Papers by Stephen Hibberd
Journal of Engineering for Gas Turbines and Power, 2016
International Journal of Rotating Machinery
MSOR Connections, 2006
... Michael Grove Network Manager MSOR University of Birmingham [email protected] Hibbe... more ... Michael Grove Network Manager MSOR University of Birmingham [email protected] Hibberd School of Mathematical Sciences University of Nottingham stephen.hibberd@ nottingham.ac.uk A Response to the Royal Society paper: Science Higher Education in ...
Computational Technologies for Fluid/Thermal/Structural/Chemical Systems With Industrial Applications, Volume 1, 2002
MSOR Connections, 2004
LTSN Maths, Stats & OR Network Workshop: Sharing of Projects Practice, 12 November 2003, Univ... more LTSN Maths, Stats & OR Network Workshop: Sharing of Projects Practice, 12 November 2003, Univ. of York Mathematics Works? integration of graduate skills Dr Stephen Hibberd School of Mathematical Sciences University of Nottingham Sharing of Project Practice Page 2. ...
MSOR Connections, 2005
An area of learning that has great potential in developing mathematical skills and wider (graduat... more An area of learning that has great potential in developing mathematical skills and wider (graduate) skills is that of incorporating significant project-based activities within the curriculum. Most mathematics courses do include some elements of project work but the ...
Studies in Educational Evaluation, 1996
Journal of Engineering for Gas Turbines and Power, 2008
Computational Technologies for Fluid/Thermal/Structural/Chemical Systems With Industrial Applications, Volume 1, 2002
International Journal of Multiphase Flow, Jun 30, 1995
Experimental results are presented for the phase split which occurs at a T-junction made up of 0.... more Experimental results are presented for the phase split which occurs at a T-junction made up of 0.125 m diameter pipes all on the same horizontal plane. Measurements were performed in the stratified and annular flow regimes and near the boundary of stratified-annular flow. A new phenomenological model is presented to determine the phase split of low liquid hold-up (
Physics of Fluids, May 1, 2006
The effect of surface shear stress on the two-dimensional flow of a thin film over a rectangular ... more The effect of surface shear stress on the two-dimensional flow of a thin film over a rectangular cavity is investigated by the numerical simulation of the problem in terms of its corresponding Stokes formulation. The integral representation of the problem is numerically solved by a direct boundary element method (BEM) with primitive variables of velocity and surface traction. For cases in which the applied surface shear and the gravity act in opposite directions, in such a way that the resulting flow is in the direction of the applied shear (ascending film), it is shown that more than one steady-state film profile may exist for a given flux and geometry of the cavity. An investigation into the effect of the cavity depth on these profiles is determined by separating the cavity into a step-up and a step-down flow. For the step-down flow configuration more than one film profiles exists for a given set of flux, surface shear, and inclination angle. However, for step-up flows, it is observed that for a given set of parameters, there exists a maximum ascending flux for the flow to overcome the step. For greater flux values, the solution always tends to one in which the flux is reduced to that of the maximum flux and results in a common asymptotic steady-state surface profile. For a flux lower than or equal to that of the maximum flux, more than one steady-state film profiles can exist. Based on the numerical results for the single step-up/step-down flows, feasible steady-state profiles for a film flow over a rectangular cavity are constructed.
Ima Journal of Mathematics Applied in Medicine and Biology, Jun 1, 1998
A general model is presented for the release of drug from porous nonswelling, transdermal drug-de... more A general model is presented for the release of drug from porous nonswelling, transdermal drug-delivery devices and it is shown to reduce to previously proposed models in suitable limits. The processes which govern the release of drug are considered to be diffusion of dissolved drug and dissolution of dispersed drug, both in the body of the device and in the device pores, and transfer of drug between the two domains. In the classical limit of large dissolution rates, the problem reduces to one of the moving-boundary type, and solution of this problem in the case where the initial drug loading is much greater than the drug solubility in the device yields expressions for the flux of drug to a perfect sink (modelling in vitro conditions). It is shown that behaviour greatly differing from the classical first-order drug delivery (alpha t 1/2) may be exhibited, depending upon the parameter regime. In some situations the dissolution rates may not be so large and solutions of the general model are derived in the case where the dispersed drug is considered to be undepleted and the diffusivity in the solvent-filled pores is much larger than in the body of the delivery device. Numerical studies are undertaken, and the coupling of delivery device and skin-diffusion models (in order to model the complete transdermal drug-delivery process) is also considered.
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Papers by Stephen Hibberd