(1.2) where p > 1 is a constant; φp : R → R,φp(u) = |u|u; f : [0, 1]×R → R is a continuous function and 1 ≤ i ≤ n−1 is a fixed integer, e(t) ∈ L[0, 1], αj(1 ≤ j ≤ m− 2) ∈ R, η, ξ, ξj ∈ (0, 1), j = 1, · · · ,m− 2, 0 < ξ1 < · · · < ξm−2 < 1. We notice that the operator φp(u) = |u|u is called the (one-dimensional) p-Laplacian and it appears in many contexts. For example, it is used extensively in ...

Vegetable oils are promising candidates as base fluid for eco-friendly lubricants because of their excellent lubricity, biodegradability, viscosity–temperature characteristics and low volatility. Their use, however, is restricted due to low thermo-oxidative stability and poor cold flow behavior. This paper presents a systematic approach to improve the oxidation behavior and low temperature flui...

The aggregation and structure of polar molecules in nonpolar media may have a profound effect on bulk phase properties and transport. In this study, we investigate the aggregation and deposition of water and asphaltenes, the most polar fraction in petroleum fluids. In flow-line experiments, we vary the concentration of water from 500 up to 175,000 ppm and provide the evidence for clear changes ...

Metalworking fluids (MWFs) are widely used in machining process to improve its performance and product quality. It acts as a coolant and lubricant to reduce heat between the contact of two surfaces. However, commercial MWFs used in the industry were usually from petroleum-based oil which is toxic to the environment, difficult to dispose and caused significant health. Therefore, it is essential ...

The concentrations and distributions of organochlorine pesticides (OCPs) in some higher plant samples collected from oil exploration areas of the Niger Delta, Nigeria were examined. The concentrations of Σ(25)OCP ranged from 82 to 424, 44 to 200 , 34 to 358, 33 to 106 and 16 to 75 ng/g in Olomoro, Oginni, Uzere, Irri and Calabar plants, respectively. The compositional profiles of the analysed O...

An oil spill is the accidental or intentional discharge of petroleum products into the environment due to human activities. Although oil spills are actually just a little percent of the total world oil pollution problem, they represent the most visible form of it. The impact on the ecosystems can be severe as well as the impact on economic activities. Oil spill cleanup is a very difficult and e...

Progressive cavity pumps are used in industry for the circulation of high viscosity fluids, such as crude oil and petroleum products, sewage sludge, oils, salt water, wastewater. Also known single screw pumps, these composed a rotor which has shape rounded screw, moves inside rubber stator. The stator an double helical internal surface which, together with rotor, creates that along rotor. movem...

We have recently introduced several important improvements in the measurement of distillation curves for complex fluids. The modifications provide for (1) a composition explicit data channel for each distillate fraction (for both qualitative and quantitative analysis), (2) temperature measurements that are true thermodynamic state points that can be modeled with an equation of state, (3) temper...

Within the subseafloor, methane hydrates form within the gas hydrate stability zone (GHSZ). Two areas within the Gulf of Mexico (GOM) were investigated in this study: Keathley Canyon and Atwater Valley. The GOM contains an underlying petroleum system and deeply buried, yet dynamic salt deposits. Salt tectonics and fluid expulsion upward through the sediment column lead to the formation of fract...