Final answer:
The question involves physics principles to calculate oil pressure in a hydraulic press and gauge pressure in an oil gusher, focusing on fluid dynamics involving density, viscosity, and compressibility of oil.
Step-by-step explanation:
The student's question pertains to concepts in fluid dynamics, specifically dealing with the calculation of pressure in various scenarios involving oil. These include gauging oil pressure in a hydraulic press and the pressure needed to propel crude oil through a pipe in an oil gusher. Calculations like these involve understanding the physics of fluids, which includes parameters such as density, viscosity, and compressibility, as well as applying Bernoulli's equation and the principle of continuity.
Calculating Oil Pressure in a Hydraulic Press
To calculate the bulk strain and absolute decrease in the volume of oil in a hydraulic press, one would need to apply the formula for bulk modulus, which involves the initial pressure, the increase in pressure, the volume of the oil, and the compressibility of the oil. The bulk strain is the relative volume change and the absolute decrease is the strain multiplied by the original volume.
Calculating Gauge Pressure for an Oil Gusher
To calculate the gauge pressure at the entrance of the vertical pipe for an oil gusher, one must consider the height of the oil column, the density of the oil, and its viscosity. The gauge pressure can be calculated using the hydrostatic pressure equation, taking into account the gravitational force acting on the column of oil. Additionally, the viscosity is taken into account to calculate any pressure drop due to the laminar flow in the pipe.
The Onset of Turbulence
In order to verify if the flow of oil is laminar, the Reynolds number must be calculated. This requires the diameter of the pipe, flow velocity, density, and viscosity of the oil. If the Reynolds number is less than 2000, the flow is considered laminar.