# Publications: Hocking, Graeme

**68**.

## Journal Article

Hocking, G.C. and Zhang, H. (2014) *A note an axisymmetric supercritical coning in a porous medium.* ANZIAM Journal, In press .

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.

**Tue Sep 30 13:02:25 2014 IST**.