Flow of a fourth grade fluid between rotating disks

2020 ◽  
Vol 34 (10) ◽  
pp. 2050091
Author(s):  
A. M. Siddiqui ◽  
Ayesha Sohail ◽  
Khush Bakhat Akram ◽  
Qurat-ul-Ain Azim
Keyword(s):  
Nonlinear Models ◽  
Fluid Model ◽  
Three Dimensional ◽  
Fourth Grade ◽  
Perturbation Approach ◽  
Rotating Disks ◽  
Highly Nonlinear ◽  
Rotating Surface ◽  
Grade Fluid ◽  
Fourth Grade Fluid

Flow of fluids between rotating surface is encountered in many industrial, manufacturing, mixing and biological processes. These fluids are complex, exhibit various rheological characteristics, and thus follow highly nonlinear models. In this paper, we have used fourth grade fluid model to represent fluids involved in such processes. The steady flow between two coaxial rotating disks is modeled. The resulting highly nonlinear equations are solved using perturbation approach. The velocity field in three-dimensional cylindrical coordinate system is reported. The results are then simulated to present a visual understanding of the flow.

scholarly journals Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Taha Aziz ◽  
A. Fatima ◽  
F. M. Mahomed
Keyword(s):  
Differential Equation ◽  
Shock Wave ◽  
Partial Differential Equation ◽  
Wave Solution ◽  
Fluid Model ◽  
Nonlinear Partial Differential Equation ◽  
Fourth Grade ◽  
Shock Wave Solution ◽  
Grade Fluid ◽  
Fourth Grade Fluid

This study focuses on obtaining a new class of closed-form shock wave solution also known as soliton solution for a nonlinear partial differential equation which governs the unsteady magnetohydrodynamics (MHD) flow of an incompressible fourth grade fluid model. The travelling wave symmetry formulation of the model leads to a shock wave solution of the problem. The restriction on the physical parameters of the flow problem also falls out naturally in the course of derivation of the solution.

Sign in / Sign up

Export Citation Format

Share Document