Unsteady flow of fractional Oldroyd-B fluids through rotating annulus

Autor: Tahir Madeeha, Naeem Muhammad Nawaz, Javaid Maria, Younas Muhammad, Imran Muhammad, Sadiq Naeem, Safdar Rabia
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Open Physics, Vol 16, Iss 1, Pp 193-200 (2018)
Druh dokumentu: article
ISSN: 2391-5471
DOI: 10.1515/phys-2018-0028
Popis: In this paper exact solutions corresponding to the rotational flow of a fractional Oldroyd-B fluid, in an annulus, are determined by applying integral transforms. The fluid starts moving after t = 0+ when pipes start rotating about their axis. The final solutions are presented in the form of usual Bessel and hypergeometric functions, true for initial and boundary conditions. The limiting cases for the solutions for ordinary Oldroyd-B, fractional Maxwell and Maxwell and Newtonian fluids are obtained. Moreover, the solution is obtained for the fluid when one pipe is rotating and the other one is at rest. At the end of this paper some characteristics of fluid motion, the effect of the physical parameters on the flow and a correlation between different fluid models are discussed. Finally, graphical representations confirm the above affirmation.
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