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Peripheral layer viscosity effects on periodic blood flow through rigid tube of thin diameter

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TLDR
In this article, a mathematical model for periodic blood flow in a rigid circular tube of thin diameter is presented, which considers core fluid as a casson fluid which is covered by a thin layer of Newtonian fluid (plasma).
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1987-05-15 and is currently open access. It has received 2 citations till now. The article focuses on the topics: Fåhræus–Lindqvist effect & Herschel–Bulkley fluid.

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A Mathematical Model for Pulsating Flow of Ionic Fluid under an Axial Electric Field: EMF Effect on Blood Flow

TL;DR: In this article, a mathematical model for ionic fluid that flows under the effect of both pulsating pressure and axial electromagnetic field is introduced. But the model is based on the Navier-Stokes equation, and the fluid is treated as a neutral mixture of positive and negative ions.
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Nonaxisymmetric wave propagation through a viscous fluid in a viscoelastic tube

TL;DR: The eigensolution of a nonaxisymmetric linear wave propagation through a viscous fluid in a viscoelastic pipe is obtained and shows that nonax Daisymmetric modes decay fast during their propagation.
References
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Journal ArticleDOI

Method for the calculation of velocity, rate of flow and viscous drag in arteries when the pressure gradient is known

TL;DR: The experiments of McDonald and his co-workers have shown that in the larger arteries of the rabbit and the dog there is a reversal of the flow, and the simple mathematical treatment has strong similarities with the theory of the distribution of alternating current in a conductor of finite size.
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The viscosity of the blood in narrow capillary tubes

TL;DR: Objections have been made from a theoretical point of view that the results of investigations of the viscosity of the blood in comparatively wide capillary tubes probably do not apply to the conditions in the narrower parts of the vascular system, whereby these authors especially seem to have had the true capillaries in view.
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Viscometry of human blood for shear rates of 0-100,000 sec-1.

TL;DR: The viscometry of human blood has been represented by a number of empirical equations, including Casson's equation, which has been used for calculating the shear strength of blood and for describing its Viscometry at shear rates below 5 sec−1.
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Unsteady flows in a semi-infinite contracting or expanding pipe

TL;DR: In this article, an exact solution of the Navier-Stokes equation for unsteady flow is a semi-infinite contracting or expanding circular pipe is calculated and reveals the following characteristics of this type of flow.
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