scholarly journals Thermal Radiation and Chemical Reaction Effects on Unsteady Magnetohydrodynamic Third Grade Fluid Flow Between Stationary and Oscillating Plates

2019 ◽  
Vol 24 (2) ◽  
pp. 269-293
Author(s):  
A.S. Idowu ◽  
U. Sani
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Third Grade ◽  
Physical Parameters ◽  
Parallel Plates ◽  
Third Grade Fluid ◽  
Grade Fluid

Abstract An analysis was carried out for an unsteady magnetohydrodynamic(MHD) flow of a generalized third grade fluid between two parallel plates. The fluid flow is a result of the plate oscillating, moving and pressure gradient. Three flow problems were investigated, namely: Couette, Poiseuille and Couette-Poiseuille flows and a number of nonlinear partial differential equations were obtained which were solved using the He-Laplace method. Expressions for the velocity field, temperature and concentration fields were given for each case and finally, effects of physical parameters on the fluid motion, temperature and concentration were plotted and discussed. It is found that an increase in the thermal radiation parameter increases the temperature of the fluid and hence reduces the viscosity of the fluid while the concentration of the fluid reduces as the chemical reaction parameter increases.

Impact of chemical reaction on third grade fluid flow with Cattaneo-Christov heat flux

2017 ◽  
Vol 229 ◽  
pp. 501-507 ◽  
Author(s):  
Maria Imtiaz ◽  
Ahmed Alsaedi ◽  
Anum Shafiq ◽  
Tasawar Hayat
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Chemical Reaction ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals Shock Wave Solutions for Some Nonlinear Flow Models Arising in the Study of a Non-Newtonian Third Grade Fluid

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Taha Aziz ◽  
R. J. Moitsheki ◽  
A. Fatima ◽  
F. M. Mahomed
Keyword(s):  
Shock Wave ◽  
Differential Equations ◽  
Fluid Model ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Flow ◽  
Third Grade ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Wave Solutions ◽  
Grade Fluid

This study is based upon constructing a new class of closed-form shock wave solutions for some nonlinear problems arising in the study of a third grade fluid model. The Lie symmetry reduction technique has been employed to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations. The reduced equations are then solved analytically, and the shock wave solutions are constructed. The conditions on the physical parameters of the flow problems also fall out naturally in the process of the derivation of the solutions.

scholarly journals A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Taha Aziz ◽  
F. M. Mahomed
Keyword(s):  
Differential Equations ◽  
Numerical Solutions ◽  
Nonlinear Partial Differential Equations ◽  
Fluid Flows ◽  
Third Grade ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Grade Fluid ◽  
Physical Boundary ◽  
Steady State Solutions

In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations. We obtain some simple closed-form steady-state solutions of these reduced equations. Our solutions are valid for the whole domain [0,∞) and also satisfy the physical boundary conditions. We also present the numerical solutions for some of the underlying equations. The graphs corresponding to the essential physical parameters of the flow are presented and discussed.

scholarly journals Effect of Joule Heating and Thermal Radiation in Flow of Third Grade Fluid over Radiative Surface

PLoS ONE ◽  
2014 ◽  
Vol 9 (1) ◽  
pp. e83153 ◽  
Author(s):  
Tasawar Hayat ◽  
Anum Shafiq ◽  
Ahmed Alsaedi
Keyword(s):  
Thermal Radiation ◽  
Joule Heating ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

Thin Film Flow of a Third Grade Fluid with Variable Viscosity

2009 ◽  
Vol 64 (9-10) ◽  
pp. 553-558 ◽  
Author(s):  
Sohail Nadeem
Keyword(s):  
Thin Film ◽  
Film Flow ◽  
Variable Viscosity ◽  
Nonlinear Differential Equations ◽  
Third Grade ◽  
Outer Side ◽  
Physical Parameters ◽  
Third Grade Fluid ◽  
Thin Film Flow ◽  
Grade Fluid

The effects of variable viscosity on the flow and heat transfer in a thin film flow for a third grade fluid has been discussed. The thin film is considered on the outer side of an infinitely long vertical cylinder. The governing nonlinear differential equations of momentum and energy are solved analytically by using homotopy analysis method. The expression for the viscous dissipation and entropy generation are also defined. The graphical results are presented for various physical parameters appearing in the problem

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