Blood Flow Through a One-point Stenosed Artery: Reynolds Number Effects | Chapter 02 | Theory and Applications of Mathematical Science Vol. 1

This paper studies the effects of Reynolds number on the oscillating flow in through a one-point stenosed artery. The nonlinear equations governing the flow are solved analytically by the method of perturbation series solutions. Expressions for the velocities and wall shear stress are obtained and analyzed graphically. It is found that increase in the Reynolds number increases the velocities and wall shear stress. Similarly, it is seen that a flow separation occurs in the radial velocity flow structure.

Author(s) Details

W. I. A. Okuyade
Department of Mathematics, University of Port Harcourt, Port Harcourt, Nigeria.

Prof. T. M. Abbey
Department of Physics, Applied Mathematics and Theoretical Physics Group, University of Port Harcourt, Port Harcourt, Nigeria.

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Magic Polygons and Degenerated Magic Polygons: Characterization and Properties | Chapter 01 | Theory and Applications of Mathematical Science Vol. 1

In this work we define Magic Polygons P(n; k) and Degenerated Magic Polygons D(n; k) and we obtain their main properties, such as the magic sum and the value corresponding to the root vertex. The existence of magic polygons P(n; k) and degenerated magic polygons D(n; k) are discussed for certain values of n and k:

Author(s) Details

Danniel Dias Augusto
Coordenacao da Matematica, Universidade Estadual do Goias, Unidade Universitaria de Formosa, 73807-250, Formosa – GO, Brazil.

Josimar da Silva Rocha
Departamento de Matematica, Universidade Tecnologica Federal do Parana, Campus Cornelio Procopio, 86300-000, Cornelio Procopio – PR, Brazil.

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