Pulsatile flow of Jeffrey fluid in a porous elastic tube with variable cross-section under the effect of magnetic field

2018 ◽  
Vol 8 ◽  
pp. 439-447 ◽  
Author(s):  
C.K. Selvi ◽  
A.N.S. Srinivas
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Pulsatile Flow ◽  
Variable Cross Section ◽  
Elastic Tube ◽  
Jeffrey Fluid ◽  
Variable Cross

scholarly journals Oscillatory flow of a Casson fluid in an elastic tube with variable cross section

2018 ◽  
Vol 3 (2) ◽  
pp. 571-582 ◽  
Author(s):  
C.K. Selvi ◽  
A.N.S. Srinivas
Keyword(s):  
Pressure Gradient ◽  
Pressure Distribution ◽  
Cross Section ◽  
Oscillatory Flow ◽  
Axial Direction ◽  
Variable Cross Section ◽  
Casson Fluid ◽  
Elastic Parameter ◽  
Elastic Tube ◽  
Variable Cross

AbstractThe aim of this paper was to study an oscillatory flow of a Casson fluid through an elastic tube of variable cross section. The radial displacement of tube wall is taken into consideration. The problem is modelled under the assumption that the variation of the cross section of the tube is slow in the axial direction. Cylindrical coordinate system is chosen to study the problem. The analytical expressions for axial velocity and mass flux as a function of pressure gradient are obtained. The change in pressure distribution for various pressure****radius relationships is analyzed by considering different geometries. The effects of elastic parameter, Womersley parameter and Casson parameter on excess pressure and pressure gradient along axial direction are discussed through graphs. The results reveal that the elastic parameter plays a key role in the variation of pressure along the tube. Womersley parameter has significant effect on pressure distribution. Another important observation is that the amplitude of pressure increases for growing values of Casson parameter for both tapered and constricted tubes. In addition, the pressure oscillates more for the case of locally constricted tube when compared to other geometries.

Plasma-Konfigurationen mit Oberflächenströmen, die von einem Magnetfeld im Gleichgewicht gehalten werden

1958 ◽  
Vol 13 (4) ◽  
pp. 260-267
Author(s):  
R. Kippenhahn
Keyword(s):  
Magnetic Field ◽  
Cross Section ◽  
Axial Symmetry ◽  
Constant Pressure ◽  
Circular Cross Section ◽  
Variable Cross Section ◽  
Surface Currents ◽  
Variable Cross ◽  
Geometrical Properties ◽  
Variable Diameter

Configurations of a plasma with constant pressure and with surface-currents are examined which are in equilibrium with a exterior magnetic potential-field. With the aid of an existence-theorem from the theory of partial differential equations the question of the existence of such configurations is reduced to differential-geometrical properties of the surface of the plasma. These properties are then investigated for the torus of circular cross-section with an interior azimutal magnetic field and for a surface of axial symmetry with variable diameter. Finally a torus of variable cross-section is treated approximately.

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