# Dr Oliver Kerr

## Contact

- Dr Oliver Kerr
- +44 (0)20 7040 8465
- o.s.kerr@city.ac.uk

## Postal Address

Northampton Square

London

EC1V 0HB

United Kingdom

## About

### Overview

Dr Kerr was an undergraduate at Trinity Hall, University of Cambridge where he was awarded a degree in Mathematics. He spent a further year on Part III of the course, getting a certificate in Advanced Studies in Mathematics (later converted into an MMath). He then went to Bristol University, studying under Dr Judy Holyer, before continuing there with a couple of post-doctoral positions and a couple of temporary lectureships. He then secured a lectureship here at City University in the Department of Mathematics.

### Qualifications

- MMath (Retrospective), University of Cambridge, United Kingdom, 2011
- PhD Mathematics, University of Bristol, United Kingdom, 1989
- Cert of Advanced Study in Mathematics, University of Cambridge, United Kingdom, 1983
- BA Mathematics, University of Cambridge, United Kingdom, 1982

### Employment

- Research Assistant/Associate, Lecturer, University of Bristol, 1988 – 1993

### Fellowships

- Institute of Mathematics and its Applications, May 2009 – present

### Memberships of professional organisations

- London Mathematical Sosciety, Jul 2009 – present
- American Geophysical Union, Jan 2006 – present

## Research

### Double-Diffusive Convection

I am interested in various topics in theoretical fluid dynamics. My central interest has been in topics relating to double-diffusive convection (convection driven by density differences caused by variations in both temperature and salinity) such as determining when instabilities will be observed, and how they behave once they develop.

### Instabilities in Evolving Systems

Some of the double-diffusive problems have some little understood aspects that I am actively looking into such as how instabilities form in evolving systems. This contrasts with the traditional stability analysis which often looks at instabilities that grow from a time-independent background state (or one that can be approximated as steady).

A typical problem would be the heating of a large body of water from a boundary. Initially the fluid is stable, and only subsequently goes unstable.

## Research Students

### Kit Yee Tang

**Thesis title: **Double Diffusive Convection in a Vertical Slot

### Juan Faiz Talabany

**Thesis title: **The Onset of Double-diffusive Instability In Evolving Sidewall Heating

### Elizabeth Lawal

**Thesis title: **Time dependent double-diffusive convective instabilities from the lateral heating of a stratified fluid layer

### Zoë Gumm

**Thesis title: **Thermal Instabilities in an Evolving Boundary Layer at a Single Vertical Wall

## Publications

### Internet publication

- Kerr, O. (2016).
**Critical Rayleigh number of an error function temperature profile with a quasi-static assumption.**arXiv.

### Journal articles (26)

- Kerr, O.S. (2018).
**Double-diffusive instabilities at a horizontal boundary after the sudden onset of heating.***Journal of Fluid Mechanics*. doi:10.1017/jfm.2018.821. - Kerr, O.S. and Gumm, Z. (2017).
**Thermal instability in a time-dependent base state due to sudden heating.***Journal of Fluid Mechanics*,*825*, pp. 1002–1034. doi:10.1017/jfm.2017.408. - Kerr, O.S. (2014).
**Comment on 'Nonlinear eigenvalue problems'.***Journal of Physics A: Mathematical and Theoretical*,*47*(36). doi:10.1088/1751-8113/47/36/368001. - Kerr, O.S. (2007).
**Periodic intrusions in a stratified fluid.***JOURNAL OF FLUID MECHANICS*,*580*, pp. 467–480. doi:10.1017/S0022112007005617. - Kerr, O.S. (2006).
**An exact solution in sedimentation under an inclined wall.***PHYSICS OF FLUIDS*,*18*(12). doi:10.1063/1.2404983. - Kerr, O.S. and Zebib, A. (2006).
**The effect of vibrations on sideways double-diffusive instabilities: strong stratification asymptotics.***JOURNAL OF FLUID MECHANICS*,*559*, pp. 299–306. doi:10.1017/S0022112006000619. - Kerr, O.S. and Zebib, A. (2006).
**Low-gravity sideways double-diffusive instabilities: Small wave number asymptotics.***PHYSICS OF FLUIDS*,*18*(6). doi:10.1063/1.2213998. - Ruddick, B. and Kerr, O. (2003).
**Oceanic thermohaline intrusions: theory.***PROGRESS IN OCEANOGRAPHY*,*56*(3-4), pp. 483–497. doi:10.1016/S0079-6611(03)00029-6. - Chan, C.L., Chen, W.-.Y. and Chen, C.F. (2002).
**Secondary motion in convection layers generated by lateral heating of a solute gradient (with an Appendix by O. S. Kerr).***J. Fluid Mech.*,*455*, pp. 1–19. - Kerr, O.S. (2001).
**Oscillatory double-diffusive instabilities in a vertical slot.***JOURNAL OF FLUID MECHANICS*,*426*, pp. 347–354. doi:10.1017/S0022112000002445. - Kerr, O.S. (2000).
**The criteria for the onset of double-diffusive instabilities at a vertical boundary.***PHYSICS OF FLUIDS*,*12*(12), pp. 3289–3292. doi:10.1063/1.1321257. - Kerr, O.S. (2000).
**Three-dimensional instabilities of steady double-diffusive interleaving.***JOURNAL OF FLUID MECHANICS*,*418*, pp. 297–312. doi:10.1017/S002211200000135X. - Kerr, O.S. and Tang, K.Y. (1999).
**Double-diffusive instabilities in a vertical slot.***JOURNAL OF FLUID MECHANICS*,*392*, pp. 213–232. doi:10.1017/S0022112099005315. - Kerr, O.S. and Dold, J.W. (1996).
**Flame propagation around stretched periodic vortices investigated using ray-tracing.***COMBUSTION SCIENCE AND TECHNOLOGY*,*118*(1-3), pp. 101–125. doi:10.1080/00102209608951974. - Kerr, O.S. and Dold, J.W. (1996).
**Investigation of Flame Propagation Through Steady Periodic Vortices in a Stagnation Point Flow by the use of Ray-Tracing.***Combust. Sci. Tech.*,*118*, pp. 101–125. - KERR, O.S. (1995).
**THE EFFECT OF ROTATION ON DOUBLE-DIFFUSIVE CONVECTION IN A LATERALLY HEATED VERTICAL SLOT.***JOURNAL OF FLUID MECHANICS*,*301*, pp. 345–370. doi:10.1017/S0022112095003922. - Dold, J.W., Kerr, O.S. and Nikolova, I.P. (1995).
**Flame propagation through periodic vortices.***Combustion Flame*,*100*, pp. 359–359. - Kerr, O.S. and Dold, J.W. (1994).
**Periodic Steady Vortices in a Stagnation Point Flow.***J. Fluid Mech.*,*276*, pp. 307–325. doi:10.1017/S0022112094002570. - Kerr, O.S. (1992).
**Two-dimensional instabilities of steady double-diffusive interleaving.***J. Fluid Mech.*,*242*, pp. 99–116. - Kerr, O.S. (1992).
**On the merging of double-diffusive convection cells at a vertical boundary.***Phys. Fluids A*,*4*, pp. 2923–2926. - Kerr, O.S. (1991).
**Double-diffusive instabilities at a sloping boundary.***J. Fluid Mech.*,*225*, pp. 333–354. - Kerr, O.S. (1990).
**Heating a salinity gradient from a vertical sidewall: nonlinear theory.***J. Fluid Mech.*,*217*, pp. 529–546. - Kerr, O.S. (1989).
**Heating a salinity gradient from a vertical sidewall: linear theory.***J. Fluid Mech.*,*207*, pp. 323–352. - Kerr, O.S. and Wheeler, A.A. (1989).
**The effect of a weak vertical magnetic field on the boundary layer past a vertical heated wall.***J. Fluid Mech.*,*199*, pp. 217–236. - Kerr, O.S. and Wheeler, A.A. (1989).
**The effect of a magnetic field on the flux of a contaminant dissolving into the crucible wall boundary layer in Czochralski crystal growth.***J. Crys. Growth*,*96*, pp. 915–932. - Kerr, O.S. and Holyer, J.Y. (1986).
**The effect of rotation on double-diffusive interleaving.***J. Fluid Mech.*,*162*, pp. 23–33.

## Education

### Undergraduate Teaching

In 2013-14 Dr Kerr is teaching:

MA1617 Computational Mathematics

MA2608 Numerical Mathematics

### Postgraduate Teaching

Dr Kerr is teaching a module on Modelling for the London Taught Course Centre (LTCC) for PhD students in a number of London universities.