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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MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet
TL;DR: In this article, a two-dimensional stagnation point flow of Jeffrey fluid over an exponentially stretching sheet is studied and the convergence of the series solutions is carefully analyzed for the series solution.
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Heat transfer analysis in unsteady boundary layer stagnation-point flow towards a shrinking/stretching sheet
TL;DR: In this paper, the heat transfer in unsteady boundary layer stagnation-point flow over a shrinking/stretching sheet is investigated, and the surface temperature of the sheet is taken time dependent.
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Globally convergent homotopy methods
TL;DR: The basic theory for probability one globally convergent homotopy algorithm was developed in 1976, and since then the theory, algorithms, and applications have considerably expanded as discussed by the authors, which is applicable to Brouwer fixed point problems, certain classes of zero-finding problems, unconstrained optimization, linearly constrained optimization, nonlinear complementarity, and the dlscretizations of nonlinear two-point boundary value problems based on shooting, finite differences, collocation and finite elements.
Journal ArticleDOI
Boundary layer flow of a nanofluid over an exponentially stretching sheet with convective boundary conditions
TL;DR: In this article, the authors discuss the flow and heat transfer characteristics over an exponentially stretching sheet in a nanofluid with convective boundary conditions, and the effects of Brownian motion and thermophoresis are also accounted.
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Time-dependent natural convection of micropolar fluid in a wavy triangular cavity
TL;DR: In this paper, the effects of the dimensionless time, Prandtl number, vortex viscosity parameter, and undulation number on streamlines, isotherms, vorticity isolines as well as average Nusselt number at wavy wall and fluid flow rate inside the cavity have been studied.
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.
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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.
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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.