Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates

2008 ◽  
Vol 36 (1) ◽  
pp. 182-192 ◽  
Author(s):  
A.M. Siddiqui ◽  
A. Zeb ◽  
Q.K. Ghori ◽  
A.M. Benharbit
Keyword(s):  
Heat Transfer ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Third Grade ◽  
Parallel Plates ◽  
Third Grade Fluid ◽  
Homotopy Perturbation ◽  
Grade Fluid ◽  
Transfer Flow

Homotopy Perturbation Method for Flow of a Third-grade Fluid Through a Vertical Concentric Annulus

2012 ◽  
Vol 13 (3-4) ◽  
Author(s):  
Muhammad Zeb ◽  
Saeed Islam ◽  
Abdul Majeed Siddiqui ◽  
Tahira Haroon
Keyword(s):  
Perturbation Method ◽  
Incompressible Flow ◽  
Homotopy Perturbation Method ◽  
Theoretical Study ◽  
Longitudinal Velocity ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Concentric Annulus ◽  
Homotopy Perturbation ◽  
Grade Fluid

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

Heat Transfer Analysis on Squeezing Unsteady MHD Nanofluid Flow Between Two Parallel Plates Considering Thermal Radiation, Magnetic and Viscous Dissipations Effects a Solution by Using Homotopy Perturbation Method

2020 ◽  
Vol 18 (2) ◽  
pp. 113-121
Author(s):  
A. El Harfouf ◽  
A. Wakif ◽  
S. Hayani Mounir
Keyword(s):  
Heat Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Perturbation Method ◽  
Ordinary Differential Equations ◽  
Homotopy Perturbation Method ◽  
Heat Transfer Analysis ◽  
Nonlinear Ordinary Differential Equations ◽  
Parallel Plates ◽  
Homotopy Perturbation

In this current work, the heat transfer analysis for the unsteady squeezing magnetohydrodynamic flow of a viscous nanofluid between two parallel plates in the presence of thermal radiation, viscous and magnetic dissipations impacts, considering Fourier heat flux model have been explored. The partial differential equations representing flow model are reduced to nonlinear ordinary differential equations by introducing a similarity transformation. The dimensionless and nonlinear ordinary differential equations of the velocity and temperatures functions obtained are solved by employing the homotopy perturbation method. The effects of different parameters on the velocity and temperature profiles are examined graphically, and numerical calculations for the skin friction coefficient and local Nusselt number are tabulated. It is found an excellent agreement in the comparative study with literature results. This present numerical exploration has great relevance, consequently a better understanding of the squeezing flow phenomena in the hydraulic lifts, power transmission, nano gastric tubes, reactor fluidization areas.

Semi Analytical Solution of Heat Transfer of Magnetohydrodynamic Third-Grade Fluids Flowing Through Parallel Plates With Viscous Dissipation

2018 ◽  
Vol 11 (2) ◽  
Author(s):  
Sumanta Chaudhuri ◽  
Sushil Kumar Rathore
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Viscous Dissipation ◽  
Hartmann Number ◽  
Least Square ◽  
Temperature Fields ◽  
Third Grade ◽  
Parallel Plates ◽  
Third Grade Fluid ◽  
Grade Fluid

Abstract This study deals with the heat transfer characteristics of magnetohydrodynamic (MHD) flow of a third-grade fluid through parallel plates, subjected to a uniform wall heat flux, but of different magnitudes. The effect of viscous dissipation has been included for both heating and cooling of the fluid. The least square method (LSM) has been adopted for solving the nonlinear equations. The expressions for the velocity and temperature fields have been derived which, in turn, is utilized to evaluate the Nusselt number. The results indicate an increase in Nusselt number for higher values of the third-grade fluid parameter during heating and indicate a reverse trend for cooling. Nusselt number increases with an increase in Hartmann number during heating, whereas it decreases with increasing values of the Hartmann number while cooling the fluid.

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