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Modeling Blood Flow in Veins of Uniform Properties (Giraffe Jugular Vein)

Open Journal of Biophysics 2024年第2期14卷 132-153页

作者： rogers omboga amenya Johanna Kibet Sigey Geoffrey Moriaso Ole Maloiy David Mwangi Theuri Department of Mathematics and Physical Sciences Dedan Kimathi University of Technology Nyeri Kenya Department of Pure and Applied Mathematics School of Mathematical Sciences Jomo Kenyatta Unversity of Agriculture and Technology Kisii Kenya Institute of Animal Physiology and Biotechnology Research University of Nairobi Nairobi Kenya

This paper models the giraffe’s jugular veins as a uniform collapsible tube from a rigid skull. The equations governing one-dimensional steady flow through such a tube for various conditions have been developed. The effects of inertial and inclination angles that have not been discussed previously have been included. It has been shown that different flows for a uniform tube (vein) are possible. However, this flow matches that of a jugular vein which is supercritical, and the steady solution has been given by the balance between the driving forces of gravity and the viscous resistance to the flow at the right atrium of the heart must be sub-critical for a fixed right-atrium pressure which means that an elastic jump is required to return the flow to sub-critical from the supercritical flow upstream this type of relationship gives rise to flow limitation at the same time given any right atrium fixed pressure there exists a maximum flow rate which when exceeded the boundary conditions of the flow do not hold boundary conditions at the right atrium are not satisfied hence making the steady flow impossible this mechanism of flow limitation is slightly different from the other one in that causes airways through forced expiration from the observation made it is clearly shown that there is an intravascular pressure difference with a change in height.

关键词： Blood Flow Jugular Vein Cross-Sectional Area Supercritical Subcritical Jump

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Unsteady Viscous Dissipative Flow of Salty Water in the Presence of a Magnetic Field in a Semi-Infinite Porous Medium

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Journal of Applied Mathematics and Physics 2021年第5期9卷 931-940页

作者： Ronald Nyabuto rogers omboga amenya Jeconniah Abonyo Okelo Department of Pure and Applied Mathematics Jomo Kenyatta University of Agriculture and Technology Juja Kenya Department of Mathematical and Physical Sciences Dedan Kimathi University of Technology Nyeri Kenya

In this paper, an investigation of unsteady free convective magneto-hydro dynamic (MHD) flow of salty water in the presence of a transverse magnetic field has been carried out. An electrically conducting and incompressible fluid is assumed to flow past a semi-infinite vertical porous plate. A constant magnetic field is applied normally to the vertical plate. The Prandtl numbers for salt water are taken to be 1 at 20˚C. The governing equations of the problem contain non-linear partial differential equations that are transformed into ordinary differential equations. An explicit finite difference scheme has been used to solve the transformed ordinary equations generated from this flow problem. The velocity profiles and temperature distribution of the flow field have been discussed and presented graphically.

关键词： Viscous Dissipative Porous Medium Unsteady

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Effect of Head Position Angles on the Blood Flow in the Jugular Vein of Giraffes

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World Journal of Mechanics 2021年第8期11卷 165-175页

作者： rogers omboga amenya Johanna Kibet Sigey Geoffrey Moriaso Ole Maloiy David Mwangi Theuri Department of Mathematics and Physical Sciences Dedan Kimathi University of Technology Nyeri Kenya Department of Pure and Applied Mathematics Jomo Kenyatta University of Agriculture and Technology Juja Kenya Department of Animal Physiology and Biotechnology University of Nairobi Nairobi Kenya

The study investigated the effect of the angular position of the head on the blood flow in the jugular vein of giraffes. The vein considered is elastic and collapsible such that its cross-sectional area is not uniform. Transmural pressure causes the blood to move along the vein. Mathematical equations describing the flow were developed, and the vein was considered to be inclined at an angle φ to the horizontal. A finite-difference scheme was used to solve the equations of motion for the flow. The results are presented via relevant tables and plots. Our findings show that a change in the position of the head causes variation in the external pressure, which in turn causes variation in the cross-sectional area of the vein. Moreover, a drop (or increase) in the inertial pressure of the blood may cause the vein to collapse (or distend), which again triggers a change in the pressure.

关键词： Venous Flow Hemodynamics Collapsible Vein Blood Pressure Jugular Vein

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