Journal ArticleDOI
The application of homotopy analysis method for MHD viscous flow due to a shrinking sheet
Muhammad Sajid,Tasawar Hayat +1 more
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In this paper, the homotopy analysis method (HAM) was applied to the case of two-dimensional and axisymmetric shrinking and the convergence of the obtained series solution was discussed explicitly.Abstract:
This work is concerned with the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet. The cases of two dimensional and axisymmetric shrinking have been discussed. Exact series solution is obtained using the homotopy analysis method (HAM). The convergence of the obtained series solution is discussed explicitly. The obtained HAM solution is valid for all values of the suction parameter and Hartman number.read more
Citations
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Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature
TL;DR: In this paper, a system of partial differential equations for micropolar and nanofluid has been analyzed by a combination of the similarity transformation and accurate finite-difference method.
Journal ArticleDOI
Closed-form exact solutions of MHD viscous flow over a shrinking sheet
Tiegang Fang,Ji Zhang +1 more
TL;DR: In this article, the magnetohydrodynamic (MHD) flow over a shrinking sheet is solved analytically in a closed-form equation and is an exact solution of the full governing Navier-Stokes equations for the problem.
Journal ArticleDOI
Viscous flow over a shrinking sheet with a second order slip flow model
TL;DR: In this paper, the authors proposed a second order slip flow model to predict viscous flow over a shrinking sheet, and the closed solution is an exact solution of the full governing Navier-Stokes equations.
Journal ArticleDOI
Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip
Alin V. Roşca,Ioan Pop +1 more
TL;DR: In this paper, a second-order slip flow model is used to predict the flow characteristics accurately, and the effects of the two mass suction and mixed convection parameters on the reduced skin friction coefficient, heat transfer from the surface of the sheet, dimensionless velocity and temperature distributions are presented graphically and discussed.
Journal ArticleDOI
Stagnation-point flow over a shrinking sheet in a micropolar fluid
TL;DR: In this paper, the steady two-dimensional stagnation point flow of a micropolar fluid over a shrinking sheet in its own plane was analyzed and the features of the flow characteristics were analyzed and discussed.
References
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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
Boundary‐layer behavior on continuous solid surfaces: III. The boundary layer on a continuous cylindrical surface
TL;DR: In this article, the behavior of laminar and turbulent boundary layers on a moving continuous cylindrical surface is investigated by the integral method, based on assumed velocity profiles that satisfy the appropriate boundary conditions.
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.