scholarly journals MHD Accelerated Flow of Maxwell Fluid in a Porous Medium and Rotating Frame

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Mahad Ayem ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Relevant Literature ◽  
Maxwell Fluid ◽  
Rotating Flow ◽  
Rotating Frame ◽  
Sine Transform ◽  
Fourier Sine Transform ◽  
Special Cases ◽  
Accelerated Flow

The magnetohydrodynamic (MHD) and rotating flow of Maxwell fluid induced by an accelerated plate is investigated. The Maxwell fluid saturates the porous medium. Both constant and variable accelerated cases are considered. Exact solution in each case is derived by using Fourier sine transform. Many interesting available results in the relevant literature are obtained as the special cases of the present analysis. The graphical results are presented and discussed.

scholarly journals Unsteady Hydromagnetic Rotating Flow through an Oscillating Porous Plate Embedded in a Porous Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
I. Khan ◽  
A. Khan ◽  
A. Farhad ◽  
M. Qasim ◽  
S. Sharidan
Keyword(s):  
Porous Medium ◽  
Porous Plate ◽  
Rotating Flow ◽  
Rotating Frame ◽  
Hydromagnetic Flow ◽  
Sine Transform ◽  
Fourier Sine Transform ◽  
Special Cases ◽  
The Laplace Transform ◽  
Flow Through

This paper investigates unsteady hydromagnetic flow of a viscous fluid in a rotating frame. The fluid is bounded by an oscillating porous plate embedded in a porous medium. The Laplace transform and Fourier sine transform methods are employed to find the exact solutions. They satisfy all imposed initial and boundary conditions and as special cases are reduced to some published results from the literature. The graphical results are plotted for different values of pertinent parameters and some interesting conclusions are made.

scholarly journals New exact solution for Rayleigh–Stokes problem of Maxwell fluid in a porous medium and rotating frame

2011 ◽  
Vol 1 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Stokes Problem ◽  
Maxwell Fluid ◽  
Rotating Frame

scholarly journals MHD Peristaltic Flow of Fractional Jeffrey Model through Porous Medium

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Xiaoyi Guo ◽  
Jianwei Zhou ◽  
Huantian Xie ◽  
Ziwu Jiang
Keyword(s):  
Porous Medium ◽  
Pressure Rise ◽  
Maxwell Fluid ◽  
Peristaltic Flow ◽  
Constitutive Relationship ◽  
Second Grade ◽  
Jeffrey Fluid ◽  
Viscoelastic Parameters ◽  
Special Cases ◽  
Generalized Second Grade Fluid

The magnetohydrodynamic (MHD) peristaltic flow of the fractional Jeffrey fluid through porous medium in a nonuniform channel is presented. The fractional calculus is considered in Darcy’s law and the constitutive relationship which included the relaxation and retardation behavior. Under the assumptions of long wavelength and low Reynolds number, the analysis solutions of velocity distribution, pressure gradient, and pressure rise are investigated. The effects of fractional viscoelastic parameters of the generalized Jeffrey fluid on the peristaltic flow and the influence of magnetic field, porous medium, and geometric parameter of the nonuniform channel are presented through graphical illustration. The results of the analogous flow for the generalized second grade fluid, the fractional Maxwell fluid, are also deduced as special cases. The comparison among them is presented graphically.

On MHD transient flow of a Maxwell fluid in a porous medium and rotating frame

2008 ◽  
Vol 372 (10) ◽  
pp. 1639-1644 ◽  
Author(s):  
T. Hayat ◽  
C. Fetecau ◽  
M. Sajid
Keyword(s):  
Porous Medium ◽  
Transient Flow ◽  
Maxwell Fluid ◽  
Rotating Frame

scholarly journals Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Zainal Abdul Aziz ◽  
Mojtaba Nazari ◽  
Faisal Salah ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Porous Medium ◽  
Analytic Solution ◽  
Third Grade ◽  
Approximate Analytic Solution ◽  
Rotating Frame ◽  
Analysis Method ◽  
Third Grade Fluid ◽  
Homotopy Analysis ◽  
Grade Fluid ◽  
Accelerated Flow

The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame. HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems. The approximate analytic solution for constant accelerated flow is obtained by using HAM. HAM contains the auxiliary parameterℏ, which provides us with a straightforward way to obtain the convergence region of the series solution. Graphical results are plotted and the consequences discussed. The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions. Many interesting results can be obtained as the special cases of the presented analysis. The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.

scholarly journals Flow and heat transfer over a stretching surface with variable thickness in a Maxwell fluid and porous medium with radiation

2019 ◽  
Vol 23 (5 Part B) ◽  
pp. 3105-3116
Author(s):  
Elsayed Elbashbeshy ◽  
Hamada Asker ◽  
Khaled Abdelgaber
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Variable Thickness ◽  
Maxwell Fluid ◽  
Stretching Surface ◽  
Flow And Heat Transfer ◽  
Special Cases ◽  
Non Linear ◽  
Linear Ode ◽  
Conductivity Parameter

The effect of thermal radiation on flow and heat transfer of Maxwell fluid over a stretching surface with variable thickness embedded in a porous medium is considered. The governing non-linear PDE are transformed into a non-linear ODE by using a similarity transformation. These equations were solved numerically with fourth/fifth-order Runge-Kutta method. A comparison of obtained numerical results is made with the previously results in some special cases and excellent agreement is noted. The effects of elasticity, radiation parameter, porosity parameter, wall thickness parameter, and thermal conductivity parameter on the velocity and temperature profiles are presented. Moreover, the skin-friction and Nusselt number are presented.

scholarly journals New Exact Solutions for MHD Transient Rotating Flow of a Second-Grade Fluid in a Porous Medium

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Exact Solutions ◽  
Flat Plate ◽  
Laplace Transforms ◽  
Second Grade ◽  
Rotating Flow ◽  
Second Grade Fluid ◽  
New Exact Solutions ◽  
Grade Fluid

The magnetohydrodynamic (MHD) and rotating flow of second-grade fluid over a suddenly moved flat plate is investigated, where the second-grade fluid saturates the porous medium. The new exact solution is derived by using the Fourier sine and Laplace transforms. Many interesting available results in the literature are obtained as limiting cases of our solution. Finally, some graphical results are presented for different values of the material constants.

EXACT SOLUTION FOR RAYLEIGH−STOKES PROBLEMS OF AN OLDROYD-B FLUID IN A POROUS MEDIUM AND ROTATING FRAME

2012 ◽  
Vol 15 (10) ◽  
pp. 901-908
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Norsarahaida S. Amin ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Rotating Frame ◽  
Stokes Problems

ASPECTS OF HETEROGENOUS AND HOMOGENOUS REACTIONS ON HYDROMAGNETIC OSCILLATORY ROTATING FLOW IN POROUS MEDIUM

2020 ◽  
Vol 23 (9) ◽  
pp. 837-850
Author(s):  
Zaheer Abbas ◽  
Amar Rauf ◽  
Sabir Ali Shehzad
Keyword(s):  
Porous Medium ◽  
Rotating Flow
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