Micropolar flow past a stretching sheet
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In this paper, the flow of an incompressible, constant density micropolar fluid past a stretching sheet is studied using a globally convergent homotopy method in conjunction with a least change secant update quasi-Newton algorithm.Abstract:
This paper studies the flow of an incompressible, constant density micropolar fluid past a stretching sheet. The governing boundary layer equations of the flow are solved numerically using a globally convergent homotopy method in conjunction with a least change secant update quasi-Newton algorithm. The flow pattern depends on three non-dimensional parameters. Some interesting results are illustrated graphically and discussed.read more
Citations
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Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet
TL;DR: In this article, the effects of thermal radiation on the flow of micropolar fluid and heat transfer past a porous shrinking sheet is investigated and self-similar ODEs are obtained using similarity transformations from the governing PDEs and are then solved numerically by very efficient shooting method.
Journal ArticleDOI
Dual solutions in boundary layer stagnation-point flow and mass transfer with chemical reaction past a stretching/shrinking sheet ☆
TL;DR: In this paper, an analysis is presented to study dual nature of solution of mass transfer with first order chemical reaction in boundary layer stagnation-point flow over a stretching/shrinking sheet.
Journal ArticleDOI
Numerical linear algebra aspects of globally convergent homotopy methods
TL;DR: Probability one homotopy algorithms as mentioned in this paper are a class of methods for solving nonlinear systems of equations that are globally convergent with probability one, and if constructed and implemented properly, are robust, numerically stable, accurate, and practical.
Journal ArticleDOI
Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet
TL;DR: In this article, an analysis is made to study boundary layer flow and heat transfer over an exponentially shrinking sheet using similarity transformations in exponential form, the governing boundary layer equations are transformed into self-similar nonlinear ordinary differential equations, which are then solved numerically using a very efficient shooting method.
Proceedings ArticleDOI
Globally convergent homotopy methods: a tutorial
TL;DR: Homotopy algorithms for solving nonlinear systems of (algebraic) equations, which are convergent for almost all choices of starting point, are globally convergent with probability one and exhibit a large amount of coarse grain parallelism.
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.
Journal ArticleDOI
Self-similar solution of imcompressible micropolar boundary layer flow over a semi-infinite plate
TL;DR: In this article, the boundary layer flow over a semi-infinite flat plate is studied and the partial differential equations of motion are reduced to 2 couple differential equations and numerical solutions for different values of the parameters are obtained.
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TL;DR: A pack of FORTRAN subprograms for the numerical solution of nonlinear equations and nonlinear least-squares problems and this report provides an overview of the algorithms and software in the package.
Journal ArticleDOI
Stagnation flows of micropolar fluids with strong and weak interactions
G.S. Guram,A.C. Smith +1 more
TL;DR: In this paper, two different boundary conditions for the spin are considered: vanishing spin and vanishing surface moment, and the equations of motion are reduced to dimensionless forms which include three dimensionless parameters, and integrated numerically by a Runge-Kutta method.
Journal ArticleDOI
A globally convergent algorithm for computing fixed points of C2 maps
TL;DR: Chow, Mallet-Paret, and Yorke have recently proposed an algorithm for computing Brouwer fixed points of C^2 maps as discussed by the authors, and a numerical implementation of that algorithm is presented here.