Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Exact solutions for a rotational flow of generalized second grade fluids through a circular cylinder.
Authors: Amir Mahmood, Saifullah, Qammar Rubab
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Abstract
In this note the velocity field and the associated tangential stress corresponding to the rotational flow of a generalized second grade fluid within an infinite circular cylinder are determined by means of the Laplace and Hankel transforms. At time t=0 the fluid is at rest and the motion is produced by the rotation of the cylinder, around its axis, with the angular velocity Ωt. The velocity field and the adequate shear stress are presented under integral and series forms in terms of the generalized G-functions. Furthermore, they are presented as a sum between the Newtonian solutions and the adequate non-Newtonian contributions. The corresponding solutions for the ordinary second grade fluid and Newtonian fluid are obtained as particular cases of our solutions for β=1, respectively α=0 and β=1.E-mail: ; ;
Fulltext
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Contents
- Properties of one-sided ideals of pseudonormed rings when taking the quotient rings.
- Exact solutions for a rotational flow of generalized second grade fluids through a circular cylinder.
- Mathematical models in regression credibility theory.
- Ore extensions over 2-primal Noetherian rings.
- The G(2,ℜ) -orbits of the homogeneous polynomial differential systems.
- Hopf bifurcations analysis of a three-dimensional nonlinear system.
- A numerical approximation of the free-surface heavy inviscid flow past a body.
- The sets of the classes ~Mp, k and their subsets.
- Queuing system evolution in phase merging scheme.
- About Division of d-Convex Simple Graphs in M-Prime Graphs.
- Continuity of the norm of a composition operator between weighted Banach spaces of holomorphic functions.
- Four-dimensional Ricci-flat space defined by the KP-equation.
- Differentially prime, quasi-prime and Δ-modules.
- Classification of GL(2,ℜ)-orbit's dimensions for the differential system with cubic nonlinearities.
- Professor Dmitrii Lozovanu - 60th anniversary.
