EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED SECOND GRADE FLUID DUE TO A LONGITUDINAL QUADRATIC TIME-DEPENDENT SHEAR STRESS

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ATHAR M.; FETECAU C.; FETECAU CORINA; AWAN A.U.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2010 | Volume:2 | Issue:3 Page(s): 153-165

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Title

EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED SECOND GRADE FLUID DUE TO A LONGITUDINAL QUADRATIC TIME-DEPENDENT SHEAR STRESS

Author(s)

ATHAR M. | FETECAU C. | FETECAU C.RINA | AWAN A.U. | Issue Writer Certificate

Keywords

GENERALIZED SECOND GRADE FLUID

VELOCITY FIELD

SHEAR STRESS

EXACT SOLUTIONS

Abstract

The VELOCITY FIELD and the adequate SHEAR STRESS, corresponding to the flow of a GENERALIZED SECOND GRADE FLUID in an annular region, due to a quadratic time-dependent SHEAR STRESS, are determined by means of the Laplace and the finite Hankel transforms. The solutions that have been obtained satisfy both the governing equations and all imposed initial and boundary conditions. For b®1 or b®1 and a1®0, the corresponding solutions for a second grade fluid, respectively, for the Newtonian fluid, performing the same motion, are obtained from general solutions. Finally, the influence of the material and fractional parameters on the SHEAR STRESS as well as a comparison between models is drawn by graphical illustrations.

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APA: Copy

ATHAR, M., FETECAU, C., FETECAU, CORINA, & AWAN, A.U.. (2010). EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED SECOND GRADE FLUID DUE TO A LONGITUDINAL QUADRATIC TIME-DEPENDENT SHEAR STRESS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 2(3), 153-165. SID. https://sid.ir/paper/605718/en

Vancouver: Copy

ATHAR M., FETECAU C., FETECAU CORINA, AWAN A.U.. EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED SECOND GRADE FLUID DUE TO A LONGITUDINAL QUADRATIC TIME-DEPENDENT SHEAR STRESS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2010;2(3):153-165. Available from: https://sid.ir/paper/605718/en

IEEE: Copy

M. ATHAR, C. FETECAU, CORINA FETECAU, and A.U. AWAN, “EXACT SOLUTIONS FOR THE FLOW OF A GENERALIZED SECOND GRADE FLUID DUE TO A LONGITUDINAL QUADRATIC TIME-DEPENDENT SHEAR STRESS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 2, no. 3, pp. 153–165, 2010, [Online]. Available: https://sid.ir/paper/605718/en

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