# Publications: Hocking, Graeme

**74**.

## Journal Article

Stokes, T.E., Hocking, G.C. and Forbes, L.K.
(2016)
*Unsteady flows induced by a point source or sink in a fluid of finite depth.*
European Journal of Applied Mathematics, In press
.

Hocking, G.C., Nguyen, H.H.N., Forbes, L.K. and Stokes, T.E.
(2016)
*The effect of surface tension on free-surface flow induced by a point sink.*
The ANZIAM Journal, 57
(04).
pp. 417-428.

Holmes, R.J. and Hocking, G.C.
(2016)
*A note on waveless subcritical flow past symmetric bottom topography.*
European Journal of Applied Mathematics
.
In Press.

Fowkes, N., Hocking, G., Mason, D.P., Please, C.P., Kgatle, R., Yilmaz, H. and van der Merwe, N.
(2015)
*Models for the effect of rising water in abandoned mines on seismic activity.*
International Journal of Rock Mechanics and Mining Sciences, 77
.
pp. 246-256.

Holmes, R.J. and Hocking, G.C.
(2015)
*A line sink in a flowing stream with surface tension effects.*
European Journal of Applied Mathematics, 27
(02).
pp. 248-263.

Hocking, G.C. and Zhang, H.
(2014)
*A note an axisymmetric supercritical coning in a porous medium.*
ANZIAM Journal, 55
(4).
pp. 327-335.

Hocking, G.C., Forbes, L.K. and Stokes, T.E.
(2014)
*A note on steady flow into a submerged point sink.*
The ANZIAM Journal, 56
(2).
pp. 150-159.

Forbes, L.K. and Hocking, G.C.
(2013)
*Unsteady plumes in planar flow of viscous and inviscid fluids.*
IMA Journal of Applied Mathematics, 78
(2).
pp. 206-234.

Holmes, R.J., Hocking, G.C., Forbes, L.K. and Baillard, N.Y.
(2013)
*Waveless subcritical flow past symmetric bottom topography.*
European Journal of Applied Mathematics, 24
(2).
pp. 213-230.

Hocking, G.C., Holmes, R.J. and Forbes, L.K.
(2013)
*A note on waveless subcritical flow past a submerged semi-ellipse.*
Journal of Engineering Mathematics, 81
(1).
pp. 1-8.

Zhang, H., Barry, D.A. and Hocking, G.C.
(2012)
*Comment on “Experimental observations of saltwater up-coning”.*
Journal of Hydrology, 422-423
(23 February).
pp. 81-83.

Letchford, N.A., Forbes, L.K. and Hocking, G.C.
(2012)
*Inviscid and viscous models of axisymmetric fluid jets or plumes.*
ANZIAM Journal, 53
(03).
pp. 228-250.

Stokes, T.E., Hocking, G.C. and Forbes, L.K.
(2012)
*Steady free surface flows induced by a submerged ring source or sink.*
Journal of Fluid Mechanics, 694
.
pp. 352-370.

Hocking, G.C., Sweatman, W.L., Fitt, A.D. and Breward, C.
(2011)
*Deformations during jet-stripping in the galvanizing process.*
Journal of Engineering Mathematics, 70
(1-3).
pp. 297-306.

Hocking, G.C., Chen, S.A. and Forbes, L.K.
(2011)
*Withdrawal from the lens of freshwater in a tropical island: The two interface case.*
Computers & Fluids, 50
(1).
pp. 175-180.

Hocking, G.C. and Forbes, L.K.
(2010)
*Steady flow of a buoyant plume into a constant-density layer.*
Journal of Engineering Mathematics, 67
(4).
pp. 341-350.

Forbes, L.K. and Hocking, G.C.
(2010)
*Unsteady draining of a fluid from a circular tank.*
Applied Mathematical Modelling, 34
(12).
pp. 3958-3975.

Hocking, G.C. and Zhang, H.
(2009)
*Coning during withdrawal from two fluids of different density in a porous medium.*
Journal of Engineering Mathematics, 65
(2).
pp. 101-109.

Zhang, H., Hocking, G.C. and Seymour, B.
(2009)
*Critical and supercritical withdrawal from a two-layer fluid through a line sink in a partially bounded aquifer.*
Advances in Water Resources, 32
(12).
pp. 1703-1710.

Chen, S.A. and Hocking, G.C.
(2009)
*The lens of freshwater in a tropical island: The two interface case.*
ANZIAM Journal, 51
(SUPPL.).
C1-C15.

Hocking, G.C., Stokes, T.E. and Forbes, L.K.
(2009)
*A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink.*
ANZIAM Journal, 51
(SUPPL.).
E16-E36.

Forbes, L.K., Hocking, G.C. and Stokes, T.E.
(2008)
*On starting conditions for a submerged sink in a fluid.*
Journal of Engineering Mathematics, 61
(1).
pp. 55-68.

Stokes, T.E., Hocking, G.C. and Forbes, L.K.
(2008)
*Unsteady free surface flow induced by a line sink in a fluid of finite depth.*
Computers & Fluids, 37
(3).
pp. 236-249.

Hocking, G.C. and Vanden-Broeck, J-M.
(2008)
*The effect of gravity on flow past a semi-circular cylinder with a constant pressure wake.*
Applied Mathematical Modelling, 32
(5).
pp. 677-687.

Hocking, G.C. and Zhang, H.
(2008)
*A note on withdrawal from a two-layer fluid through a line sink in a porous medium.*
ANZIAM Journal, 50
(01).
pp. 101-110.

Forbes, L.K. and Hocking, G.C.
(2007)
*Unsteady draining flows from a rectangular tank.*
Physics of Fluids, 19
(8).
082104.

Hocking, G.C. and Forbes, L.K.
(2007)
*A note on the flow of a homogeneous intrusion into a two-layer fluid.*
European Journal of Applied Mathematics, 18
(02).
pp. 181-193.

Hocking, G.C.
(2006)
*Steady Prandtl-Batchelor flows past a circular cylinder.*
ANZIAM Journal, 48
(02).
pp. 165-177.

Forbes, L.K. and Hocking, G.C.
(2006)
*An intrusion layer in stationary incompressible fluids Part 2: A solitary wave.*
European Journal of Applied Mathematics, 17
(05).
pp. 577-595.

Forbes, L.K., Hocking, G.C. and Farrow, D.E.
(2006)
*An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves.*
European Journal of Applied Mathematics, 17
(05).
pp. 557-575.

Farrow, D.E. and Hocking, G.C.
(2006)
*A numerical model for withdrawal from a two-layer fluid.*
Journal of Fluid Mechanics, 549
(Feb).
pp. 141-157.

Forbes, L.K. and Hocking, G.C.
(2005)
*Flow due to a sink near a vertical wall, in infinitely deep fluid.*
Computers & Fluids, 34
(6).
pp. 684-704.

Stokes, T.E., Hocking, G.C. and Forbes, L.K.
(2005)
*Unsteady flow induced by a withdrawal point beneath a free surface.*
ANZIAM Journal, 47
(02).
pp. 185-202.

Forbes, L.K., Hocking, G.C. and Wotherspoon, S.
(2004)
*Salt-water up-coning during extraction of fresh water from a tropical island.*
Journal of Engineering Mathematics, 48
(1).
pp. 69-91.

Hocking, G.C. and Forbes, L.K.
(2004)
*The lens of freshwater in a tropical island––2d withdrawal.*
Computers & Fluids, 33
(1).
pp. 19-30.

Forbes, L.K. and Hocking, G.C.
(2003)
*On the computation of steady axi-symmetric withdrawal from a two-layer fluid.*
Computers & Fluids, 32
(3).
pp. 385-401.

Stokes, T.E., Hocking, G.C. and Forbes, L.K.
(2003)
*Unsteady free-surface flow induced by a line sink.*
Journal of Engineering Mathematics, 47
(2).
pp. 137-160.

Strasškraba, M. and Hocking, G.
(2002)
*The effect of theoretical retention time on the hydrodynamics of deep river valley reservoirs.*
International Review of Hydrobiology, 87
(1).
pp. 61-83.

Hocking, G.C., Vanden-Broeck, J-M. and Forbes, L.K.
(2002)
*A note on withdrawal from a fluid of finite depth through a point sink.*
ANZIAM Journal, 44
(02).
pp. 181-191.

Asaeda, T., Pham, H.S., Nimal Priyantha, D.G., Manatunge, J. and Hocking, G.C.
(2001)
*Control of algal blooms in reservoirs with a curtain: a numerical analysis.*
Ecological Engineering, 16
(3).
pp. 395-404.

Stokes, T.E. and Hocking, G.C.
(2001)
*On the optimal inner tube shape for an ultrasonic nebulizer.*
ANZIAM Journal, 43
.
E37-E74.

Hocking, G.C. and Forbes, L.K.
(2001)
*Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth.*
Journal of Fluid Mechanics, 428
.
pp. 333-348.

Hocking, G.C. and Forbes, L.K.
(2000)
*Withdrawal from a fluid of finite depth through a line sink, including surface-tension effects.*
Journal of Engineering Mathematics, 38
(1).
pp. 91-100.

Zhang, H., Baray, D.A. and Hocking, G.C.
(1999)
*Analysis of continuous and pulsed pumping of a phreatic aquifer.*
Advances in Water Resources, 22
(6).
pp. 623-632.

Hocking, G.C. and Strasškraba, M.
(1999)
*The effect of light extinction on thermal stratification in reservoirs and lakes.*
International Review of Hydrobiology, 84
(6).
pp. 535-556.

Forbes, L.K. and Hocking, G.C.
(1998)
*Withdrawal from a two-layer inviscid fluid in a duct.*
Journal of Fluid Mechanics, 361
.
pp. 275-296.

Hocking, G. and Vanden-Broeck, J-M.
(1998)
*Withdrawal of a fluid of finite depth through a line sink with a cusp in the free surface.*
Computers & Fluids, 27
(7).
pp. 797-806.

Asaeda, T., Priyantha, N., Hocking, G.C., Saitoh, S., Gotoh, K. and Iseri, Y.
(1997)
*Application of a two dimensional model to predict the effects of the curtain method on algal blooming in reservoirs.*
Annual Journal of Hydraulic Engineering, 41
.
pp. 415-420.

Zhang, H. and Hocking, G.C.
(1997)
*Axisymmetric flow in an oil reservoir of finite depth caused by a point sink above an oil-water interface.*
Journal of Engineering Mathematics, 32
(4).
pp. 365-376.

Hamilton, D, Hocking, G.C. and Patterson, J.C.
(1997)
*Criteria for selection of spatial dimension in the application of one- and two-dimensional water quality models.*
Mathematics and Computers in Simulation, 43
(3-6).
pp. 387-393.

Hocking, G.C. and Vanden-Broeck, J-M.
(1997)
*Draining of a fluid of finite depth into a vertical slot.*
Applied Mathematical Modelling, 21
(10).
pp. 643-649.

Zhang, H., Hocking, G.C. and Barry, D.A.
(1997)
*An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium.*
Journal of the Australian Mathematical Society Series B-Applied Mathematics, 39
(2).
pp. 271-279.

Zhang, H. and Hocking, G.C.
(1996)
*Withdrawal of layered fluid through a line sink in a porous medium.*
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 38
(02).
pp. 240-254.

Forbes, L.K., Hocking, G.C. and Chandler, G.A.
(1996)
*A note on withdrawal through a point sink in fluid of finite depth.*
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 37
(03).
pp. 406-416.

Hocking, G.C.
(1995)
*Supercritical withdrawal from a two-layer fluid through a line sink.*
Journal of Fluid Mechanics, 297
(-1).
pp. 37-47.

Dun, C.R. and Hocking, G.C.
(1995)
*Withdrawal of fluid through a line sink beneath a free surface above a sloping boundary.*
Journal of Engineering Mathematics, 29
(1).
pp. 1-10.

Forbes, L.K. and Hocking, G.C.
(1995)
*The bath-plug vortex.*
Journal of Fluid Mechanics, 284
(1).
pp. 43-62.

Whale, J., Fowkes, N., Hocking, G. and Hill, D.
(1995)
*A model of the injection moulding process.*
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 37
(01).
pp. 1-15.

Hocking, G.C. and Patterson, J.C.
(1994)
*Modelling tracer dispersal and residence time in a reservoir.*
Ecological Modelling, 74
(1-2).
pp. 63-75.

Hocking, G. and Straskraba, M.
(1994)
*An analysis of the effect of an upstream reservoir by means of a mathematical model of reservoir hydrodynamics.*
Water Science and Technology, 30
(2).
pp. 91-98.

Hocking, G.C. and Forbes, L.K.
(1992)
*Subcritical free-surface flow caused by a line source in a fluid of finite depth.*
Journal of Engineering Mathematics, 26
(4).
pp. 455-466.

Hocking, G.C.
(1991)
*Critical withdrawal from a two-layer fluid through a line sink.*
Journal of Engineering Mathematics, 25
(1).
pp. 1-11.

Hocking, G.C. and Patterson, J.C.
(1991)
*Quasi-two-dimensional reservoir simulation model.*
Journal of Environmental Engineering, 117
(5).
pp. 595-613.

Hocking, G.C.
(1991)
*Withdrawal from two-Layer fluid through line sink.*
Journal of Hydraulic Engineering, 117
(6).
pp. 800-805.

Hocking, G.C., Sherman, B.S. and Patterson, J.C.
(1988)
*Algorithm for selective withdrawal from Stratified Reservoir.*
Journal of Hydraulic Engineering, 114
(7).
p. 707.

## Conference Paper

Hocking, G.C., Sweatman, W.L., Fitt, A.D. and Breward, C.
(2012)
*Deformations arising during air-knife stripping in the galvanization of steel.*
In: Progress in Industrial Mathematics at ECMI 2010, 26 - 30 July, 2010, Wuppertal, Germany
pp. 311-317.

Hocking, G., Sweatman, W., Roberts, M. and Fitt, A.
(2010)
*Coating deformations in the continuous hot-dipped galvanizing process.*
In: 2009 Mathematics and Statistics in Industry Study Group, MISG2009, 27 - 31 January, 2009, Wollongong, Australia
pp. 75-89.

Hocking, G., Jakeman, J., Sexton, J. and Wand, M.
(2008)
*Tsunami risk modelling for Australia: understanding the impact of data.*
In: 2008 Mathematics and Statistics in Industry Study Group, MISG2008, 28 January - 1 February, Wollongong, Australia
pp. 23-36.

Hocking, G., Stokes, Y. and Sweatman, W.
(2005)
*Implementing Lanier's patents for stable safe and economical ultra short wing vacu- and para planes.*
In: Proceedings of the 2005 Mathematics-in-Industry Study Group (MISG), 24 - 28 January, Auckland, New Zealand

Fowkes, N. and Hocking, G.
(2001)
*Analysis of train wheel noise.*
In: Proceedings of the 2000 Maths-in-industry study group, Adelaide, Australia
pp. 54-79.

Sciffer, S. and Hocking, G.
(2000)
*Optimisation of cavity formation and entrainment in deep submerged water jets.*
In: Proceedings of the 1999 Mathematics-In-Industry Study Group, 1 - 5 February, Brisbane, Australia
pp. 68-93.

Fulford, G. and Hocking, G.
(1998)
*Optimisation of an ultrasonic nebulizer.*
In: Proceedings of the 1998 Mathematics-in-Industry Study Group, 2 - 6 February, Brisbane, Australia
pp. 77-97.

## Others

Bassom, A. and Hocking, G.
(2010)
*Editorial.*
ANZIAM Journal, 51
(03).
i-ii.

Bassom, A. and Hocking, G.
(2010)
*Editorial.*
ANZIAM Journal, 52
(01).
i.

**Fri Dec 9 13:41:20 2016 UTC**.