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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Journal ArticleDOI
Nonlinear Convection in Micropolar Fluid Flow Past a Non-Isothermal Exponentially Permeable Stretching Sheet in Presence of Heat Source/Sink
I. C. Mandal,S. Mukhopadhyay +1 more
TL;DR: In this article, the consequences of nonlinear convection on boundary layer flow of micropolar fluid over a non-isothermal exponentially stretching sheet were investigated and the influences of suction/blowing and heat source/sink are also considered.
Globally Convergent Homotopy Methods.
TL;DR: Algorithms for solving nonlinear systems of (algebraic) equations, which are globally convergent with probability one, are 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.
Journal ArticleDOI
Thermal boundary layer in stagnation-point flow past a permeable shrinking sheet with variable surface temperature
TL;DR: In this paper, the heat transfer in boundary layer stagnation-point flow over a non-isothermal permeable shrinking sheet with suction/injection was investigated, where the governing equations with the boundary conditions are transformed to self-similar nonlinear ordinary differential equations and then those are solved numerically by shooting method.
Journal ArticleDOI
Generalized Crane flows of micropolar fluids
Eugen Magyari,Vinay Kumaran +1 more
TL;DR: In this paper, the authors revisited the hydromagnetic flow induced by a continuous stretching surface in a quiescent micropolar fluid and showed that the problem admits an exact analytical solution for arbitrary differentiable stretching velocities when the surface is permeable and a suitable lateral suction/injection of the fluid is applied.
Journal ArticleDOI
Heat and mass transfer in mixed convection MHD micropolar fluid flow due to non-linear stretched sheet in porous medium with non-uniform heat generation and absorption
TL;DR: In this article , mixed convection flow is considered with micropolar fluid in the presence of the magnetic field, and the flow is defied with a non-linear stretching sheet through a porous medium.
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.
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.
ReportDOI
User guide for MINPACK-1. [In FORTRAN]
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.