A study of squeezing flow
TL;DR: In this article, an approximate iterative solution of the continuity and momentum equations is derived for the instantaneous distribution of velocity within the fluid and the reaction on the surfaces of parallel surfaces, and the results obtained should be of interest in connection with the study of the performance of transiently loaded bearings in reciprocating engines.
Abstract: The problem of the squeezing of a film of liquid between two parallel surfaces is considered. Approximate expressions are deduced for the instantaneous distribution of velocity within the fluid and the reaction on the surfaces. These are obtained by an approximate iterative solution of the continuity and momentum equations. The radial pressure distribution in a squeezed film is found to be due partly to the action of viscosity and partly to inertia effects. The latter cause the relationship between the reaction on the surfaces and their relative velocity to be non-linear. This effect is significant for conditions where the Reynolds number based upon the distance between the surfaces and their relative velocity is greater than unity. The results obtained should be of interest in connection with the study of the performance of transiently loaded bearings in reciprocating engines, and a possible application in the field of chemical engineering might arise in connection with the phenomenon of adhesion.
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TL;DR: In this article, the deformations and stresses during squeeze flows are evaluated for a wider class of materials than previously covered in articles on this subject, including generalised Newtonian fluids, yield stress fluids, as well as elastic and viscoelastic materials.
Abstract: The deformations and stresses during squeeze flows are evaluated for a wider class of materials than previously covered in articles on this subject. These include generalised Newtonian fluids, yield stress fluids, as well as elastic and viscoelastic materials. Wherever possible, results are given in a compact mathematical form. The effect of different boundary conditions (no slip, perfect slip and partial slip) and how these interact with different types of material behaviour to give a variety of macroscopic responses is also discussed. The significance of this in using squeeze flow as a rheometry method is highlighted and a state-of-the-art view of squeeze flow rheometry is given.
384 citations
TL;DR: Fluid inertia effects in squeeze films are analyzed in this paper, where the agreement between theory and experiment is very good, and the experimental results are also shown to be very good as well.
Abstract: Fluid inertia effects in squeeze films are analyzed. Experimental results are also presented. The agreement between theory and experiment is very good.
141 citations
TL;DR: In this article, the flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates is investigated, and the unsteady Navier-Stokes equations are reduced to a nonlinear fourth-order differential equation by using similarity solutions.
Abstract: The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates is investigated. The unsteady Navier-Stokes equations are reduced to a nonlinear fourth-order differential equation by using similarity solutions. Homotopy analysis method (HAM) is used to solve this nonlinear equation analytically. The convergence of the obtained series solution is carefully analyzed. The validity of our solutions is verified by the numerical results obtained by fourth-order Runge-Kutta.
136 citations
TL;DR: In this article, the effects of fluid inertia on viscous flow were analyzed using the traditional perturbation method and He's homotopy perturbing method, and the results showed that He's method appeared to be more effective and easy to implement.
Abstract: Axisymmetric viscous flow, generated by two large parallel plates slowly approaching each other, is studied where the effects of fluid inertia are taken into account. The problem is analyzed using the traditional perturbation method and He's homotopy perturbation method. The results obtained are compared, showing that the homotopy perturbation method appears to be more effective and easy to implement.
113 citations
TL;DR: In this article, a historical account of the development of squeeze films from the original Reynolds-Stefan equation to the present time is given, including the effects of inertia, variable viscosity, non-Newtonian fluids, surf ace tension, dynamic loading and surface roughness.
110 citations
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TL;DR: In this paper, a method for including the inertia effects by solving the equation of motion approximately, in its integral form, is demonstrated with reference to the particular problem of radial flow between parallel plates.
64 citations