Open Access
Homotopy study of buoyancy-induced flow of non-newtonian fluids over a non-isothermal surface in a porous medium
Reads0
Chats0
TLDR
In this article, the steady buoyancy-induced thermal convection boundary layer flow of a nonNewtonian fluid over a non-isothermal horizontal flat plate immersed in a porous medium is examined by employing the general similarity transformation procedure and the power law model to characterize the non-Newtonians fluid behaviour.Abstract:
In this study, the steady buoyancy-induced thermal convection boundary layer flow of a nonNewtonian fluid over a non-isothermal horizontal flat plate immersed in a porous medium is examined by employing the general similarity transformation procedure and the power law model to characterize the non-Newtonian fluid behaviour. Temperature profiles and the heat transfer rate at the wall are presented for different values of the non-Newtonian power law index (n) and the exponent associated with the wall temperature distribution (A). The similarity transformation is applied to reduce the governing nonlinear coupled partial differential equations to nonlinear ordinary differential equations in dimensionless form. The robust Homotopy Analysis Method (HAM), is applied to obtain approximate analytical solutions of the dimensionless nonlinear equations. The obtained solutions demonstrate very high accuracy and excellent agreement with numerical solutions (fourth-order Runge–Kutta scheme).read more
Citations
More filters
Journal ArticleDOI
Melting Heat Transfer in the Stagnation Point Flow of Powell–Eyring Fluid
TL;DR: In this article, the influence of melting heat transfer in stagnation point flow of Powell-Eyring fluid toward a linear stretching sheet is investigated, which is characterized by conservation laws of mass, linear momentum, and energy.
Journal ArticleDOI
Influence of thermal radiation and Joule heating in the Eyring–Powell fluid flow with the Soret and Dufour effects
TL;DR: In this article, a two-dimensional magnetohydrodynamic boundary layer flow of the Eyring-Powell fluid on a stretching surface in the presence of thermal radiation and Joule heating is analyzed.
Journal ArticleDOI
Note on characteristics of homogeneous-heterogeneous reaction in flow of Jeffrey fluid
TL;DR: In this paper, the characteristics of homogeneous-heterogeneous reaction in the boundary layer flow of a Jeffrey fluid due to an impermeable horizontal stretching sheet are described and an analysis is carried out through the similar values of reactant and auto catalyst diffusion coefficients.
Homotopy analysis of soret and dufour effects on free convection non-newtonian flow in a porous medium with thermal radiation flux
TL;DR: In this article, the authors analyzed the combined laminar free convection flow with thermal radiation and mass transfer of non-Newtonian power-law fluids along a vertical plate within a porous medium.
Journal ArticleDOI
Application of HPM to Find Analytical Solution of Coette Flow with Variable Viscosity
TL;DR: In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM), and the mathematical formulation and application of HPM to nonlinear problem are presented in section three.
References
More filters
Book
Beyond Perturbation: Introduction to the Homotopy Analysis Method
Shijun Liao,SA Sherif +1 more
TL;DR: In this paper, a simple bifurcation of a nonlinear problem multiple solutions of a Nonlinear Problem Nonlinear Eigenvalue Problem Thomas-Fermi Atom Model Volterra's Population Model Free Oscillation Systems with Odd Nonlinearity Free oscillations with Quadratic nonlinearity Limit Cycle in a Multidimensional System Blasius' viscous flow Boundary-layer Flow Boundarylayer Flow with Exponential Property Boundary Layer Flow with Algebraic Property Von Karman Swirling Flow Nonlinear Progressive Waves in Deep Water BIBLIOGR
Journal ArticleDOI
On the homotopy analysis method for nonlinear problems
TL;DR: A powerful, easy-to-use analytic tool for nonlinear problems in general, namely the homotopy analysis method, is further improved and systematically described through a typical nonlinear problem, i.e. the algebraically decaying viscous boundary layer flow due to a moving sheet.
Journal ArticleDOI
An optimal homotopy-analysis approach for strongly nonlinear differential equations
TL;DR: In this paper, an optimal homotopy analysis approach is described by means of the nonlinear Blasius equation as an example, which can be used to get fast convergent series solutions of different types of equations with strong nonlinearity.
Journal ArticleDOI
The application of homotopy analysis method to nonlinear equations arising in heat transfer
TL;DR: In this paper, the homotopy analysis method (HAM) is compared with the numerical and HPM in the heat transfer file and the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of solution series.
Related Papers (5)
Analytic study on non-Newtonian natural convection boundary layer flow with variable wall temperature on a horizontal plate
Analytical Solution for Free Convection Boundary-Layer over a Vertical Cone in a Non-Newtonian Fluid Saturated Porous Medium with Internal Heat Generation
M. M. Rashidi,M. T. Rastegari +1 more