Numerical solution of general boundary layer problems by the method of differential quadrature
Author(s):
Abstract:
Accurate numerical solutions to some boundary layer equations are presented for boundary layer flows of incompressible Newtonian fluid over a semi-infinite plate. The differential quadrature method (DQM) is first used to reduce the governing nonlinear differential equations to a set of nonlinear algebraic equations. The Newton-Raphson method is then employed to solve the resulting system of nonlinear algebraic equations. The proposed formulation is applied here to solve some boundary layer problems including Blasius,Sakiadis, Falkner-Skan, magnetohydrodynamic (MHD) Falkner-Skan, Jeffery-Hamel, unsteady two-dimensional and three-dimensional MHD flows. A simple scheme is also presented for solving Blasius boundary layer equation. In this techniques, Blasius boundary value problem is first converted to a pair of nonlinear initial-value problems and then solved by a step-by-step DQM. The accuracy and efficiency of the proposed formulations are demonstrated by comparing the calculated results with those of other numerical and semi-analytical methods. Accurate numerical solutions are achieved using both formulations via a small number of grid points for all the cases considered
Keywords:
Language:
English
Published:
Scientia Iranica, Volume:20 Issue: 4, 2013
Page:
1278
https://magiran.com/p1222422
دانلود و مطالعه متن این مقاله با یکی از روشهای زیر امکان پذیر است:
اشتراک شخصی
با عضویت و پرداخت آنلاین حق اشتراک یکساله به مبلغ 1,390,000ريال میتوانید 70 عنوان مطلب دانلود کنید!
اشتراک سازمانی
به کتابخانه دانشگاه یا محل کار خود پیشنهاد کنید تا اشتراک سازمانی این پایگاه را برای دسترسی نامحدود همه کاربران به متن مطالب تهیه نمایند!
توجه!
- حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران میشود.
- پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانههای چاپی و دیجیتال را به کاربر نمیدهد.
In order to view content subscription is required
Personal subscription
Subscribe magiran.com for 70 € euros via PayPal and download 70 articles during a year.
Organization subscription
Please contact us to subscribe your university or library for unlimited access!