Open AccessFundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method
Author(s) -
Lalrinpuia Tlau
Publication year - 2020
Publication title -
applied and computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.129
H-Index - 4
eISSN - 2336-1182
pISSN - 1802-680X
DOI - 10.24132/acm.2020.628
Subject(s) - weissenberg number , homotopy analysis method , tangent , slip (aerodynamics) , compressibility , hagen–poiseuille equation , mathematics , mechanics , newtonian fluid , homotopy , parasitic drag , mathematical analysis , hyperbolic function , flow (mathematics) , classical mechanics , physics , geometry , drag , pure mathematics , thermodynamics
The presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtained for each problem and the effect of the flow parameters are discussed while being supplemented by graphical displays. Increasing the slip parameter reduces the fluid velocity for both problems, respectively. An increase in the Weissenberg number shows that skin friction at the lower wall reduces. This shows that a dominant elastic force is crucial in reducing the skin friction.