Advanced Physical Research

Laminar fluid flow is frequently observed in oilfield operations. In this flow regime, it is crucial to determine the velocity-flow rate performance while considering the fluid's rheological properties for establishing hydraulic criteria. Numerous experiments have validated the laws of resistance and velocity distribution in laminar flow. Nevertheless, some forms of laminar flow require adjustments and additional parameters, particularly at the initial stages, in obliterated laminar flow, or under high-pressure differences. It is important to note that, despite the extensive research on laminar flow regimes, these specific cases or forms of laminar flow have been studied very rarely. This paper investigates the hydrodynamics of specific cases of laminar flow based on the existing active boundary layer model. Calculations were conducted to determine the length of the stable-flow zone (the initial section) of laminar flow. The paper discusses the calculated results. It was determined through calculations that in obliterated laminar flow under high pressure differences, while the fluid flow rate is directly proportional to the pressure difference, the energy loss varies with the square of the pressure difference. Additionally, the effects of pressure and temperature on viscosity and thus flow rates were hydraulically analyzed. The influence of temperature and pressure on flow rate shows an opposite polar effect. In such flow, a small temperature increase does not fully compensate for the changes.