Journal ArticleDOI
Secondary flows due to axial shearing of a third grade fluid between two eccentrically placed cylinders
TLDR
In this paper, the authors use a perturbation technique in which the perturbance parameter is a geometric measure of the departure from the geometry in which rectilinear flow is possible.About:
This article is published in International Journal of Engineering Science.The article was published on 1999-03-01. It has received 40 citations till now. The article focuses on the topics: Newtonian fluid & Secondary flow.read more
Citations
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Journal ArticleDOI
Exact flow of a third grade fluid past a porous plate using homotopy analysis method
TL;DR: An exact analytical solution of the governing nonlinear differential equation is constructed using homotopy analysis method in this paper, which is observed that the relevant perturbation solution corresponds to a special case of the presented solution.
Journal ArticleDOI
Flow of a generalized second grade non-Newtonian fluid with variable viscosity
Mehrdad Massoudi,Tran X. Phuoc +1 more
TL;DR: In this article, a modified constitutive equation for a second grade fluid is proposed so that the model would be suitable for studies where shear-thinning (or shear thickening) may occur.
Journal ArticleDOI
A general criterion for viscoelastic secondary flow in pipes of noncircular cross section
TL;DR: In this paper, the authors investigated the mechanism for secondary recirculations in non-Newtonian flows in a noncircular pipe, and developed a general criterion on the direction of the secondary flow based on the fluid rheology and the cross-sectional geometry of the pipe.
Journal ArticleDOI
A review of the second normal-stress difference; its importance in various flows, measurement techniques, results for various complex fluids and theoretical predictions
Osama Maklad,Robert J. Poole +1 more
TL;DR: In this paper, the second normal-stress difference (N2) is defined as the variation with shear rate of the shear viscosity and the so-called first and second normal stress differences.
Journal ArticleDOI
MHD rotating flow of a third-grade fluid on an oscillating porous plate
TL;DR: In this article, the rotating flow of a third-grade fluid on an oscillating porous plate in the presence of a transverse magnetic field is considered and an analytic solution of the governing nonlinear boundary layer equation is obtained.
References
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Book
The non-linear field theories of mechanics
TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Book ChapterDOI
Stress-Deformation Relations for Isotropic Materials
Ronald S. Rivlin,J. L. Ericksen +1 more
TL;DR: In this article, it was shown that the mechanics of a homogeneous isotropic ideally elastic material may be developed on the basis of a description of the relevant elastic properties of the material in terms of a strain energy function W which is a single-valued function of three scalar invariants of the deformation, I 1, I 2 and I 3.
Journal ArticleDOI
An Approximation Theorem for Functionals, with Applications in Continuum Mechanics
Bernard D. Coleman,Walter Noll +1 more
TL;DR: In this paper, a brief discussion of the physical motivation behind the mathematical considerations to be presented in Part I of this paper is presented. But this discussion is limited to the case where the authors are concerned with a single point of view.
Journal ArticleDOI
Fluids of differential type: Critical review and thermodynamic analysis
TL;DR: In this paper, the authors provide an extended analysis of the genesis and development of fluids of differential type, and show that certain ideas of flow retardation and model approximation have been consistently misinterpreted.