Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet

سال انتشار: 1391
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 64

فایل این مقاله در 8 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJCCE-31-3_014

تاریخ نمایه سازی: 17 خرداد 1404

چکیده مقاله:

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade´ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Graphical results have been presented and discussed for the pertinent parameters. The results attained in this paper confirm the idea that HPTM is powerful mathematical tool and it can be applied to a large class of linear and nonlinear problems arising in different fields of science and engineering.

کلیدواژه ها:

Homotopy perturbation transform method ، MHD boundary layer equation ، Nonlinear porous stretching sheet ، Pade´approximants

نویسندگان

Yasir Khan

Department of Mathematics, Zhejiang University, Hangzhou ۳۱۰۰۲۷, CHINA

M.A Abdou

Physics Department, Faculty of Science, Mansoura University, Mansoura, ۳۵۵۱۶ EGYPT

Naeem Faraz

Modern Textile Institute, Donghua University, ۱۸۸۲ Yan’an Xilu Road, Shanghai ۲۰۰۰۵۱, CHINA

Ahmet Yildirim

Department of Mathematics, Science Faculty, Ege University, ۳۵۱۰۰ Bornova Izmir, TURKEY

Q. Wu

Department of Mathematics, Zhejiang University, Hangzhou ۳۱۰۰۲۷, CHINA

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • Sakiadis B.C., Boundary-Layer Behavior on Continuous Solid Surfaces, AIChE J., ...
  • Sakiadis B.C., Boundary Layer Behaviour on Continuous Solid Surface II: ...
  • Chaim T.C., Hydromagnetic Flow Over a Surface Stretching with a ...
  • Magyari J.E., Keller B., Exact Solutions for Self-Similar Boundary-Layer Flows ...
  • Ingham D.B.,PopI., "Transport Phenomena in Porous Media", Pergamon,Oxford, (۲۰۰۲) ...
  • Nield D.A., Bejan A., "Convection in Porous Media", Springer,New York, ...
  • Magyari E., Pop I., Keller B., New Analytical Solutions of ...
  • McCormack P.D., Crane L., "Physics of Fluid Dynamics",New York, Academic ...
  • Donald Ariel P., The Three-Dimensional Flow Past a Stretching Sheet ...
  • Donald Ariel P., Extended Homotopy Perturbation Method and Computation of ...
  • Ziabakhsh Z., Domairry G., Bararnia H., Babazadeh H., Analytical Solution ...
  • Raftari B., Yildirim A., The Application of Homotopy Perturbation Method ...
  • Wazwaz A.M., A Study on a Boundary- Layer Equation Arising ...
  • Wazwaz A.M., The Modified Decomposition Method and Pade´ Approximants for ...
  • Xu L., He’s Homotopy Perturbation Method for a Boundary Layer ...
  • Noor M.A., Mohyud-Din S.T., Modified Variational Iteration for a Boundary ...
  • He J.H., Some Asymptotic Methods for Strongly Nonlinear Equation, Int. ...
  • He J.H., A Simple Perturbation Approach to Blasius Equation, Appl. ...
  • Abbasbandy S., A Numerical Solution of Blasius Equation by Adomian’s ...
  • Rashidi M.M., The Modified Differential Transorm Method for Solving MHD ...
  • Ganji D.D., Babazadeh H., Noori F., Pirouz M.M., Janipour M., ...
  • Fathizadeh M., Rashidi F., Boundary Layer Convective Heat Transfer with ...
  • Jalaal M., Nejad M.G., Jalili P., Esmaeilpour M., Bararnia H., ...
  • Donald Ariel P., Homotopy Perturbation Method and the Natural Convection ...
  • Khan Y., Faraz N., Application of Modified Laplace Decomposition Method ...
  • Khan Y., Mohyud-Din S.T., Coupling of He's Polynomials and Laplace ...
  • Faraz N., Khan Y., Yildirim A., Analytical Approach to Two-Dimensional ...
  • Alomari A.K., Noorani M.S.M., Nazar R., Homotopy Solution for Flow ...
  • Alomari A.K., Hashim I., Analysis of Fully Developed Flow and ...
  • Khan Y., Wu Q., Homotopy Perturbation Transform Method for Nonlinear ...
  • Hesameddini E., Latifzadeh H., Reconstruction of Variational Iteration Algorithm Using ...
  • Khan Y., An Effective Modification of the Laplace Decomposition Method ...
  • Khan Y., Faraz N., A new Approach to Differential Difference ...
  • Wazwaz A.M., The Combined Laplace Transform-Adomian Decomposition Method for Handling ...
  • He J.H., A Coupling Method of Homotopy Technique and Perturbation ...
  • Hesameddini E., Latifizadeh H., An Optimal Choice of Initial Solutions ...
  • Ghorbani A., Beyond adomian’s Polynomials: He Polynomials, Chaos Solitons Fractals, ...
  • Wazwaz A.M., The Variational Iterative Method for Solving Two Forms ...
  • Boyd J.P., Padé Approximant Algorithm for Solving Nonlinear Ordinary Differential ...
  • Baker G.A., "Essentials of Padé Approximants", Academic Press, London, (۱۹۷۵) ...
  • نمایش کامل مراجع