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Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 06 بهمن 1403 اصل مقاله (3.07 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61873.2695 | ||
| نویسندگان | ||
| Prithvi Suresh؛ Vidya Shree Ramareddy؛ Patil Mallikarjun Basavaraj* | ||
| Department of Studies and Research in Mathematics, Tumkur University, Tumkur-572103, Karnataka, India. | ||
| چکیده | ||
| In the current paper, we newly established the Taylor wavelet operational matrix method to study Revlin Ericksen fluid flowing over the stretching sheet in the context of magnetic field. Taylor wavelet operational matrix method is newly devised method for transforming the non linear differential equations to nonlinear algebraic equations. This computation is flexible and facile due to the generation of integral matrices. From these integral matrices unresolved Taylor wavelet coefficients are determined with the help of solvers. Thus solution to the given Revlin Ericksen fluid flow is achieved. This analysis examines MHD Rivlin-Ericksen fluid flowing in the steady state caused by stretching a sheet while accounting for inverse Darcy model. The aforementioned computational method is for seeking solution to ordinary differential equations. Firstly, the momentum equation is changed to ordinary differential equation by employing the similarity transformation then Taylor wavelet method has to be implemented for further analysis. The effect of viscoelastic parameter, inverse Darcy number, magnetic parameter and inclination angle on axial and transverse velocity are taken into consideration for study analysis. Engineering application tool Local skinfriction coefficient variation has been assessed for different parameters and estimated local skin friction coefficient is compared with bvp4c demonstrating compatibility of Taylor wavelet approach. | ||
| کلیدواژهها | ||
| Operational integration matrix؛ Rivlin erickson fluid؛ Taylor wavelet؛ Stretching sheet؛ Collocation method | ||
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آمار تعداد مشاهده مقاله: 218 تعداد دریافت فایل اصل مقاله: 234 |
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