Abstract
The effects of various conditions on the fluid flow, particle migration and heat transfer in non-linear fluids encountered in drilling and geothermal applications are studied. We assume that the drilling fluid is a suspension composed of various substances, behaving as a non-linear complex fluid, where the effects of particle volume fraction, shear rate, and temperature on the viscosity and thermal diffusivity are considered. The motion of the particles is described using a concentration flux equation. Two problems are studied: flow in a vertical pipe and flow between two (eccentric) cylinders where the inner cylinder is rotating. We consider effects of earth temperature, the rotational speed of the inner cylinder, and the bulk volume fraction on the flow and heat transfer.
Highlights
Drilling is an essential aspect of many geothermal energy applications
We model the drilling fluid as a suspension with nonlinear rheological properties, where the viscosity and the thermal conductivity depend on the volume fraction, shear rate, temperature etc., and the motion of the solid particles depends on the particles collision, non-uniform distribution of the viscosity [29] and turbulent diffusivity
We study the effects of various conditions encountered in geothermal well drilling operations, such as the earth temperature, the rotational speed of the inner cylinder, and the bulk volume fraction of solid particles on the flow and heat transfer
Summary
Drilling is an essential aspect of many geothermal energy applications (see Younger [1]) It allows the capture of high-density thermal energy stored in the deep Earth [2]. The rheological properties of the drilling fluid can depend on pressure, volume fraction of the particles, shear rate, temperature, etc. We model the drilling fluid as a suspension with nonlinear rheological properties, where the viscosity and the thermal conductivity depend on the volume fraction, shear rate, temperature etc., and the motion of the solid particles depends on the particles collision, non-uniform distribution of the viscosity [29] and turbulent diffusivity. We study the effects of various conditions encountered in geothermal well drilling operations, such as the earth temperature, the rotational speed of the inner cylinder, and the bulk volume fraction of solid particles on the flow and heat transfer
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