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
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A Mathematical Study on Non-Linear MHD Boundary Layer Past a Porous Shrinking Sheet with Suction
V. Ananthaswamy,K. Renganathan +1 more
TL;DR: In this article, the dimensionless velocity, dimensionless temperature and dimensionless concentration of a shrinking sheet in the presence of suction were derived using the homotopy analysis method through the guessing solutions.
Posted Content
The flow and heat transfer in a viscous fluid over an unsteady stretching surface
TL;DR: In this paper, the flow and heat transfer in a viscous fluid by a horizontal sheet is studied and the governing equations for momentum and thermal energy are reduced to ordinary differential equations by means of similarity transformation.
Journal ArticleDOI
Thermocapillarity in Cross Hybrid Nanofilm Flow Past an Unsteady Stretching Sheet
TL;DR: In this article , the authors examined the transport phenomena of the thin Cross hybrid nanofluid film flow over a continuously stretching surface and found that an increment in the hybrid n-fluid viscosity and surface tension intensity reduces the wall shear stress past the permeable stretching sheet and improves the heat transfer rate.
Approximate analytical solutions of mhd viscous flow due to a shrinking sheet
TL;DR: In this paper, a semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet caused by boundary layer of an incompressible flow is presented.
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.