Pulsatile flow of a two-fluid model for blood flow through arterial stenosis.
Sankar, D.S. (2010)
Mathematical Problems in Engineering
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Sankar, D.S. (2010)
Mathematical Problems in Engineering
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A. Hakim (1994)
Extracta Mathematicae
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This work is concerned with the study of the flow of an incompressible viscoelastic fluid of White-Metzner type. These models lead to systems of partial differential equations that are evolutionary, are globally well posed. The objective of this article is to prove the local and global existence of solutions of these systems.
Irene Daprà, Giambattista Scarpi (2004)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We present an analytical solution of plane motion for a Bingham fluid initially at rest subjected to a suddenly applied constant pressure gradient. Using the Laplace transform we obtain expressions which allow a direct easy calculation of the velocity, of the plug thickness and of the rate of flow as function of time.
Fernando Carapau, Adélia Sequeira (2008)
Banach Center Publications
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Using a one-dimensional hierarchical model based on the Cosserat theory approach to fluid dynamics we can reduce the full 3D system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible second-grade viscous fluid to a system of equations depending on time and on a single spatial variable. From this new system we obtain the steady relationship between average pressure gradient and volume flow rate over a finite section of a straight constricted tube, and...
Rosar, M. E., Peskin, Charles S. (2001)
The New York Journal of Mathematics [electronic only]
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Viana, F., Funada, T., Joseph, D.D., Tashiro, N., Sonoda, Y. (2005)
Journal of Applied Mathematics
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Erdoğan, M.Emin, İmrak, C.Erdem (2008)
Mathematical Problems in Engineering
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Elshahed, Moustafa, Haroun, Mohamed H. (2005)
Mathematical Problems in Engineering
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Sankar, D.S., Lee, Usik (2010)
Mathematical Problems in Engineering
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