A NEW ANALYTICAL PROCEDURE FOR SOLVING THE NON-LINEAR DIFFERENTIAL EQUATION ARISING IN THE STRETCHING SHEET PROBLEM

P.G. SIDDHESHWAR; U.S. MAHABALESWAR; H.I. ANDERSSON

首页> 外文期刊>Applied Mechanics and Engineering >A NEW ANALYTICAL PROCEDURE FOR SOLVING THE NON-LINEAR DIFFERENTIAL EQUATION ARISING IN THE STRETCHING SHEET PROBLEM

【24h】

A NEW ANALYTICAL PROCEDURE FOR SOLVING THE NON-LINEAR DIFFERENTIAL EQUATION ARISING IN THE STRETCHING SHEET PROBLEM

机译：解决拉伸板问题中非线性微分方程的一种新的解析方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

The paper discusses a new analytical procedure for solving the non-linear boundary layer equation arising in a linear stretching sheet problem involving a Newtonianon-Newtonian liquid. On using a technique akin to perturbation the problem gives rise to a system of non-linear governing differential equations that are solved exactly. An analytical expression is obtained for the stream function and velocity as a function of the stretching parameters. The Clairaut equation is obtained on consideration of consistency and its solution is shown to be that of the stretching sheet boundary layer equation. The present study throws light on the analytical solution of a class of boundary layer equations arising in the stretching sheet problem.

机译：本文讨论了一种新的解析方法，用于求解涉及牛顿/非牛顿液体的线性拉伸板问题中出现的非线性边界层方程。在使用类似于摄动的技术时，该问题产生了精确求解的非线性控制微分方程组。获得关于流函数和速度作为拉伸参数的函数的解析表达式。 Clairaut方程是在考虑一致性的情况下获得的，其解表明是拉伸片边界层方程的解。本研究重点介绍了在拉伸片问题中产生的一类边界层方程的解析解。

著录项

来源
《Applied Mechanics and Engineering》 |2013年第3期|955-964|共10页
作者
P.G. SIDDHESHWAR; U.S. MAHABALESWAR; H.I. ANDERSSON;
展开▼
作者单位

Department of Mathematics, Bangalore University Central College Campus Bangalore 560 001, Karnataka, INDIA;

Department of Mathematics, Government First Grade College for Women Hassan 573 201, Karnataka, INDIA;

Department of Energy and Process Engineering Norwegian University of Science and Technology 7491 Trondheim, NORWAY;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
differential equations; Clairaut equation; Newtonian liquid; stretching sheet; suction/injection;

机译：微分方程;Clairaut方程;牛顿液体拉伸片吸/注射;

相似文献

外文文献
中文文献
专利

1. A NEW ANALYTICAL PROCEDURE FOR SOLVING THE NON-LINEAR DIFFERENTIAL EQUATION ARISING IN THE STRETCHING SHEET PROBLEM [J] . P. G. SIDDHESHWAR, U. S. MAHABALESWAR, H. I. ANDERSSON International Journal of Applied Mechanics and Engineering . 2013,第3期

机译：解拉伸板问题中非线性微分方程的一种新的解析方法
2. Optimal Homotopy Asymptotic Solutions for Nonlinear Ordinary Differential Equations Arising in Flow and Heat Transfer due to Nonlinear Stretching Sheet [J] . Mahantesh M. Nandeppanavar, K. Vajravelu, P. S. Datti Heat transfer . 2016,第1期

机译：非线性拉伸片引起的流动和传热的非线性常微分方程的最优同伦渐近解
3. Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models 2014 [J] . Santanu SahaRay, Rasajit K.Bera, AdemK?l??man, Abstract and applied analysis . 2015,第6期

机译：求解物理模型中出现的偏微分方程和积分方程的解析和数值方法2014
4. Exact line search method for solving nonsymmetric algebraic riccati equations arising from open-loop linear quadratic differential games [C] . Kirtyana Nindita, Salmah International Conference on Instrumentation, Control and Automation . 2016

机译：解开环线性二次微分对策引起的非对称代数黎卡提方程的精确线搜索方法
5. Analytical and numerical solutions of differential equations arising in fluid flow and heat transfer problems. [D] . Sweet, Erik. 2009

机译：在流体流动和传热问题中产生的微分方程的解析和数值解。
6. A Majorant Method For Non-Linear Partial Differential Equations [O] . S. Bergman, M. Schiffer 1951

机译：非线性偏微分方程的一种主要方法
7. A New Analytical Procedure for Solving the Non-Linear Differential Equation Arising in the Stretching Sheet Problem [O] . Siddheshwar P.G., Mahabaleswar U.S., Andersson H.I. 2013

机译：求解拉伸问题中非线性微分方程的一种新的解析程序
8. Topological Problems Arising when Solving Boundary Value Problems for Elliptic Partial Differential Equations by the Method of Finite Differences [R] . Cryer, C. W. 1969

机译：用有限差分法求解椭圆偏微分方程边值问题时的拓扑问题

A NEW ANALYTICAL PROCEDURE FOR SOLVING THE NON-LINEAR DIFFERENTIAL EQUATION ARISING IN THE STRETCHING SHEET PROBLEM

摘要

著录项

相似文献

相关主题

期刊订阅