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Journal ArticleDOI

The Axisymmetric Motion of a Liquid Film on an Unsteady Stretching Surface

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 > 4

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Citations
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Journal ArticleDOI

Approximate solutions for the problem of liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field

TL;DR: In this article, a truncated series of the shifted Legendre polynomial expansion is used to solve the thin film flow and heat transfer with the effects of the thermal radiation, magnetic field, and slip velocity.
Journal ArticleDOI

The Thin Film Flow of Walter’s B Fluid over the Surface of a Stretching Cylinder with Heat and Mass Transfer Analysis

TL;DR: In this article, the performance of the boundary layer flow considering non-Newtonian Walter's B fluid over the surface of an unstable cylinder to protect the surfaces of the cylinder from external heating and cooling has been investigated.
Journal ArticleDOI

Numerical Simulation of MHD Flow over a Shrinking Sheet Using Finite Element B-Spline Collocation Technique

TL;DR: In this paper, the influence of heat and mass transfer on two-dimensional mixed convection laminar boundary layer MHD flow over a shrinking sheet with suction was analyzed.

Mhd heat transfer in a liquid film over an unsteady stretching sheet in the presence of non-uniform heat source/sink

Ramya M
TL;DR: In this article, an analysis has been carried out to study the magnetohydrodynamics boundary layer flow and heat transfer characteristics of laminar liquid film over a flat stretching sheet in the presence of a non-uniform heat source/sink for two different temperature (a) variable wall temperature(VWT) and variable heat flux(VHF).
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

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

C. Y. Wang
- 01 Aug 1984 - 
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.
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