Journal ArticleDOI
The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface
R. Usha,Rukmani Sridharan +1 more
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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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MHD rotating flow of a viscous fluid over a shrinking surface
TL;DR: In this article, the magnetohydrodynamic (MHD) rotating boundary layer flow of a viscous fluid caused by the shrinking surface is considered and the homotopy analysis method is employed for the analytic solution.
Journal ArticleDOI
Unsteady flow of a second grade fluid film over an unsteady stretching sheet
TL;DR: The governing nonlinear partial differential equation has been reduced to the nonlinear ordinary differential equation by means of suitable transformations and the developed nonlinear equation is solved analytically by using the homotopy analysis method (HAM).
Journal ArticleDOI
MHD oblique stagnation point flow of nanofluid over an oscillatory stretching/shrinking sheet: existence of dual solutions
Journal ArticleDOI
Unsteady fluid and heat flow induced by a submerged stretching surface while its steady motion is slowed down gradually
Mohamed E. Ali,Eugen Magyari +1 more
TL;DR: In this article, the authors investigated the effect of switching off of a large class of industrial manufacturing processes such as polymer extrusion, wire drawing, drawing of plastic sheets, etc.
Journal ArticleDOI
Review of similarity stretching exact solutions of the Navier–Stokes equations
TL;DR: In this paper, the authors review the advances in similarity solutions of a viscous fluid due to a stretching boundary, and present a similarity transform that reduces the Navier-Stokes equations to a set of nonlinear ordinary differential equations, which can be solved to yield universal curves.
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.