Hydroelastic instability of viscoelastic fluids in developing flow through a compliant channel

2020 ◽  
Vol 32 (2) ◽  
pp. 99-119
Author(s):  
Morteza Safarifard ◽  
Zahra Aghaee ◽  
Mohammad Pourjafar ◽  
Solmaz Bazargan ◽  
Kayvan Sadeghy
Author(s):  
Farhan Ahmed

This article shows the thermally developing flow through concentric pipes annular sector duct by describing the Darcy Brinkman flow field. The cross sectional convection-diffusion terms are transformed in power law discretized form by integrating over the differential volume, whereas backward difference scheme is used in the axial direction of heat flow. With the help of semi implicit method for pressure linked equations-revised ( SIMPLE-R), we get the solution of the governing problem. The graphs of velocity profiles against R and average Nusselt number against axial distance are plotted for different values of Darcy number and geometrical configuration parameters. It has been pointed out that velocity and thermal entrance length decrease, when we decrease the value of Darcy number. By decreasing the cross section of the concentric pipes annular sector duct in the transverse direction, thermally fully developed flow region develops earlier.


2004 ◽  
Author(s):  
Mauricio Lane ◽  
Moˆnica F. Naccache ◽  
Paulo R. Souza Mendes

In this work, the flow of viscoelastic fluids through axisimmetric converging-diverging channels is analyzed. The solution of mass and momentum conservation equations is obtained numerically via finite volume technique using the Fluent software. The Generalized Newtonian Fluid constitutive equation was used to model the non-Newtonian fluid behavior, using the Shunk-Scriven model for the viscosity, where a weighted geometric mean between shear and extensional viscosities is assumed. The results of pressure drop are compared to the ones predicted by a previously proposed simplified relation (Souza Mendes and Naccache, 2002) between pressure drop and flow rate, for viscoelastic fluids flow through porous media, in order to analyze its performance.


2007 ◽  
Vol 53 (1) ◽  
pp. 9-15
Author(s):  
Takehiro YAMAMOTO ◽  
Ryusuke KIMOTO

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