Journal ArticleDOI
The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface
R. Usha,Rukmani Sridharan +1 more
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TLDR
The axisymmetric motion of a fluid caused by an unsteady stretching surface that has relevance in extrusion process and bioengineering has been investigated in this paper, where asymptotic and numerical solutions are obtained and they could be used in the testing of computer codes or analytical models of more realistic engineering systems.Abstract:
The axisymmetric motion of a fluid caused by an unsteady stretching surface that has relevance in extrusion process and bioengineering has been investigated. It has been shown that if the unsteady stretching velocity is prescribed by rb/(1 − αt), then the problem admits a similarity solution which gives much insight to the character of solutions. The asymptotic and numerical solutions are obtained and they could be used in the testing of computer codes or analytical models of more realistic engineering systems. The results are governed by a nondimensional unsteady parameter S and it has been observed that no similarity solutions exist for S > 4read more
Citations
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New Analytical Approach to Two-Dimensional Viscous Flow with a Shrinking Sheet via Sumudu Transform
TL;DR: In this paper, a new analytical approach based on homotopy perturbation Sumudu transform method (HPSTM) to a two-dimensional viscous flow with a shrinking sheet is presented.
Journal Article
Dirichlet series and approximate analytical solutions of mhd flow over a linearly stretching sheet
TL;DR: In this paper, a semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous fog is presented.
Posted Content
Solving the Boundary Layer Flow of an Eyring-Powell Non-Newtonian Fluid
TL;DR: In this paper, the Rational Jacobi (RJ) collocation method is proposed to approximate the solution of the boundary layer flow of an Eyring-Powell fluid over a stretching sheet.
Proceedings ArticleDOI
The Flow in a Viscous Fluid over an Unsteady Stretching Surface
TL;DR: In this paper, the continuity and momentum equations are reduced to ODE using the similarity transformations, and the obtained equation is solved approximately by means of the Optimal Homotopy Asymptotic Method (OHAM).
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.
Book
Similarity methods for differential equations
George W. Bluman,Julian D. Cole +1 more
TL;DR: In this paper, the authors define the notion of groups of transformations and prove that a one-parameter group essentially contains only one infinitesimal transformation and is determined by it.
Journal ArticleDOI
The three‐dimensional flow due to a stretching flat surface
TL;DR: An exact similarity solution of the Navier-Stokes equations is found in this article, where the solution represents the three-dimensional fluid motion caused by the stretching of a flat boundary.
Journal ArticleDOI
Liquid film on an unsteady stretching surface
TL;DR: In this article, a similarity transform was used to reduce the Navier-Stokes equations to a nonlinear ordinary differential equation governed by a non-dimensional unsteady parameter.
Journal ArticleDOI
Fluid flow due to a stretching cylinder
TL;DR: In this paper, the fluid flow outside of a stretching cylinder is studied, governed by a third-order nonlinear ordinary differential equation that leads to exact similarity solutions of the Navier-Stokes equations.