کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473405 698790 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New exact analytical solutions for Stokes’ first problem of Maxwell fluid with fractional derivative approach
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
New exact analytical solutions for Stokes’ first problem of Maxwell fluid with fractional derivative approach
چکیده انگلیسی

The unsteady flow of an incompressible Maxwell fluid with fractional derivative induced by a sudden moved plate has been studied using Fourier sine and Laplace transforms. The obtained solutions for the velocity field and shear stress, written in terms of generalized GG functions, are presented as sum of the similar Newtonian solutions and the corresponding non-Newtonian contributions. The non-Newtonian contributions, as expected, tend to zero for λ→0λ→0. Furthermore, the solutions for ordinary Maxwell fluid, performing the same motion, are obtained as limiting cases of general solutions and verified by comparison with previously known results. Finally, the influence of the material and the fractional parameters on the fluid motion, as well as a comparison among fractional Maxwell, ordinary Maxwell and Newtonian fluids is also analyzed by graphical illustrations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 3, August 2011, Pages 1013–1023
نویسندگان
, , , ,