scispace - formally typeset
Search or ask a question
Topic

Second-order fluid

About: Second-order fluid is a research topic. Over the lifetime, 336 publications have been published within this topic receiving 8403 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the homotopy analysis method is employed to give analytic solutions of magnetohydrodynamic viscous flows of non-Newtonian fluids over a stretching sheet.
Abstract: A powerful, easy-to-use analytic technique for nonlinear problems, the homotopy analysis method, is employed to give analytic solutions of magnetohydrodynamic viscous flows of non-Newtonian fluids over a stretching sheet. For the so-called second-order and third-order power-law fluids, the explicit analytic solutions are given by recursive formulas with constant coefficients. Also, for real power-law index and magnetic field parameter in a quite large range, an analytic approach is proposed. All of our analytic results agree well with numerical ones. In particular, a simple analytic formula of the dimensionless velocity gradient at the wall is found, which is accurate for all real power-law indices and magnetic field parameters. This analytic formula can give sufficiently accurate results for the skin friction on the moving sheet that it would find wide application in industries. Physically, they indicate that the magnetic field tends to increase the skin friction, and that this effect is more pronounced for shear-thinning than for shear-thickening fluids.

566 citations

Journal ArticleDOI
TL;DR: In this paper, the flow of an incompressible second-order fluid past a stretching sheet is studied, and the authors present a study of the flow in the presence of a stretch sheet.
Abstract: This paper presents a study of the flow of an incompressible second-order fluid past a stretching sheet. The problem has a bearing on some polymer processing application such as the continuous extrusion of a polymer sheet from a die.

491 citations

Journal ArticleDOI
TL;DR: In this paper, the cross-stream migration of a deformable drop in a unidirectional shear flow of a second-order fluid is considered and the particle velocity due to the separate effects of deformation and viscoelastic rheology is obtained.
Abstract: The cross-stream migration of a deformable drop in a unidirectional shear flow of a second-order fluid is considered. Expressions for the particle velocity due to the separate effects of deformation and viscoelastic rheology are obtained. The direction and magnitude of migration are calculated for the particular cases of Poiseuille flow and simple shear flow and compared with experimental data.

291 citations

Journal ArticleDOI
TL;DR: In this article, the lateral migration of a neutrally buoyant rigid sphere suspended in a second-order fluid is studied theoretically for unidirectional two-dimensional flows, and the authors demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow.
Abstract: The lateral migration of a neutrally buoyant rigid sphere suspended in a second-order fluid is studied theoretically for unidirectional two-dimensional flows. The results demonstrate the existence of migration induced by normal stresses whenever there is a lateral variation of the shear rate in the undisturbed flow. The migration occurs in the direction of decreasing absolute shear rate, which is towards the centre-line for a plane Poiseuille flow and towards the outer cylinder wall for Couette flow. The direction of migration agrees with existing experimental data for a viscoelastic suspending fluid, and qualitative agreement is found between the theoretically predicted and experimentally measured sphere trajectories.

257 citations

Journal ArticleDOI
TL;DR: In this article, the motion of a slender axisymmetric rod-like particle is investigated for translation through a quiescent second-order fluid and for rotation in a simple shear flow of the same material.
Abstract: The motion of a slender axisymmetric rod-like particle is investigated theoretically for translation through a quiescent second-order fluid and for rotation in a simple shear flow of the same material. The analysis consists of an asymptotic expansion about the limit of rheologically slow flow, coupled with an application of a generalized form of the reciprocal theorem of Lorentz to calculate the force and torque on the particle. It is shown that an arbitrarily oriented particle with fore-aft symmetry translates, to a first approximation, at the same rate as in an equivalent Newtonian fluid, but that the motion of particles with no fore-aft symmetry may be modified at the same level of approximation. In addition, it is found that freely translating particles with fore-aft symmetry exhibit a single stable orientation with the axis of revolution vertical. In simple shear flow at small and moderate shear rates, the non-Newtonian nature of the suspending fluid causes a drift through Jeffery orbits to the equilibrium orbit C = 0 in which the particle rotates about its axis of revolution. At larger shear rates, the particle aligns itself in the direction of flow and ceases to rotate. Comparison with the available experimental data indicates that the measured rate of orbit drift may be used to determine the second normal stress difference parameter of the second-order fluid model. Finally, in an appendix, some preliminary observations are reported of the motion of slender rod-like particles falling through a quiescent viscoelastic fluid.

217 citations

Network Information
Related Topics (5)
Reynolds number
68.4K papers, 1.6M citations
78% related
Partial differential equation
70.8K papers, 1.6M citations
77% related
Laminar flow
56K papers, 1.2M citations
75% related
Boundary value problem
145.3K papers, 2.7M citations
73% related
Boundary layer
64.9K papers, 1.4M citations
73% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20214
20207
20193
20183
20173
20167