tailieunhanh - Intro to Practical Fluid Flow Episode 7

Tham khảo tài liệu 'intro to practical fluid flow episode 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Transportation of slurries 111 1. V and Ci are known this situation arises when the nature of the slurry is known and the quantity that must be transported is fixed. From equation vw V Ẹ uTtqt and from equation Ci V vw qi vqt Ui qj UYi qi Equation is true for each particle type and equations and give as many equations as there are unknowns. These are solved most conveniently by iteration and the following procedure has been found to be effective and rapidly convergent. Add each of the equations Ẹqỹ Ẹq M Vq q - 1 uTiqi From which V 4 - 1 The volumetric fraction for species i is obtained from equation as V Ti Qi ỉi Ci V - 4-75 V Ci 1 I 7 1 -l V A convenient iterative solution starts with an estimate of q from which the qis are calculated using equation . The assumed value of q is checked using q qi which also provides a new refined starting value for the next iteration. At convergence the velocity of the water can be recovered from equations and vw v 1 ị Vị - q _ 1 1 q and the frictional dissipation of energy can be calculated from vw and the friction factor for the carrier fluid. 112 Introduction to Practical Fluid Flow 2. uw and c are known. When uw and c are known a similar iterative solution is possible. From equation Ci V w m - uTi qi and substituting for V from equation Ci I ũw U-ỊỊ qj I w qị qị By a process similar to that used to develop equation it is easy to show that c - q Ci c - 1 _ i-hi. vw This equation can be used in place of equation to generate the iterative process. At convergence the average slurry velocity can be calculated from equation and then the required pipe diameter. Use the FLUIDS toolbox to implement these solution methods. Practice problems 1. Calculate the flowrate of slurry through 200 m of smooth horizontal pipe having internal diameter 13 cm under a pressure drop of bar. The friction factor for water can be .

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