scholarly journals Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model

2017 ◽  
Vol 450 (2) ◽  
pp. 1123-1143 ◽  
Author(s):  
Jing Jin ◽  
Ran Duan
2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
S. S. Ravindran

Micropolar fluid model consists of Navier-Stokes equations and microrotational velocity equations describing the dynamics of flows in which microstructure of fluid is important. In this paper, we propose and analyze a decoupled time-stepping algorithm for the evolutionary micropolar flow. The proposed method requires solving only one uncoupled Navier-Stokes and one microrotation subphysics problem per time step. We derive optimal order error estimates in suitable norms without assuming any stability condition or time step size restriction.


Author(s):  
Usman ◽  
M. Ijaz Khan ◽  
Sami Ullah Khan ◽  
Abuzar Ghaffari ◽  
Yu-Ming Chu ◽  
...  

This communication aims to develop the thermal flow model for generalized micropolar nanofluid with insensitive applications of bioconvection, activation energy and nonlinear thermal radiation. The generalized micropolar fluid model is the extension of traditional micropolar fluid model with viscoelastic relations. The viscous nature of non-Newtonian micropolar material can be successfully predicted with help of this model. The motivating idea for considering the motile microorganisms is to control the nanoparticles suspension effectively. The higher order slip relations are incorporated to examine the bio-convective phenomenon. The simplified coupled equations in terms of non-dimensional variables are numerically treated with shooting scheme. The reliable graphical outcomes are presented for flow parameters governed to the transported problem. The flow pattern of each parameter is highlighted in view of viscous nature of micropolar fluid.


2017 ◽  
Vol 87 ◽  
pp. 51-63 ◽  
Author(s):  
Hesam Moayedi ◽  
Nima Amanifard ◽  
Hamed Mohaddes Deylami ◽  
Farid Dolati

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