Two-fluid mathematical models for blood flow in stenosed arteries: a comparative study.
Sankar, D.S., Ismail, Ahmad Izani (2009)
Boundary Value Problems [electronic only]
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Sankar, D.S., Ismail, Ahmad Izani (2009)
Boundary Value Problems [electronic only]
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Sankar, D.S., Lee, Usik (2010)
Mathematical Problems in Engineering
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Sankar, D.S. (2010)
Mathematical Problems in Engineering
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V. A. Shlychkov (2009)
Mathematical Modelling of Natural Phenomena
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Mathematical modeling provides a particularly important tool for studying the stream runoff formation processes, and its role is enhanced in the case of a sparse, obsolete monitoring network characteristic of most regions of Siberia. When analyzing spatio-temporal regularities of the water and sediment runoff in river systems, serious problems are caused by lack of the basic hydrological model capable of handling real-time data of hydrological measurements. Calculations of unsteady...
Sai Manikiran Garimella, Mohan Anand, Kumbakonam R. Rajagopal (2022)
Applications of Mathematics
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A new model is proposed to mimic the response of a class of seemingly viscoplastic materials. Using the proposed model, the steady, fully developed flow of the fluid is studied in a cylindrical pipe. The semi-inverse approach is applied to obtain an analytical solution for the velocity profile. The model is used to fit the shear-stress data of several supposedly viscoplastic materials reported in the literature. A numerical procedure is developed to solve the governing ODE and the procedure...
Watanabe, Masaji, Kono, Yukio, Suito, Hiroshi (2004)
International Journal of Mathematics and Mathematical Sciences
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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...