Computational Analysis for Mixed Convective Flows of Viscous Fluids With Nanoparticles

2018 ◽  
Vol 11 (2) ◽  
Author(s):  
Umer Farooq ◽  
DianChen Lu ◽  
Salim Ahmed ◽  
Muhammad Ramzan ◽  
Jae Dong Chung ◽  
...  
Keyword(s):  
Computational Analysis ◽  
Graphical Analysis ◽  
Viscous Fluids ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Layer Width ◽  
Convective Flows ◽  
Governing System ◽  
Homotopy Analysis ◽  
Residual Errors

Abstract In this article, magnetohydrodynamic (MHD) mixed convection in an exponentially stretchable surface saturated with viscous fluid has been studied. BVPh 2.0 is employed which is mathematica-based algorithm created on the basis of optimal homotopy analysis method (OHAM). Adequate transformations are utilized for the conversion of governing system into nonlinear ordinary differential system. Convergence of BVPh 2.0 results is demonstrated through tabular values of squared residual errors. Graphical analysis is executed for broad range of governing parameters. It has been revealed an increase in buoyancy leads to the growth of boundary layer width. Further results predict the heat infiltration into the fluid increases as Brownian motion and Biot number enlarges. Mathematically this work exhibits the potential of BVPh 2.0 for nonlinear differential systems.

EFFECTS OF SLIP ON FLOW BETWEEN TWO STRETCHABLE DISKS USING OPTIMAL HOMOTOPY ANALYSIS METHOD

2011 ◽  
Vol 1 ◽  
pp. 50-67
Author(s):  
Sufian Munawar ◽  
Keyword(s):  
Homotopy Analysis Method ◽  
Analytic Solution ◽  
Solution Technique ◽  
Analysis Method ◽  
Optimal Homotopy Analysis Method ◽  
Similarity Transformations ◽  
Governing System ◽  
Homotopy Analysis ◽  
One Step ◽  
Two Parameters

This work presents the analytic solution of flow of a viscous fluid between two stretching disks with slip boundaries. Suitable similarity transformations are used to normalize the governing system. Optimal homotopy analysis method has been used as a solution technique by considering one parameter; two parameters; three parameters and one step optimal HAM approaches

The Approximate Analytical Solution of the MHD Flow of a Power-Law Fluid

2013 ◽  
Vol 431 ◽  
pp. 198-201
Author(s):  
Jing Zhu ◽  
Lian Cun Zheng
Keyword(s):  
Differential Equations ◽  
Power Law ◽  
Velocity Ratio ◽  
Mhd Flow ◽  
Convergent Series ◽  
Analysis Method ◽  
Governing System ◽  
Homotopy Analysis ◽  
Incompressible Mhd ◽  
Good Agreement

This paper presents a theoretical analysis for the incompressible MHD stagnation-point flows of a Non-Newtonian Fluid over stretching sheets.The governing system of partial differential equations is first transformed into a system of dimensionless ordinary differential equations. By using the homotopy analysis method, a convergent series solution is obtained. The reliability and efficiency of series solutions are illustrated by good agreement with numerical results in the literature.Besides, the effects of the power-law indexthe magnetic field parameter and velocity ratio parameter on the flow are investigated.

Optimal Homotopic Exploration of features of Cattaneo-Christov model in Second Grade Nanofluid flow via Darcy-Forchheimer medium subject to Viscous Dissipation and Thermal Radiation

2021 ◽  
Vol 24 ◽  
Author(s):  
Ghulam Rasool ◽  
Anum Shafiq ◽  
Yu-Ming Chu ◽  
Muhammad Shoaib Bhutta ◽  
Amjad Ali
Keyword(s):  
Temperature Distribution ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Skin Friction ◽  
Homotopy Analysis Method ◽  
Stream Velocity ◽  
Analysis Method ◽  
Nanofluid Flow ◽  
Optimal Homotopy Analysis Method ◽  
Homotopy Analysis

Introduction: In this article Optimal Homotopy analysis method (oHAM) is used for exploration of the features of Cattaneo-Christov model in viscous and chemically reactive nanofluid flow through a porous medium with stretching velocity at the solid/sheet surface and free stream velocity at the free surface. Methods: The two important aspects, Brownian motion and Thermophoresis are considered. Thermal radiation is also included in present model. Based on the heat and mass flux, the Cattaneo-Christov model is implemented on the Temperature and Concentration distributions. The governing Partial Differential Equations (PDEs) are converted into Ordinary Differential Equations (ODEs) using similarity transformations. The results are achieved using the optimal homotopy analysis method (oHAM). The optimal convergence and residual errors have been calculated to preserve the validity of the model. Results: The results are plotted graphically to see the variations in three main profiles i.e. momentum, temperature and concentration profile. Conclusion: The outcomes indicate that skin friction enhances due to implementation of Darcy medium. It is also noted that the relaxation time parameter results in enhancement of the temperature distribution. Thermal radiation enhances the temperature distribution and so is the case with skin friction.

Application of Optimal Homotopy Analysis Method for Solitary Wave Solutions of Kuramoto-Sivashinsky Equation

2011 ◽  
Vol 66 (1-2) ◽  
pp. 117-122
Author(s):  
Qi Wang
Keyword(s):  
Solitary Wave ◽  
Homotopy Analysis Method ◽  
Solitary Wave Solutions ◽  
Analysis Method ◽  
Convergence Region ◽  
Optimal Method ◽  
Optimal Homotopy Analysis Method ◽  
Wave Solutions ◽  
Homotopy Analysis ◽  
Sivashinsky Equation

In this paper, the optimal homotopy analysis method is applied to find the solitary wave solutions of the Kuramoto-Sivashinsky equation. With three auxiliary convergence-control parameters, whose possible optimal values can be obtained by minimizing the averaged residual error, the method used here provides us with a simple way to adjust and control the convergence region of the solution. Compared with the usual homotopy analysis method, the optimal method can be used to get much faster convergent series solutions.

scholarly journals Using Non-Fourier’s Heat Flux and Non-Fick’s Mass Flux Theory in the Radiative and Chemically Reactive Flow of Powell-Eyring Fluid

2021 ◽  
Author(s):  
Hina Firdous ◽  
Syed Tauseef Saeed ◽  
Hijaz Ahmed ◽  
Syed Muhammad Husnine
Keyword(s):  
Heat Flux ◽  
Mass Flux ◽  
Three Dimensional ◽  
Reactive Flow ◽  
Analysis Method ◽  
Nanoparticle Concentration ◽  
Convective Boundary ◽  
Optimal Homotopy Analysis Method ◽  
Radiation Chemical ◽  
Homotopy Analysis

The behavior of convective boundary conditions is studied to delineate their role in heat and mass relegation in the presence of radiation, chemical reaction, and hydromagnetic forces in three-dimensional Powell-Eyring nanofluids. Implications concerning non-Fourier’s heat flux and non-Fick’s mass flux with respect to temperature nanoparticle concentration were examined to discuss the graphical attributes of the principal parameters. An efficient optimal homotopy analysis method is used to solve the transformed partial differential equations. Tables and graphs are physically interpreted for significant parameters

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