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Dr Sarah Mitchell

Ph.D.MMaths

Biography

Sarah Mitchell is a Senior Lecturer and Head of the Department of Mathematics and Statistics at the University of Limerick (UL). She obtained her undergraduate degree in 1999 (MMath in Mathematics) and her PhD in 2003, both from the University of Bath, UK. Afterwards she took up two postdoc positions in Canada (University of British Columbia, 2003-2006) and South Africa (University of Cape Town, 2006-2008), before starting a lectureship position in Applied Mathematics at UL in January 2008. In September 2013 she became Deputy Head of Department and then took over as Head in September 2016.Her main research interests are in numerical and mathematical modelling of moving boundary problems relevant to solidification (such as casting of metals) or melting (such as glaciers) and modelling drug diffusion in glassy polymers.

Research Interests

Mathematical Modelling, Numerical Analysis

Publications

Conference Publication

2009

AIP Conference Proceedings
Mitchell S.L., Myers T.G.
DOI: 10.1063/1.3241367

2008

ECMI 2008
Mitchell, S.L. and Myers, T.G.

2008

Hydraulic Fracturing Summit VIII
Mitchell, S.L., Kuske, R., Peirce, A.P.

2007

SANUM, 2007
Mitchell, S.L. and Myers, T.G.

2006

SIAM Annual Meeting
Mitchell, S.L., Kuske, R., Peirce, A.P.

2005

Hydraulic Fracturing Summit V
Mitchell, S.L., Kuske, R., Peirce, A.P.

Other Publication

2011

Evaporative cooling and the Mpemba effect (vol 46, pg 881, 2010)
Vynnycky, M; Mitchell, SL; Maeno, N
Heat And Mass Transfer DOI: 10.1007/s00231-010-0759-3

Peer Reviewed Journal

2016
2015

On the numerical solution of a Stefan problem with finite extinction time
Vynnycky, M,Mitchell, SL
Journal Of Computational And Applied Mathematics DOI: 10.1016/j.cam.2014.08.023

2015

Glacial melt under a porous debris layer
Evatt, GW,Abrahams, ID,Heil, M,Mayer, C,Kingslake, J,Mitchell, SL,Fowler, AC,Clark, CD
Journal Of Glaciology DOI: 10.3189/2015Jo14J235

2015

A mathematical model for nanoparticle melting with density change
Font, F,Myers, TG,Mitchell, SL
Microfluidics And Nanofluidics DOI: 10.1007/s10404-014-1423-x

2015

The oxygen diffusion problem: Analysis and numerical solution
Mitchell, SL,Vynnycky, M
Applied Mathematical Modelling DOI: 10.1016/j.apm.2014.10.068

2015

Mould-taper asymptotics and air gap formation in continuous casting
Florio, BJ,Vynnycky, M,Mitchell, SL,O'Brien, SBG
Applied Mathematics And Computation DOI: 10.1016/j.amc.2015.07.011

2014

Analysis and simplification of a mathematical model for high-pressure food processes
Smith, NAS,Mitchell, SL,Ramos, AM
Applied Mathematics And Computation DOI: 10.1016/j.amc.2013.10.030

2014

On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions
Mitchell, SL,Vynnycky, M
Journal Of Computational And Applied Mathematics DOI: 10.1016/j.cam.2014.01.003

2014

Reaction front formation in contaminant plumes
Cribbin, LB,Winstanley, HF,Mitchell, SL,Fowler, AC,Sander, GC
Journal Of Contaminant Hydrology DOI: 10.1016/j.jconhyd.2014.10.006

2013

One-dimensional solidification of supercooled melts
Font, F,Mitchell, SL,Myers, TG
International Journal Of Heat And Mass Transfer DOI: 10.1016/j.ijheatmasstransfer.2013.02.070

2012

An accurate finite-difference method for ablation-type Stefan problems
Mitchell, SL,Vynnycky, M
Journal Of Computational And Applied Mathematics DOI: 10.1016/j.cam.2012.05.011

2012

Energy conservation in the one-phase supercooled Stefan problem
Myers, TG,Mitchell, SL,Font, F
International Communications In Heat And Mass Transfer DOI: 10.1016/j.icheatmasstransfer.2012.09.005

2011
2011

Application of the combined integral method to Stefan problems
Myers, TG; Mitchell, SL
Applied Mathematical Modelling DOI: 10.1016/j.apm.2011.02.049

2011

An accurate numerical solution for the transient heating of an evaporating spherical droplet
Mitchell, SL; Vynnycky, M; Gusev, IG; Sazhin, SS
Applied Mathematics And Computation DOI: 10.1016/j.amc.2011.03.161

2010

Evaporative cooling and the Mpemba effect
Vynnycky, M; Mitchell, SL
Heat And Mass Transfer DOI: 10.1007/s00231-010-0637-z

2008

Heat balance integral method for one-dimensional finite ablation
Mitchell, SL; Myers, TG
Journal Of Thermophysics And Heat Transfer DOI: 10.2514/1.31755

2008

Unsteady contact melting of a rectangular cross-section material on a flat plate
Myers, TG; Mitchell, SL; Muchatibaya, G
Physics Of Fluids DOI: 10.1063/1.2990751

2008

Unsteady contact melting of a rectangular cross-section phase change material
Myers,TG; Mitchell, SL; Muchatibaya, G; Myers, TG; Mitchell, SL; Muchatibaya, G
Physics Of Fluids

2007

A cubic heat balance integral method for one-dimensional melting of a finite thickness layer
Myers, TG; Mitchell, SL; Muchatibaya, G; Myers, MY
International Journal Of Heat And Mass Transfer

2007

An asymptotic framework for finite hydraulic fractures including leak-off
Mitchell, SL; Kuske, R; Peirce, AP
S.I.A.M. Journal Of Applied Mathematics

2007

An asymptotic framework for the analysis of hydraulic fractures: the impermeable case
Mitchell, SL , Kuske, R , Peirce, AP
Journal Of Applied Mechanics

2006

Application of Box Schemes to Groundwater Flow Problems
Mitchell, SL; Morton, KW; Spence, A
Siam Journal On Scientific Computing