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Oscillatory Normal Stresses in Dilute Polymer Solutions
The Journal of Chemical Physics, 1969The Rouse–Zimm theories of polymer solution dynamics have been extended to include normal stresses as well as shear stresses and have been evaluated for low-amplitude oscillatory shear. Two normal stress coefficients (ζd, characterizing a displacement function, and ζ*, characterizing the oscillation about the displacement) appear as analogs to the ...
L. C. Akers, Michael C. Williams
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Non-Newtonian oscillatory layer flow, approximate solution
Collection of Czechoslovak Chemical Communications, 1979The problem of the oscillatory flow of pseudoplastic liquid in vicinity of the infinitely long horizontal plane is formulated in stresses. For Re i.e. for conditions of oscillatory boundary layer the problem is solved approximately by the Galerkin method.
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Non-conservative oscillatory systems with periodic solutions
International Journal of Non-Linear Mechanics, 1981Abstract This note extends the work of previous authors to the closed orbits of non-linear oscillatory systems. The simple phase plane analysis is used.
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Improved numerical solutions of nonlinear oscillatory systems
International Journal for Numerical Methods in Engineering, 2019SUMMARYWe consider numerical solutions of nonlinear oscillatory systems where closed‐form solutions do not exist. Such systems occur in buckling of columns, electrical oscillations of circuits containing inductance with an iron core, and vibration of mechanical systems with nonlinear restoring forces. We have improved the accuracy, stability, and speed
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Oscillatory solutions of some integrable differential equations
Monatshefte für Mathematik, 2010In some cases, the analysis of a class of reaction-diffusion equations of the form \[ \Delta u+a\left( x,u\right) +b\left( \left| x\right| \right) x\cdot\nabla u=0,\qquad\left| x\right| >0,\;n\geq3, \] reduces to the study of the asymptotic behavior of solutions to the nonlinear differential equation \[ y^{\prime\prime}+p\left( t\right) \left( y ...
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Oscillatory properties of solutions of the equations
Applicable Analysis, 1996We study the oscillation and nonoscillat,ion of solutions of the two equations Also, for the (-) equation conditions for the faster-than-exponential growth and decay of solutions are obtained. Properties of the characteristic equations are used.
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Oscillatory solutions of certain nonlinear problems
1991This paper deals with the existence, behaviour and approximation of oscillatory solutions of the equation y''+p(y, t)y'+s^2*y=f(y, t), s>0 is a real parameter, with the corresponding initial or boundary conditions.
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Large amplitude oscillatory shear flow: Microstructural assessment of polymeric systems
Progress in Polymer Science, 2022Milad Kamkar +2 more
exaly
A Frequency Criterion for Oscillatory Solutions
SIAM Journal on Control, 1970openaire +2 more sources