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15 Result(s)

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  1. No Access

    Article

    Newtonian flow with nonlinear Navier boundary condition

    The generalized nonlinear Navier boundary condition advocated by Thompson and Troian in the journal Nature, and motivated from molecular dynamical simulations, is applied to the conventional continuum mechanical ...

    M. T. Matthews, J. M. Hill in Acta Mechanica (2007)

  2. No Access

    Chapter and Conference Paper

    Modelling the Thermal Conductivity of Nanofluids

    The interaction of nano particulates with conventional materials generally has the effect of dramatically changing all the physical parameters of the material, which normally characterize the bulk material. Th...

    P. Tillman, J. M. Hill in IUTAM Symposium on Mechanical Behavior and… (2007)

  3. No Access

    Chapter

    Mathematics and mechanics of granular materials

    J.M. Hill, A.P.S. Selvadurai in Mathematics and Mechanics of Granular Materials (2005)

  4. No Access

    Chapter

    Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers

    Under certain circumstances, an industrial hopper which operates under the “funnel-flow” regime can be converted to the “mass-flow” regime with the addition of a flow-corrective insert. This paper is concerned...

    G.M. Cox, S.W. Mccue, N. Thamwattana… in Mathematics and Mechanics of Granular Mate… (2005)

  5. No Access

    Article

    A formal exact mathematical solution for a slo** rat-hole in a highly frictional granular solid

    This paper provides a formal exact analytical solution to a rat-hole with a slo** base in two and three dimensions for a highly frictional granular material. A rat-hole is the general term used to describe t...

    G. M. Cox, J. M. Hill, N. Thamwattana in Acta Mechanica (2004)

  6. No Access

    Article

    Analytical stress and velocity fields for gravity flows of highly frictional granular materials

    For granular materials the Coulomb-Mohr yield condition characterizes the two physical processes of inter-particle cohesion and inter-particle friction. The latter effect is quantified by the so-called angle o...

    N. Thamwattana, J. M. Hill in Acta Mechanica (2003)

  7. No Access

    Article

    Rat-hole stress profiles for shear-index granular materials

    The formation of stable circular and almost vertical cylindrical holes in stockpiles and hoppers is a familiar phenomena in granular material industries and is often the cause of serious disruption to the indu...

    J. M. Hill, G. M. Cox in Acta Mechanica (2002)

  8. No Access

    Article

    Non-dilatant double-shearing theory applied to dynamical granular chute flow

    The non-dilatant double-shearing theory for granular flow is applied to the problem of dynamical chute flow down an inclined slope. Four distinct families of solutions are examined and a number of simple exact...

    G. M. Cox, J. M. Hill in Acta Mechanica (2002)

  9. No Access

    Chapter and Conference Paper

    The Double-Shearing Velocity Equations for Dilatant Shear-Index Granular Materials

    Modelling the flow of a granular material constitutes one of the outstanding problems of continuum mechanics, for which there is little general agreement on the governing mathematical equations. This is becaus...

    J. M. Hill in IUTAM Symposium on Mechanics of Granular and Porous Materials (1997)

  10. No Access

    Article

    Dilatant double shearing theory applied to granular chute flow

    Although the steady flow of a granular material down a plane inclined slope has been exhaustively examined from both theoretical and experimental points of view, there is still no general agreement concerning ...

    J. M. Hill, X. M. Zheng in Acta Mechanica (1996)

  11. No Access

    Chapter and Conference Paper

    Double-Shearing Theory for Dilatant Granular Materials

    Granular materials constitute the one commodity which genuinely im**es on almost every aspect of human life, ranging from our everyday activities in the home and at work through to the forefront of science a...

    J. M. Hill in IUTAM Symposium on Anisotropy, Inhomogenei… (1995)

  12. No Access

    Article

    On a nonlinear stefan problem arising in the continuous casting of steel

    The continuous casting process employed in the steel industry is a many faceted “big” industrial problem which has given rise to many sub-problems. Here, we examine the problem involving the determination of t...

    J. M. Hill, Y. -H. Wu in Acta Mechanica (1994)

  13. No Access

    Article

    Utilization of nonlinear diffusion solutions forn-diffusion and power-law materials

    The equation ofn-diffusion, as originally formulated by J. R. Philip for various problems involving unsteady turbulent flows, applies directly to the one-dimensional flow of a non-Newtonian power-law fluid as wel...

    D. L. Hill, J. M. Hill in Acta Mechanica (1992)

  14. No Access

    Article

    Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature

    The classical two phase Stefan problems for spheres, cylinders and slabs do not, in general, admit exact solutions. For a number of genuine two phase moving boundary problems involving these geometries integra...

    J. N. Dewynne, J. M. Hill in Acta Mechanica (1986)

  15. No Access

    Article

    On the solution of boundary value problems for fourth order diffusion

    Higher order non-Fickean diffusion theories involve solving a fourth order linear partial differential equation. The purpose of this paper is to indicate available methods for the solution of typical boundary ...

    A. I. Lee, J. M. Hill in Acta Mechanica (1983)