scispace - formally typeset
Search or ask a question
Topic

Similarity solution

About: Similarity solution is a research topic. Over the lifetime, 2074 publications have been published within this topic receiving 59790 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, a similarity solution is presented which depends primarily on Prandtl number Pr, Lewis number Le, Brownian motion number Nb, and thermophorsis number Nt.
Abstract: Boundary-layer flow of a nanofluid past a stretching sheet with momentum, thermal, and solutal, slip condi- tions have been investigated numerically by Runge-Kutta shooting technique. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. A similarity solution is presented which depends primarily on Prandtl number Pr, Lewis number Le, Brownian motion number Nb, and thermophorsis number Nt. The variation of the reduced Nus- selt number and reduced Sherwood number with Nb and Nt for various values of Pr and Le is presented in tabular and graphical forms. Comparison with published results is presented. During the last many years, the study of boundary layer flow and heat transfer has achieved a lot of success because of its large number of applications in Science and Engineering disci- plines. Some of these applications include materials manufac- tured by the polymer extrusion, drawing of copper wires, con- tinuous stretching of plastic films, artificial fibres, hot rolling, wire drawing, glass fiber, metal extrusion and metal spinning or electronic chips, and many others. A large number of research-
Posted ContentDOI
06 Sep 2022
TL;DR: In this article , a mathematical model of an initial stage of closure electrical contact that involves a metallic vaporization after instantaneous exploding of contact due to arc ignition with power P 0 on fixed face z = 0 and heat transfer in material with a variable cross section, when the radial component of the temperature gradient can be neglected in comparison with the axial component with heat flux and convective boundary conditions prescribed at the known free boundary z = α(t).
Abstract: Abstract In this article we consider a mathematical model of an initial stage of closure electrical contact that involves a metallic vaporization after instantaneous exploding of contact due to arc ignition with power P 0 on fixed face z = 0 and heat transfer in material with a variable cross section, when the radial component of the temperature gradient can be neglected in comparison with the axial component with heat flux and convective boundary conditions prescribed at the known free boundary z = α(t) . The temperature field in the liquid region of such kind of material can be modelled by Stefan problem for the generalized heat equation. A similarity variable transformation is used to solve the problem, which enables us to reduce generalized heat equation to nonlinear ordinary differential equation and we have to determine temperature solution for the liquid phase and location of melting isotherm. Existence and uniqueness of the solution is proved by using the fixed point Banach theorem. The solution for two cases of thermal coefficients, in particular, constant and linear thermal conductivity are represented, existence and uniqueness for each type of solution is proved. Mathematics Subject Classification (2010). 80A22, 80A05.
Posted Content
TL;DR: In this paper, the authors investigated the development of vortex shedding for two-dimensional unsteady flow of an incompressible fluid at the rear stagnation point and showed that vortex shedding is necessary and sufficient for vortex shedding.
Abstract: This paper investigates the nature of the development of vortex shedding for two-dimensional unsteady flow of an incompressible fluid at the rear stagnation point.
Proceedings ArticleDOI
01 Mar 2010
TL;DR: In this paper, the authors present a theoretical description of the generation of ultra-short, high-energy pulses in two laser cavities driven by periodic spectral filtering or dispersion management.
Abstract: We present a theoretical description of the generation of ultra‐short, high‐energy pulses in two laser cavities driven by periodic spectral filtering or dispersion management. Critical in driving the intra‐cavity dynamics is the nontrivial phase profiles generated and their periodic modification from either spectral filtering or dispersion management. For laser cavities with a spectral filter, the theory gives a simple geometrical description of the intra‐cavity dynamics and provides a simple and efficient method for optimizing the laser cavity performance. In the dispersion managed cavity, analysis shows the generated self‐similar behavior to be governed by the porous media equation with a rapidly‐varying, mean‐zero diffusion coefficient whose solution is the well‐known Barenblatt similarity solution with parabolic profile.
Journal ArticleDOI
TL;DR: In this article, the effects of surface suction or blowing on the boundary layer friction factor and heat transfer rate were studied in detail, and it was shown that the local nonsimilarity solution gives more accurate results than the local similarity solution.
Abstract: The effects of suction or blowing on the laminar boundary layer flow and heat transfer along a horizontal continuously moving plate are analyzed by a local similarity method and a local nonsimilarity method. The cases of prescribed surface temperature and prescribed wall heat flux are considered. The effects of surface suction or blowing on the boundary layer friction factor and heat transfer rate are studied in detail. It is shown that the local nonsimilarity solution gives more accurate results than the local similarity solution.

Trending Questions (1)
Network Information
Related Topics (5)
Reynolds number
68.4K papers, 1.6M citations
89% related
Turbulence
112.1K papers, 2.7M citations
88% related
Boundary layer
64.9K papers, 1.4M citations
87% related
Partial differential equation
70.8K papers, 1.6M citations
87% related
Boundary value problem
145.3K papers, 2.7M citations
84% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202313
202238
202141
202045
201947
201850