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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Flow and heat transfer in a nano-liquid film over an unsteady stretching surface
Hang Xu,Ioan Pop,Xiangcheng You +2 more
TL;DR: In this paper, a linear relationship between the film thickness β and the unsteadiness parameter S is found and the effects of S, the solid volume fraction of the nanofluid ϕ and the Prandtl number Pr on the velocity and the temperature distributions are presented and discussed, respectively.
Journal ArticleDOI
Impact of Nonlinear Thermal Radiation on MHD Nanofluid Thin Film Flow over a Horizontally Rotating Disk
TL;DR: In this paper, a thin film flow of viscous nanofluids over a horizontal rotating disk was analyzed and the impact of nonlinear thermal radiation and a uniform magnetic field was emphasized.
Journal ArticleDOI
Effects of heat and mass transfer on nonlinear MHD boundary layer flow over a shrinking sheet in the presence of suction
TL;DR: In this article, the governing boundary layer equations are written into a dimensionaless form by similarity transformations, and the transformed coupled nonlinear ordinary differential equations are numerically solved by using an advanced numeric technique.
Journal ArticleDOI
Entropy Generation on Nanofluid Thin Film Flow of Eyring–Powell Fluid with Thermal Radiation and MHD Effect on an Unsteady Porous Stretching Sheet
TL;DR: Entropy analysis is the main focus in this work and the impact of physical parameters on the entropy profile are discussed in detail.
Journal ArticleDOI
Effect of non-uniform heat source on MHD heat transfer in a liquid film over an unsteady stretching sheet
TL;DR: In this paper, an analysis has been carried out to study the magnetohydrod dynamic boundary layer flow and heat transfer characteristics of a laminar liquid film over a flat impermeable stretching sheet in the presence of a non-uniform heat source/sink.
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.