Analytical Solution for MHD Flow of Unsteady Second Grade Fluid Arising in Wire Coating Analysis

2016 ◽  
Vol 13 (10) ◽  
pp. 6922-6928
Author(s):  
Zeeshan Khan ◽  
Saeed Islam ◽  
Rehan Ali Shah ◽  
Bilal Jan ◽  
Mohammad Imran
Keyword(s):  
Analytical Solution ◽  
Adomian Decomposition Method ◽  
Mhd Flow ◽  
Second Grade ◽  
Model Parameters ◽  
Second Grade Fluid ◽  
Adomian Decomposition ◽  
Wire Coating ◽  
Grade Fluid ◽  
Limiting Case

The objective of this study is to present the analytical solution for the problem of magneto-hydrodynamic unsteady second grade fluid for wire coating in a cylindrical type coating die. To do so, we employ the Adomian Decomposition Method (ADM) to solve the governing nonlinear equation (in dimensionless form). A parametric study is performed in order to illustrate the interactive influences of the model parameters; namely, the magnetic parameter, non-Newtonian parameter of the second grade fluid, and radii ratio. The velocity field is investigated for several sets of values of these parameters. Additionally, the results are also verified by Optimal Homotopy Asymptotic Method (OHAM) and good agreement is found. Additionally, the results are validated with previously published pertinent literature as a limiting case of the problem.

scholarly journals Analytic solution of Stokes second problem for second-grade fluid

2006 ◽  
Vol 2006 ◽  
pp. 1-8 ◽  
Author(s):  
S. Asghar ◽  
S. Nadeem ◽  
K. Hanif ◽  
T. Hayat
Keyword(s):  
Analytical Solution ◽  
Laplace Transformation ◽  
Material Parameter ◽  
Analytic Solution ◽  
Second Grade ◽  
Perturbation Techniques ◽  
Second Grade Fluid ◽  
Transient Solutions ◽  
Grade Fluid ◽  
Stokes Second Problem

Using Laplace transformation and perturbation techniques, analytical solution is obtained for unsteady Stokes' second problem. Expressions for steady and transient solutions are explicitly determined. These solutions depend strongly upon the material parameter of second-grade fluid. It is shown that phase velocity decreases by increasing material parameter of second-grade fluid.

scholarly journals On the MHD flow of a second grade fluid in a porous channel

2007 ◽  
Vol 54 (3) ◽  
pp. 407-414 ◽  
Author(s):  
T. Hayat ◽  
Naveed Ahmed ◽  
M. Sajid ◽  
S. Asghar
Keyword(s):  
Mhd Flow ◽  
Porous Channel ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals MHD Flow and Heat Transfer Analysis in Wire Coating Process Using Elastic-Viscous Fluid

2017 ◽  
Author(s):  
Zeeshan Khan ◽  
Rahan Ali Shah ◽  
Saeed Islam ◽  
Hamid Jan ◽  
Bilal Jan ◽  
...  
Keyword(s):  
Viscous Fluid ◽  
Linear Equations ◽  
Adomian Decomposition Method ◽  
Mhd Flow ◽  
Heat Transfer Analysis ◽  
Coating Process ◽  
Flow And Heat Transfer ◽  
Adomian Decomposition ◽  
Wire Coating ◽  
Optimal Homotopy Asymptotic Method

The most important plastic resins used for wire coating are Polyvinyl Chloride (PVC), Nylon, Polysulfone and Low-high density polyethylene (LDPE / HDPE). In this article,the coating process is performed using elastic-viscous fluid as a coating material for wire coating in a pressure type coating die. The elastic-viscous fluid is electrically conducted in the presence of an applied magnetic field. The governing non-linear equations are modeled and then solved analytically by utilizing an Adomian decomposition method (ADM). The convergence of the series solution is established. The results are also verified by Optimal Homotopy Asymptotic Method (OHAM). The effect of different emerging parameters such as non-Newtonian parameters α and β, magnetic parameter M and the Brinkman number Br on solutions (velocity and temperature profiles) are discussed through several graphs. Additionally, the current result also compares with the published work already available in the literature.

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