Analytical Solutions of Some Fully Developed Flows of Couple Stress Fluid between Concentric Cylinders with Slip Boundary Conditions | Zendy

M. Devakar | Zendy; D. Sreenivasu | Zendy; B. Shankar | Zendy

Open Access

Analytical Solutions of Some Fully Developed Flows of Couple Stress Fluid between Concentric Cylinders with Slip Boundary Conditions

Author(s) -

M. Devakar,

D. Sreenivasu,

B. Shankar

Publication year - 2014

Publication title -

international journal of engineering mathematics

Language(s) - English

Resource type - Journals

eISSN - 2356-7007

pISSN - 2314-6109

DOI - 10.1155/2014/785396

Subject(s) - concentric , mechanics , newtonian fluid , slip (aerodynamics) , cylinder , limiting , pressure gradient , boundary value problem , stress (linguistics) , non newtonian fluid , classical mechanics , materials science , physics , geometry , thermodynamics , mathematics , engineering , mechanical engineering , linguistics , philosophy , quantum mechanics

We establish, in this paper, the closed form analytical solutions of steady fully developed flows of couple stress fluid between two concentric cylinders, generated due to the constant pressure gradient or the translatory motion of the outer cylinder or both, using the slip boundary conditions. The classical solutions for Newtonian fluid in the hydrodynamic case appear as a limiting case of our solutions. The velocity profiles of the flows are presented and the effect of various parameters on velocity is discussed. The results indicate that the presence of couple stresses decreases the velocity of the fluid

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