Journal ArticleDOI
Analytic solution for axisymmetric flow over a nonlinearly stretching sheet
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In this paper, the boundary-layer flow of a viscous fluid over a nonlinear axisymmetric stretching sheet is analyzed and the partial differential equations governing the flow are reduced to an ordinary differential equation.Abstract:
An analysis is performed for the boundary-layer flow of a viscous fluid over a nonlinear axisymmetric stretching sheet. By introducing new nonlinear similarity transformations, the partial differential equations governing the flow are reduced to an ordinary differential equation. The resulting ordinary differential equation is solved using the homotopy analysis method (HAM). Analytic solution is given in the form of an infinite series. Convergence of the obtained series solution is explicitly established. The solution for an axisymmetric linear stretching sheet is obtained as a special case.read more
Citations
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A new solution branch for the Blasius equation-A shrinking sheet problem
TL;DR: In this work, a similarity equation of the momentum boundary layer is studied for a moving flat plate with mass transfer in a stationary fluid and the solution is applicable to the practical problem of a shrinking sheet with a constant sheet velocity.
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Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet
TL;DR: In this paper, the laminar axisymmetric flow of nanofluid over a non-linearly stretching sheet is reported, which contains the simultaneous effects of Brownian motion and thermophoretic diffusion of nanoparticles.
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Analytic and numerical solutions for axisymmetric flow with partial slip
TL;DR: The slip effects on the axisymmetric flow of an electrically conducting viscous fluid in the presence of a magnetic field over a non-linear radially stretching sheet is dealt with by introducing new similarity transformations.
Journal ArticleDOI
Effects of slip, viscous dissipation and Joule heating on the MHD flow and heat transfer of a second grade fluid past a radially stretching sheet
TL;DR: In this paper, the effect of the partial slip, magnetic interaction parameter and second-grade fluid parameter on the velocity and temperature fields was investigated and it was found that the slip increases the momentum and thermal boundary layer thickness.
Journal ArticleDOI
On axisymmetric flow and heat transfer of Cross fluid over a radially stretching sheet
TL;DR: In this paper, an analysis is made on the axisymmetric flow and heat transfer of the Cross fluid over a radially stretching sheet, where the modelled momentum and energy equations are further simplified into non-linear ordinary differential equations by applying suitable similarity transformations.
References
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Journal ArticleDOI
Flow past a stretching plate
TL;DR: In this paper, a plastischem material fliesst aus einem Spalt with einer Geschwindigkeit, die proportional zum Abstand vom Spalt ist.
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
Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow
TL;DR: In this article, the boundary-layer behavior on continuous surfaces is examined, and the basic differential and integral momentum equations of boundary layer theory are derived for such surfaces, for both laminar and turbulent flow in the boundary layer.
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
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.