The MIIS Eprints Archive: No conditions. Results ordered -Date Deposited. 2019-04-23T10:02:45ZEPrintshttp://www.maths-in-industry.org/images/sitelogo.gifhttp://www.maths-in-industry.org/miis/2014-03-22T11:49:53Z2015-05-29T20:17:08Zhttp://www.maths-in-industry.org/miis/id/eprint/658This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6582014-03-22T11:49:53ZDowty Turbine Vibration ProblemThis report investigates mechanisms for a chattering instability that is detected in a steam-driven high-speed turbine. Several different models were considered but no consensus about the basic cause of the instability was reached.A.D. FittD.F. P.T.G. R.G. McC.P.C. ParksP. W.2014-03-22T11:44:25Z2015-05-29T20:17:04Zhttp://www.maths-in-industry.org/miis/id/eprint/657This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6572014-03-22T11:44:25ZImage IdentificationA scheme for determining the boundary of a flame in a colour image is developed. A discussion of how to fit a parallelogram to the flame follows.S.D. Howison2014-03-22T11:41:33Z2015-05-29T20:17:00Zhttp://www.maths-in-industry.org/miis/id/eprint/656This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6562014-03-22T11:41:33ZAnnular BreakthroughThis report investigates mechanisms for annular breakthrough in a single-bearing system. The model treats the bearing as a "canal lock" mechanism and it assumes the competing effects of large pressure gradients across the washer and friction are of the same order. The pressure gradient is assumed to vary sinusoidally in time. The bearing rapidly settles into periodic motion and no breakthrough instability is observed.J.R. KingA.A. LaceyJ.N. D.D.A. S.P. W.2014-03-22T11:39:10Z2015-05-29T20:16:55Zhttp://www.maths-in-industry.org/miis/id/eprint/655This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6552014-03-22T11:39:10ZVoid spaces under tubes in fluidized bedsA mathematical model is developed to understand how voids form under tubes in fluidized beds. Gas flow in the fluidized bed is assumed to be governed by Darcy's law and the void is assumed to be an inviscid fluid. Two cases are considered depending on whether there is gas flow through the void boundary.G.R. D.2014-03-22T11:37:52Z2015-05-29T20:16:52Zhttp://www.maths-in-industry.org/miis/id/eprint/654This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6542014-03-22T11:37:52ZJet break-upThe break-up of liquid jets due to capillary instabilities is studied in order to determine the relevant non-dimensional numbers and to how the outlet nozzle affects the break-up process. A linear stability analysis is carried out as well as a literature survey. Techniques for suppressing the formation of satellite drops are discussed.O. HarlenS. HelcherO. Jensen2014-03-19T23:56:11Z2015-05-29T20:16:49Zhttp://www.maths-in-industry.org/miis/id/eprint/653This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6532014-03-19T23:56:11ZFouling layers on heat exchangers with temperature dependent viscosityThis report descibes a mathematical model for the fluid motion and the heat transfer in a heat exchanger which gradually becomes clogged by particle deposition on the walls. A lubrication model is derived and then averaged.M. AudetA. YoungD. LarsenH. Ockendon2014-03-19T23:54:25Z2015-05-29T20:16:45Zhttp://www.maths-in-industry.org/miis/id/eprint/652This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6522014-03-19T23:54:25ZAnthracite CarbonizerThis problem concerns the conversion of raw anthracite into calcined anthracite in a cylinder that is heated by Joule heating. Of particular interest was determining whether any thermal runaway occurs due to the electrical properties being temperature dependent. The investigation concentrated on coupling the thermal and electrical behaviour and granular-flow effects were neglected.J. KingC.P. PleaseP.S. Hagan2014-03-19T23:51:42Z2015-05-29T20:16:41Zhttp://www.maths-in-industry.org/miis/id/eprint/651This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6512014-03-19T23:51:42ZElectric arc problemThis problem was concerned with the behaviour of an electric arc as the current supplied to the arc passed through zero. We sought to establish a model that predicts the conditions under which the arc was extinguished. During the study group we attempted to show how an equation of state could be derived by proposing that the arc should be in thermal equilibrium with the surrounding gas. The behaviour of the system as the current goes to zero was examined but no firm conclusions could be draw.C.J.W. BrewardS.J. ChapmanA.A. LaceyJ.R. Ockendon2014-03-19T23:49:30Z2015-05-29T20:16:37Zhttp://www.maths-in-industry.org/miis/id/eprint/650This item is in the repository with the URL: http://www.maths-in-industry.org/miis/id/eprint/6502014-03-19T23:49:30ZElectro-paintingA mathematical model for electro-painting is developed and analysed. Several sub-problems are studied analytically and numerically.E. J. HinchS.D. HowisonA.A. Lacey