falcon, C., Lin, J., McLaughlin, R. M. & Parker, R., Prolonged residence times for particles settling through stratified miscible fluids in the Stokes regime, Phys. Fluids 21(2009), 031702-1–4.

American Physical Society Virtual Press Room

Falling sphere experiments\\

August 19, 2009, at 09:29 PM by 97.126.185.75 -

Changed lines 1-4 from:

http://www.unc.edu/~jtlin/images/Header2.jpg

http://www.unc.edu/~jtlin/images/Body.jpg

to:

http://www.math.utah.edu/~lin/images/Header2.jpg

http://www.math.utah.edu/~lin/images/Body.jpg

Changed lines 21-22 from:

http://www.unc.edu/~jtlin/images/FluidFlow.jpg http://www.unc.edu/~jtlin/images/plastic2.jpg

to:

http://www.math.utah.edu/~lin/images/FluidFlow.jpg http://www.math.utah.edu/~lin/images/plastic2.jpg

November 07, 2008, at 01:05 PM by 152.2.105.249 -

Changed lines 19-20 from:

Our model, with no adjustable parameters, can predict the velocity field of the fluid, as well as the shape of the interface between the stratified fluids. The velocity profile, which shows this non-monotonic transition between terminal velocities of the upper layer and lower layer, can also be compared with the experimental data.

to:

Our model, with no adjustable parameters, can predict the velocity field of the fluid, and thus the shape of the interface between the stratified fluids. The velocity profile, which shows this non-monotonic transition between terminal velocities of the upper layer and lower layer, can also be compared with the experimental data.

November 07, 2008, at 01:04 PM by 152.2.105.249 -

Changed lines 16-17 from:

As the sphere passes through the interface, the importance of the entrained fluid is enhanced by the buoyancy. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

to:

As the sphere passes through the interface, the importance of the entrained fluid is due to its buoyancy in the lower, denser fluid. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

November 07, 2008, at 01:03 PM by 152.2.105.249 -

Changed lines 13-15 from:

Solid body moving at low Reynolds number through a sharp, stable stratification of miscible fluids. We study the hydrodynamics of the forces in the system, including the fluid flow and the resultant behavior of the sphere.

to:

Consider a solid body moving at low Reynolds number through a sharp, stable stratification of miscible fluids. We study the hydrodynamics of the forces in the system, including the fluid flow and the resultant behavior of the sphere.

November 07, 2008, at 01:00 PM by 152.2.105.249 -

Changed line 23 from:

to:

\\\\

November 07, 2008, at 01:00 PM by 152.2.105.249 -

Changed lines 22-24 from:

http://www.unc.edu/~jtlin/images/plastic2.jpg

to:

http://www.unc.edu/~jtlin/images/plastic2.jpg

Work is supported by NSF RTG DMS-0502266

November 07, 2008, at 11:35 AM by 152.2.105.249 -

Added lines 1-22:

http://www.unc.edu/~jtlin/images/Header2.jpg

http://www.unc.edu/~jtlin/images/Body.jpg

Sphere falling through stratified fluid at low Reynolds number

Advisors: Roberto Camassa and Richard M. McLaughlin

Laboratory Assistants: Claudia Falcon and Nicholas Mykins

Description of the problem
Solid body moving at low Reynolds number through a sharp, stable stratification of miscible fluids. We study the hydrodynamics of the forces in the system, including the fluid flow and the resultant behavior of the sphere.

As the sphere passes through the interface, the importance of the entrained fluid is enhanced by the buoyancy. We find that the sphere will slow down dramatically as it passes through the density transition. We develop a model from first principles of the highly coupled system to capture this effect.

Results
Our model, with no adjustable parameters, can predict the velocity field of the fluid, as well as the shape of the interface between the stratified fluids. The velocity profile, which shows this non-monotonic transition between terminal velocities of the upper layer and lower layer, can also be compared with the experimental data.

http://www.unc.edu/~jtlin/images/FluidFlow.jpg http://www.unc.edu/~jtlin/images/plastic2.jpg

Main.Research History