Wire Coating Extrusion in a Pressure-type Die in Flow of a Third Grade Fluid via Homotopy Perturbation Method

Author(s):  
A. M. Siddiqui ◽  
T. Haroon ◽  
H. Khan
Author(s):  
Muhammad Zeb ◽  
Saeed Islam ◽  
Abdul Majeed Siddiqui ◽  
Tahira Haroon

AbstractThis paper considers a theoretical study on steady incompressible flow of third grade fluid in helical screw rheometer (HSR) with zero flight angles (a vertical concentric annulus). The developed second order non linear coupled differential equations are solved by homotopy perturbation method. Expressions for torsional and longitudinal velocity components are derived. The effects of non-Newtonian parameter


Author(s):  
Jawaher Lafi Aljohani ◽  
Eman Salem Alaidarous ◽  
Muhammad Asif Zahoor Raja ◽  
Muhammed Shabab Alhothuali ◽  
Muhammad Shoaib

2020 ◽  
Vol 12 (4) ◽  
pp. 485-498
Author(s):  
O. J. Fenuga ◽  
S. J. Aroloye ◽  
S. O. Salawu

This work investigates the mathematical model and solution for an unsteady MHD fourth grade fluid flow over a vertical plate in a porous medium with the effects of the magnetic field and suction/injection parameters using Homotopy Perturbation Method. The flow is considered to satisfy the constitutive equations of fourth grade fluid flow model and because of the Homotopy Perturbation Method used, only the momentum equation with initial and boundary conditions are solved as governing equations. After initializing stability test, the convergence of the governing equations are observed graphically using the results of Homotopy Perturbation Method with the new analytical method used by Yurusoy in literature and there is a perfect agreement in results. The impact of dimensionless second, third and fourth grade parameters with the effects of magnetic field and suction/injection parameters on the velocity field are displayed graphically and discussed. Increase in suction parameter decreases the momentum boundary layer thickness while injection parameter enhances velocity distribution in the boundary layer. Magnetic field reduces velocity throughout the boundary layer because the Lorentz force which acts as retarding force reduces the boundary layer thickness.


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