Exact solution of unsteady flow generated by sinusoidal pressure gradient in a capillary tube

Autor: M. Abdulhameed, D. Vieru, R. Roslan, S. Shafie
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 54, Iss 4, Pp 935-939 (2015)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2015.07.014
Popis: In this paper, the mathematical modeling of unsteady second grade fluid in a capillary tube with sinusoidal pressure gradient is developed with non-homogenous boundary conditions. Exact analytical solutions for the velocity profiles have been obtained in explicit forms. These solutions are written as the sum of the steady and transient solutions for small and large times. For growing times, the starting solution reduces to the well-known periodic solution that coincides with the corresponding solution of a Newtonian fluid. Graphs representing the solutions are discussed.
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