Longitudinal and torsional oscillations of a rod in a non-Newtonian fluid
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Publication:794509
DOI10.1007/BF01236358zbMath0539.76005MaRDI QIDQ794509
Publication date: 1983
Published in: Acta Mechanica (Search for Journal in Brave)
linear differential equationsincompressible Rivlin-Ericksen fluid of second gradeinfinite rigid cylindrical rodlongitudinal and torsional harmonic oscillationsvelocity components
Related Items (35)
FLOW OF A VISCOELASTIC FLUID BETWEEN TWO ROTATING CIRCULAR CYLINDERS SUBJECT TO SUCTION OR INJECTION ⋮ On the motion of a second-grade fluid due to longitudinal and torsional oscillations of a cylinder: a numerical study ⋮ Exact solutions of accelerated flows for a Burgers' fluid. I: The case \(\gamma <\lambda ^2/4\) ⋮ Some exact solutions of the oscillatory motion of a generalized second-grade fluid in an annular region of two cylinders ⋮ Exact solutions for the flow of second-grade fluid in annulus between torsionally oscillating cylinders ⋮ Flow of fractional Maxwell fluid between coaxial cylinders ⋮ Exact solution for motion of an Oldroyd-B fluid over an infinite flat plate that applies an oscillating shear stress to the fluid ⋮ Starting solutions for oscillating motions of Oldroyd-B fluids in cylindrical domains ⋮ A note on longitudinal oscillations of a generalized Burgers fluid in cylindrical domains ⋮ Starting solutions for oscillating motions of a generalized Burgers' fluid in cylindrical domains ⋮ Longitudinal and torsional oscillations of a rod in an Oldroyd-B fluid with suction or injection ⋮ A note on the flow of a fluid with pressure-dependent viscosity in the annulus of two infinitely long coaxial cylinders ⋮ On the unsteady rotational flow of a fractional second grade fluid through a circular cylinder ⋮ Starting solutions for oscillating motions of an Oldroyd-B fluid over a plane wall ⋮ Effects of hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct ⋮ Flow due to the longitudinal and torsional oscillation of a cylinder ⋮ Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model. ⋮ Starting solutions for some unsteady unidirectional flows of a second grade fluid ⋮ Starting solutions for the motion of a second grade fluid due to longitudinal and torsional oscillations of a circular cylinder ⋮ Symmetries and solution of a micropolar fluid flow through a cylinder ⋮ On exact solutions for some oscillating motions of a generalized Oldroyd-B fluid ⋮ Exact solutions for some oscillating motions of a fractional Burgers' fluid ⋮ A note on the unsteady flow of a generalized second-grade fluid through a circular cylinder subject to a time dependent shear stress ⋮ General periodic flows of fractional Oldroyd-B fluid for an edge ⋮ Homotopy solutions for a generalized second-grade fluid past a porous plate ⋮ Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model ⋮ Unsteady Couette flows in a second grade fluid with variable material properties ⋮ On the oscillating motion of an Oldroyd-B fluid between two infinite circular cylinders ⋮ Peristaltic Flow of Couple Stress Fluid in a Non-Uniform Rectangular Duct Having Compliant Walls ⋮ Flow of fractional Maxwell fluid in oscillating pipe-like domains ⋮ Fluctuating flow of a Maxwell fluid past a porous plate with variable suction ⋮ Finite element solution for flow of a third grade fluid past a horizontal porous plate with partial slip ⋮ Exact solutions for some simple flows of an Oldroyd-B fluid ⋮ Starting solutions for the oscillating motion of a Maxwell fluid in cylindrical domains ⋮ Velocity and shear stress for an Oldroyd-B fluid within two cylinders
Cites Work
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- An approximation theorem for functionals, with applications in continuum mechanics
- An exact solution for the flow of a non-Newtonian fluid past an infinite porous plate
- On a class of exact solutions to the equations of motion of a second grade fluid
- Flow and stability of a second grade fluid between two parallel plates rotating about noncoincident axes
- The flow of a second order fluid between rotating parallel plates
- Uniqueness and drag for fluids of second grade in steady motion
- On Uniqueness and Nonuniqueness in the Plane Creeping Flows of Second Order Fluids
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