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As a starting point, consider what happens at the molecular level when a pump moves water through a pipe. The pump exerts work on the water to generate flow, and some of this energy will be wasted by the generation of friction. This friction may come in the form of water molecules colliding with one another, or it may be friction of water with the walls of pipe. The consequence of these frictional forces is a drop in pressure in the same direction as the fluid flow. The terms head loss and pressure drop are used interchangeably to describe this loss in pressure across a length of pipe. The Darcy equation defines this mathematically as:
hL = f(L/D)v2/2g
where hL is the velocity head, f is the friction factor (which may be found in tables or determined experimentally), L/D is the ratio of pipe length to internal diameter, v is velocity of flow and g is the acceleration of gravity. This equation is fairly intuitive; for fluid velocity to increase, so to must the head loss. To maintain high water velocity in restrictive pipes, pressure (aka hydraulic head) must be increased.
For fittings and valves, one is no longer simply considering the length of a straight pipe. Instead, bends and restrictions also affect the head loss. The above equation now requires a modification:
hL =K v2/2g
where K is the resistance coefficient, which is defined as the number of velocity heads lost due to the valve or fitting. If desired, one can relate this resistance coefficient to equivalent pipe length by using the Darcy equation:
K = f(L/D)
where f is the friction factor and L and D are the length and diameter of the pipe, in feet.
Since head losses are additive, it is theoretically possible to estimate the total head loss of a cooling loop provided that estimates for friction factors are available for all tubing and fittings and that data exists for the water block and radiator of choice. For our purposes, however, examining the tabulated K coefficient values in Crane 410 should be sufficient.
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The pressure drop for turbulent single-phase fluid flow around sharp 90° pipe bends has proven to be difficult to predict owing to the complexity of the flow arising from frictional and separation effects. Existing models accurately predict the frictional effects, but no precise models are available to predict the flow due to separation. It is the purpose of this work to propose a model capable of such prediction. The proposed model is presented and added to an existing model to predict pressure losses over the turbulent Reynolds number range up to 3 × 105. The predicted data is within a spread of + 3 to − 2 per cent of existing experimental data. Future work will validate this model experimentally and computationally
Another book to read on the subject (and there are HUNDREDS) -