Global existence criteria for Sisko fluid in annular region

2017 ◽  
Vol 95 (8) ◽  
pp. 753-760
Author(s):  
S. Rahman ◽  
N. Khan ◽  
T. Hayat ◽  
B. Ahmad
Keyword(s):  
Global Existence ◽  
Unsteady Flow ◽  
Global Regularity ◽  
Annular Region ◽  
Regularity Criteria ◽  
Sisko Fluid ◽  
Annular Pipe ◽  
Existence Criteria

The aim of present paper is to establish the global regularity criteria for flow of Sisko fluid in an annular pipe. This work is an extension of our previous work[ 27 ]. In this paper we consider unsteady flow of magnetohydrodynamic (MHD) Sisko fluid and obtain the existence criteria for higher norm.

scholarly journals Global regularity for unsteady flow of third grade fluid in an annular region

2016 ◽  
Vol 40 ◽  
pp. 728-739
Author(s):  
Saeed ur RAHMAN ◽  
Tasawar HAYAT ◽  
Hamed H. ALSULAMI
Keyword(s):  
Unsteady Flow ◽  
Global Regularity ◽  
Annular Region ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

Global regularity for the 2D liquid crystal model with mixed partial viscosity

2015 ◽  
Vol 13 (02) ◽  
pp. 185-200 ◽  
Author(s):  
Jishan Fan ◽  
Faris Saeed Alzahrani ◽  
Tasawar Hayat ◽  
Gen Nakamura ◽  
Yong Zhou
Keyword(s):  
Liquid Crystal ◽  
Global Existence ◽  
Global Regularity ◽  
Strong Solutions ◽  
Regularity Criteria ◽  
Crystal Model

This paper proves the global existence of strong solutions of the 2D liquid crystal model when ν1= k2= 0, ν2= k1= 1 or ν1= k2= 1, ν2= k1= 0. We also prove some regularity criteria when ν1= k1= 1, ν2= k2= 0 or ν1= k1= 0, ν2= k2= 1.

Global regularity for unsteady flow of MHD Sisko fluid in a porous medium

2016 ◽  
Vol 94 (12) ◽  
pp. 1297-1304 ◽  
Author(s):  
S. Rahman ◽  
T. Hayat ◽  
B. Ahmad
Keyword(s):  
Porous Medium ◽  
Unsteady Flow ◽  
Incompressible Fluid ◽  
Classical Solution ◽  
Homogeneous Space ◽  
Global Regularity ◽  
Classical Solutions ◽  
Main Interest ◽  
Sisko Fluid ◽  
Unidirectional Flow

The aim of the present paper is to establish the global regularity of classical solution for unidirectional flow of magnetohydrodynamic (MHD) Sisko fluid. The fluid is taken between two rigid plates. An incompressible fluid saturates the porous medium. The main interest in this paper is to establish the global regularity of classical solutions when [Formula: see text], [Formula: see text], and [Formula: see text] are sufficiently small. In addition, uniqueness of the classical solution is also verified. Here BMO denotes the homogeneous space of bounded mean oscillations, V is the velocity, u is the x-component of velocity, and [Formula: see text] is the vorticity.

Global regularity for MHD Sisko fluid in annular pipe

2016 ◽  
Vol 7 (4) ◽  
pp. 417-435 ◽  
Author(s):  
S. Rahman ◽  
T. Hayat ◽  
B. Ahmad
Keyword(s):  
Global Regularity ◽  
Sisko Fluid ◽  
Annular Pipe

scholarly journals On Regularity Criteria for the Two-Dimensional Generalized Liquid Crystal Model

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yanan Wang ◽  
Zaihong Jiang
Keyword(s):  
Liquid Crystal ◽  
Global Existence ◽  
Existence Results ◽  
Regularity Criteria ◽  
Two Dimensional ◽  
Crystal Model

We establish the regularity criteria for the two-dimensional generalized liquid crystal model. It turns out that the global existence results satisfy our regularity criteria naturally.

scholarly journals Global Regularity for the 2D Micropolar Fluid Flows with Mixed Partial Dissipation and Angular Viscosity

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Zujin Zhang
Keyword(s):  
Global Existence ◽  
Existence And Uniqueness ◽  
Micropolar Fluid ◽  
Global Regularity ◽  
Fluid Flows ◽  
Classical Solutions ◽  
Partial Dissipation ◽  
Global Existence And Uniqueness

This paper establishes the global existence and uniqueness of classical solutions to the 2D micropolar fluid flows with mixed partial dissipation and angular viscosity.

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