Abstract
Oil skimmer is a useful tool in recovering all types of floating waste oils, greases and fats from water surfaces. Lubricant film flow velocity approximation is an important problem of oil skimmer belt speed adjustment. The adjustment belt speed level is up to several physical parameters of oil types. A thin lubricant film flow velocity on a moving belt oil skimmer can be modeled in a form of a nonlinear differential equation as a boundary value problem. The model is providing the lubricant film flow velocity in each thickness layers. In this research, a centered in space finite difference method and a Quasi-Newton iterative method are proposed to approximate the solutions of the nonlinear thin lubricant film flow velocity model. Their numerical simulations of a thin lubricant film flow velocity on a moving oil skimmer belt with varied physical parameters are investigated. The proposed numerical techniques give good agreement approximated solutions in several moving belts speed levels with the external force factor. These are then useful to achieve the optimum belt oil skimmer speed for each lubricant type.
Highlights
An oil skimmer is a mechanical gadget that isolates oil or particles drifting on a fluid surface and are most normally utilized for oil slick remediation, as a piece of sleek water treatment frameworks, expelling oil from machine apparatus coolant and expelling oil from watery parts washers
The objective of this paper is to study the flow of third-grade fluid in helical screw rheometer (HSR) where the effects of curvature and of flights are neglected by assuming that the helical channel is “unwrapped.” The geometry is approximated as a shallow infinite channel
A couple of two numerical techniques such as a centered in space finite difference technique and the Quasi-Newton iterative method is used to approximate the solutions of a nonlinear mathematical model of lubricant film flow velocity on a belt type oil skimmer
Summary
An oil skimmer is a mechanical gadget that isolates oil or particles drifting on a fluid surface and are most normally utilized for oil slick remediation, as a piece of sleek water treatment frameworks, expelling oil from machine apparatus coolant and expelling oil from watery parts washers. A useful benefit of the ADM is that it has proven to be a reliable alternative to the approach used in the Taylor series and other series This approach was used to obtain analytical and approximate solutions for a broad class of linear and nonlinear, differential and integral equations, homogeneous or inhomogeneous, with constant coefficients, or with variable coefficients. In [3] and [4], they have developed a generalized approximation method (GAM) to obtain a solution of a thin film flow of a third grade fluid on a moving belt. A couple of two numerical techniques such as a centered in space finite difference technique and the Quasi-Newton iterative method is used to approximate the solutions of a nonlinear mathematical model of lubricant film flow velocity on a belt type oil skimmer. Where vl is the non-dimensional moving belts speed and vr is the rate of change of the fluid velocity on the ended layer
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