Publications: Hocking, Graeme

Journal Article

Shraida, S.M. and Hocking, G.C. (2019) Potential flow of fluid from an elevated, two-dimensional source. Applied Mathematical Modelling, 71 . pp. 349-362.

Farrow, D.E., Hocking, G.C., Cringle, S.J. and Yu, D-Y (2018) Modelling hydrogen clearance from the retina. The ANZIAM Journal, 59 (3). pp. 281-292.

Omar, H.A. and Hocking, G.C. (2017) Dense underflow into a lake or reservoir – supercritical flow solutions. Applied Mathematical Modelling, 42 . pp. 449-461.

Omar, H.A. and Hocking, G.C. (2017) Dense underflow into a lake or reservoir—Sub-critical flow. Applied Mathematical Modelling, 46 . pp. 465-475.

Hocking, G.C., Nguyen, H.H.N., Stokes, T.E. and Forbes, L.K. (2017) The effect of surface tension on free surface flow induced by a point sink in a fluid of finite depth. Computers & Fluids, 156 . pp. 526-533.

Russell, P.S., Forbes, L.K. and Hocking, G.C. (2017) The initiation of a planar fluid plume beneath a rigid lid. Journal of Engineering Mathematics, 106 (1). pp. 107-121.

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, 28 (3). pp. 357-379.

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 line sink in a flowing stream with surface tension effects. European Journal of Applied Mathematics, 27 (02). pp. 248-263.

Hocking, G.C. and Mitchell, S.L. (2016) A model of flow in a sugar diffuser. IMA Journal of Applied Mathematics, 81 (6). pp. 984-998.

Holmes, R.J. and Hocking, G.C. (2016) A note on waveless subcritical flow past symmetric bottom topography. European Journal of Applied Mathematics, 28 (4). pp. 562-575.

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.

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.