Travelling Wave Solutions for the Unsteady Flow of a Third Grade Fluid Induced Due to Impulsive Motion of Flat Porous Plate Embedded in a Porous Medium

2014 ◽  
Vol 30 (5) ◽  
pp. 527-535 ◽  
Author(s):  
T. Aziz ◽  
F. M. Mahomed ◽  
A. Shahzad ◽  
R. Ali
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Nonlinear Partial Differential Equation ◽  
Porous Plate ◽  
Travelling Wave ◽  
Point Of View ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Physical Point ◽  
Grade Fluid

AbstractThis work describes the time-dependent flow of an incompressible third grade fluid filling the porous half space over an infinite porous plate. The flow is induced due to the motion of the porous plate in its own plane with an arbitrary velocityV(t). Translational type symmetries are employed to perform the travelling wave reduction into an ordinary differential equation of the governing nonlinear partial differential equation which arises from the laws of mass and momentum. The reduced ordinary differential equation is solved exactly, for a particular case, as well as by using the homotopy analysis method (HAM). The better solution from the physical point of view is argued to be the HAM solution. The essentials features of the various emerging parameters of the flow problem are presented and discussed.

Fluctuating flow of a third-grade fluid on a porous plate in a rotating medium

2001 ◽  
Vol 36 (6) ◽  
pp. 901-916 ◽  
Author(s):  
T. Hayat ◽  
Sohail Nadeem ◽  
S. Asghar ◽  
A.M. Siddiqui
Keyword(s):  
Porous Plate ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Rotating Medium ◽  
Grade Fluid

scholarly journals Electro-osmotic flow of a third-grade fluid past a channel having stretching walls

2019 ◽  
Vol 8 (1) ◽  
pp. 56-64 ◽  
Author(s):  
Mamata Parida ◽  
Sudarsan Padhy
Keyword(s):  
Differential Equation ◽  
Boltzmann Equation ◽  
Linear Partial Differential Equation ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Osmotic Flow ◽  
Grade Fluid ◽  
Poisson Boltzmann ◽  
Poisson Boltzmann Equation ◽  
Electro Osmotic Flow

Abstract The electro-osmotic flow of a third grade fluid past a channel having stretching walls has been studied in this paper. The channel height is taken much greater than the thickness of the electric double layer comprising of the Stern and diffuse layers. The equations governing the flow are obtained from continuity equation, the Cauchy’s momentum equation and the Poisson-Boltzmann equation. The Debye-Hückel approximation is adopted to linearize the Poisson-Boltzmann equation. Suitable similarity transformations are used to reduce the resulting non-linear partial differential equation to ordinary differential equation. The reduced equation is solved numerically using damped Newton’s method. The results computed are presented in form of graphs.

Exact solutions of a third grade fluid flow on a porous plate

2008 ◽  
Vol 202 (1) ◽  
pp. 376-382 ◽  
Author(s):  
K. Fakhar ◽  
Zhenli Xu ◽  
Cheng Yi
Keyword(s):  
Fluid Flow ◽  
Exact Solutions ◽  
Porous Plate ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid

scholarly journals The flow of a non-Newtonian fluid induced due to the oscillations of a porous plate

2004 ◽  
Vol 2004 (2) ◽  
pp. 133-143 ◽  
Author(s):  
S. Asghar ◽  
M. R. Mohyuddin ◽  
T. Hayat ◽  
A. M. Siddiqui
Keyword(s):  
Newtonian Fluid ◽  
Analytic Solution ◽  
Porous Plate ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Velocity Amplitude ◽  
Grade Fluid

An analytic solution of the flow of a third-grade fluid on a porous plate is constructed. The porous plate is executing oscillations in its own plane with superimposed injection or suction. An increasing or decreasing velocity amplitude of the oscillating porous plate is also examined. It is also shown that in case of third-grade fluid, a combination of suction/injection and decreasing/increasing velocity amplitude is possible as well. Several limiting situations with their implications are given and discussed.

scholarly journals Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel

2020 ◽  
Vol 13 (5) ◽  
pp. 1270-1284
Author(s):  
Sukanya Padhi ◽  
Itishree Nayak
Keyword(s):  
Magnetic Field ◽  
Nonlinear Partial Differential Equation ◽  
Mhd Flow ◽  
Elastic Parameter ◽  
Third Grade ◽  
Porous Channel ◽  
Third Grade Fluid ◽  
Fully Implicit ◽  
Contrasting Effect ◽  
Grade Fluid

This paper examines the Electro-MHD flow and heat transfer of a third grade fluid passing through a porous channel. An unidirectional and one-dimensional flow is propelled with the aid of lorentz force generated due to interaction of vertically applied magnetic field along with horizontally applied electric field. The equations of momentum and energy governing the third grade fluid flow are transformed to algebraic equation from nonlinear partial differential equation by implementing fully implicit finite difference scheme and solution is obtained by damped-Newton method. Lastly, the problem is simulated using MATLAB and the influence on velocity and temperature profiles with variation of non-dimensional parameters are depicted graphically. The noteworthy findings of this study is that the increasing values of elastic parameter α and non-Newtonian parameter γ diminishes the flow velocity and results in enhancement of temperature profile. A completely contrasting effect is observed for increasing values of strength of electric and magnetic field.

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