Micropolar flow past a stretching sheet
TLDR
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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Journal ArticleDOI
Boundary layers in micropolar liquids
TL;DR: In this paper, the steady flow of a micropolar liquid near a rigid boundary is considered, and it is shown that while micro-inertia itself is not important, nevertheless, some properties of the microstructure do play a vital role in determining the structure of the boundary layer.
Journal ArticleDOI
Squeezing of a viscous fluid between elliptic plates
C. Y. Wang,L. T. Watson +1 more
TL;DR: In this article, a viscous fluid is squeezed between two parallel elliptic plates and the gap width varies as the inverse square root of time, exact similarity equations may be obtained.
Journal ArticleDOI
Engineering applications of the Chow-Yorke algorithm
TL;DR: The Chow-Yorke algorithm as discussed by the authors is a scheme for developing homotopy methods that are globally convergent with probability one, which has been successfully applied to a wide range of engineering problems, particularly those for which quasi-Newton and locally convergent iterative techniques are inadequate.
Journal ArticleDOI
Micropolar boundary layer flow at a stagnation point on a moving wall
TL;DR: In this paper, the theory of micropolar fluids due to Eringen is used to formulate a set of boundary layer equations for 2-dimensional flow of an incompressible, constant density micropolastic fluid at a stagnation point on a moving wall.