Journal ArticleDOI
The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface
R. Usha,Rukmani Sridharan +1 more
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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Journal ArticleDOI
MHD non-Newtonian thin film fluid flow due to an unsteady stretching sheet under thermocapillarity phenomenon
Ahmed M. Megahed,Mostafa Mahmoud +1 more
TL;DR: In this paper, the effect of the magnetic field on the liquid thin film flow of a non-Newtonian Powell-Eyring fluid was explored and the thermocapillarity phenomenon in association with the effect was investigated.
Journal ArticleDOI
Viscous flow and heat transfer over an unsteady stretching surface
TL;DR: In this article, the flow and heat transfer of a horizontal sheet in a viscous fluid is studied and the governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation.
On the flow of power-law fluids
TL;DR: In this paper, an update on generalized similarity transformation applied to the flow of power-law fluids is presented, which surveys both steady and unsteady flow problems: wall jets and liquid-film stretching.
Book ChapterDOI
The Third Alternative of the Optimal Homotopy Asymptotic Method
Vasile Marinca,Nicolae Herisanu +1 more
TL;DR: In this paper, the authors considered m = 2 into Eq. 2.29 such that they obtained the second-order approximate solution in the form======ゼウス======��¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯�
Journal ArticleDOI
Numerical treatment of hybrid water based nanofluid flow with effect of dissipation and Joule heating over a shrinking surface: Stability analysis
TL;DR: In this paper , the steady flow of magnetohydrodynamic of Cu-Al2O3/water hybrid nanofluid was investigated along with Joule heating and viscous dissipation effect across a porous shrinking sheet.
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.