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Showing papers on "Herschel–Bulkley fluid published in 1973"


Journal ArticleDOI
TL;DR: In this article, a momentum equation identical in form to that of the familiar Navier-Stokes fluid, was derived for the fluid condensate of a weakly interacting Bose gas.
Abstract: It is shown that a momentum equation identical in form to that of the familiar Navier-Stokes fluid, can be derived for the fluid condensate of a weakly interacting Bose gas. For the condensate the pressure is given by the simple barotropic relation p= rho 2/4, while the anisotropic stress tensor sigma ij' depends only on the density and density of gradients.

37 citations


01 Jun 1973
TL;DR: In this article, a finite difference formulation of the Navier-Stokes equations in the primitive variables is solved in a large box several times the size of the mixed region, which conserves total energy in the box in the special case where the viscosity is zero.
Abstract: : The collapse of a homogeneous fluid mass immersed in a stably stratified fluid is studied numerically. A finite difference formulation of the Navier-Stokes equations in the primitive variables is solved in a large box several times the size of the mixed region. The formulation conserves total energy in the box in the special case where the viscosity is zero. The shape of the homogeneous region and its energy content are followed in detail. Confirming a previous speculation made from a crude analytical theory, most of the energy in the homogeneous fluid mass is shown to be transferred to the exterior fluid in one Brunt-Vaisala period. The predictions agree with available analytical models in initial and intermediate stages and with a previous tank experiment in the intermediate and late stages of collapse.

7 citations



Journal ArticleDOI
TL;DR: In this article, a model of the near-wall turbulent fluid flow with stress relaxation and aftereffects is proposed, and it is shown that a large reduction in the friction drag and heat transfer occurs.
Abstract: A model description of the near-wall turbulent fluid flow with stress relaxation and aftereffect is proposed. It is shown that a large reduction in the friction drag and heat transfer occurs.

3 citations


Journal ArticleDOI
TL;DR: In this article, a continuum model of an interface in a one-component fluid is developed in the special case when the fundamental equation of the fluid may be written in the local form F = F (θ,p,(∇p) 2, ∇ 2 p) where P may be regarded as a thermodynamic pressure.

2 citations


Journal ArticleDOI
TL;DR: In this article, the problem of the drag on solid bodies by the flow of a viscous incompressible fluid in an infinite cylindrical tube is solved numerically, and it is observed that the drag process is optimal, in the sense of loss of kinetic energy by viscous friction.
Abstract: THE problem of the drag on solid bodies by the flow of a viscous incompressible fluid in an infinite cylindrical tube is solved numerically. It is observed that the drag process is optimal, in the sense of loss of kinetic energy by viscous friction, in a fairly large volume of the fluid containing the moving body, in the class of flows of a viscous fluid occurring in the motion of bodies along a tube at constant velocity. The problems of the drag in an infinite cylindrical tube by the flow of an incompr incompressible fluid possessing a Poiseuille velocity distribution at infinity, on a single particle and on two connected particles of cylindrical shape whose axes are the same as the axis of the tube, were solved numerically in [1–3]. For the composite body the interaction between the parts of the body occurring during the free motion of the solid body were studied. We recall briefly the formulation of the problem. We call the drag velocity or the velocity of the free motion of a solid body in a viscous fluid, that velocity for which the sum of the forces acting on the body is zero. The problem of the uniform motion of the body in the fluid relative to a laboratory coordinate system is non-stationary. On passing to an inertial coordinate system rigidly attached to the moving body, the motion with respect to this coordinate system becomes stationary.

Journal ArticleDOI
TL;DR: In this paper, an approximate solution to the problem of fluid flow through a pipe with orifices is presented, which is in close agreement with the solution obtained numerically, and is based on the solution presented in this paper.
Abstract: An approximate solution is obtained to the problem of fluid flow through a pipe with orifices, in close agreement with the solution obtained numerically