By C A J Fletcher

This recognized 2-volume textbook presents senior undergraduate and postgraduate engineers, scientists and utilized mathematicians with the categorical recommendations, and the framework to improve abilities in utilizing the suggestions within the quite a few branches of computational fluid dynamics. quantity 1 systematically develops primary computational suggestions, partial differential equations together with convergence, balance and consistency and equation resolution equipment. A unified therapy of finite distinction, finite aspect, finite quantity and spectral tools, as substitute technique of discretion, is emphasised. For the second one variation the writer additionally compiled a individually on hand handbook of recommendations to the various routines to be present in the most textual content

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Extra resources for Computational Techniques for Fluid Dynamics [Vol 2]

Sample text

However, close to the wall one freedom of movement is removed, only diffusion away from or along the wall is possible. An additional effect is caused by the shear stress field. The shear stress in the fluid reaches a maximum at the wall, leading to stretching effects of the polymers. The resulting viscosity near the wall will approach the base fluid’s viscosity under certain conditions. Figure 3-12 illustrates the phenomenon, while Table 3-4 summarises the features and friction effects of these special polymer solution.

1) represent for left to right; pressure head, velocity head, gravity or potential energy head and pump head. To the far right the friction loss head, referred to as head-loss. Head loss is demonstrated in Figure 4-1. : Total head = ho = z  p /   v 2 / 2 g = energy grade line(EGL) Hydraulic head = z  p /  = hydraulic grade line(HGL) = the height in a piczometric tube Figure 4-1 demonstrates all expressions. Total head in EGL (friction less) Head loss EGL (friction) U-tube manometers Velocity head HGL Fluid flow in direction of falline EGL Flow line Figure 4-1: Important expressions involved in the evaluation of pipe flow.

Previously it has been shown that the pump pressure is a mirror image of the pressure losses in the circulating system. For hydraulic optimization purposes, we now split the friction losses in two parts; bit pressure losses, pbit, and remaining pressure losses in the circulation system, ploss, also called parasitic pressure losses. 2) p pump  pbit  ploss Figure 5-2 displays both mentioned pressure losses, when they are embedded on to the pump characteristics. When the flow rate increases, for a given well length, the pump pressure will be more and more consumed as friction, ploss, and less and less is left for the bit.

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