Internal flow First,considering a fully developed flow in pipe,we judge whether the flow is laminar or turbulent.if the Reynolds number is less then 2300,there is laminar flow.over 4000,there is turbulent flow.between them ,the flow state depend on the practical condition.(Re equal that average flow velocity multiply characteristic length of the geometry and divide by kinematic viscosity of the fluid.) Relying on no-slip condition and newton friction law,we can obtain that the laminar velocity profile is parabolic.so we can use boundary condition to get the maximum velocity double the average velocity.then we can derive the pressure loss and head loss.the drop loss is determined by the terms of the Reynolds number、fluid dynamic pressure ,pipe length and diameter. Turbulent flow contains some eddies.it have not orderly velocity profile.but we can obtain a time-average velocity profile in the axial direction from experimental date.we generally use the one-seven power-law velocity profile to approximates many practice flow. Different from laminar flow,the drop loss also depend on the relative roughness of the pipe. In practice,we usually use empirical formula or Moody chart to determine the friction factor and then to calculate the drop loss ,head loss or to solve other types of fluid flow problem. When Fluid flow past fittings like valve、inlet,outlet,this fittings will cause additional loss,are called minor loss.in practice,we use this fittings can get its loss coefficient from relevant standards or product specifictions. If fittings are too close,it may be loss accuracy. In this case,we must rely on experience or experiment to have a acceptability result .
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