Czasopismo
2010
|
Vol. 62, nr 4
|
305-317
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with the longitudinal flow of a generalized Maxwell fluid in an infinite circular cylinder, due to the longitudinal variable time-dependent shear stress that is prescribed on the boundary of the cylinder. The fractional calculus approach in the constitutive relationship model of a Maxwell fluid is introduced. The velocity field and the resulting shear stress are obtained by means of the Laplace and finite Hankel transforms and satisfy all the imposed initial and boundary conditions. The solutions corresponding to ordinary Maxwell fluids as well as those for Newtonian fluids are obtained as limiting cases of our general solutions. Finally, the influence of the fractional coefficient on the velocity and shear stress of the fluid is analyzed by graphical illustrations.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
305-317
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
autor
- Department of Mathematical Sciences CO MS ATS Institute of Information Technology Lahore. Pakistan, irnransmsrazi@gmail.com
Bibliografia
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- 8. D. TONG, W. RUIHE, Y. HESHAN, Exact solutions for the flow of non-Newtonian fluid with fractional derivative in an annular pipe. Science in China, Ser. G Physics, Mechanics and Astronomy, 48, 485-495, 2005.
- 9. W. AKHTAR, M. NAZAR, Exact solutions for the rotational flow of generalized Maxwell fluids in a circular cylinder, Bull. Math. Soc. Sci. Math. Roumania, 51, 99, No. 2, 93-101, 2008.
- 10. C. FETECAU, A.U. AWAN, CORINA FETECAU, To.ylor-Couette flow of an Oldroyd-B fluid in a circular cylinder subject to a time-dependent rotation, Bull. Math. Soc. Sci. Math. Roumania, 52, 100, No. 2, 117-128, 2009.
- 11. CORINA FETECAU, C. FETECAU, M. IMRAN, Axial Couette flow of an Oldroyd-B fluid due to a time-dependent shear stress, Math. Reports, 11, 61, No. 2, 145-154, 2009.
- 12. CORINA FETECAU, D. VIERU, M. ATHAR, C. FETECAU, Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constaiitly accelerating plate, Compt. Math. Appl., 57, 596-603, 2009.
- 13. D. VIERU, CORINA FETECAU, C. FETECAU, Flow of a generalized Oldroyd-B fluid due to a constantly accelerating plate, Appl. Math. Cornp., 201, 834-842, 2008.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0038-0019