This study explains how to calculate the pressure loss in the pipeline using cloud functions for thermodynamic and transport properties of the fluid. A description is given of finite element methods for the solving of important engineering problems.
Fig. 16.1. Throttling of steam in the web site hs-diagram - http://twt.mpei.ac.ru/MCS/Worksheets/PTU/h-s-ExpEng.xmcd
Fig. 16.2. Web page with the on-line calculation of dynamic viscosity of water - http://twt.mpei.ru/MCS/Worksheets/rbtpp/eng/tab9.xmcd
Fig. 16.3. List of “cloud” functions of properties of water and steam - Formulation of region 1 (the basic equation for water)
Fig. 16.4. URL of the “cloud” function “Water and steam dynamic viscosity”
Fig. 16.5. Inserting reference in the “cloud” function of water density
Fig. 16.6. Calculation of loss of water pressure in the tubing
Fig. 16.6a. Calculation of loss of Ethylene Glycol Water Solution pressure in the tubing (with correct unit of dynamic viscosity)
Fig. 16.7. Characteristic curve of relative coefficient of friction and parameters of water flow in the round tube - http://twt.mpei.ac.ru/MCS/Worksheets/Hydro/La-De-Re.xmcd
Fig. 16.8. Set of formulae for calculation of the relative coefficient of friction versus parameters of water flow in the round tube
Fig. 16.9. Calculation of the initial section of the tubing (Var = 1: horizontal tubing)
Fig. 16.10. Element-by-element calculation of the tubing
Fig. 16.11. Water temperature and pressure curves in the horizontal tubing - http://twt.mpei.ac.ru/MCS/Worksheets/Hydro/TubeMChS.xmcd
Fig. 16.12. Water temperature and pressure curves in the vertical tubing (pump at the top) - http://twt.mpei.ac.ru/MCS/Worksheets/Hydro/TubeMChS.xmcd
Fig. 16.13. Water temperature and pressure curves in the vertical tubing (pump at the bottom) - http://twt.mpei.ac.ru/MCS/Worksheets/Hydro/TubeMChS.xmcd
Fig. 16.14. Temperature profile in the cylindrical wall - http://twt.mpei.ac.ru/MCS/Worksheets/Thermal/Heat-Flow-1radius.xmcd
Fig. 16.15. Solving the problem of the temperature profile in the cylindrical wall (beginning)
Fig. 16.16. Difference equation of heat conduction in the cylindrical wall and its solving by means of Mathcad symbolic mathematics
Fig. 16.17. Solving the problem of the temperature profile by the shooting method
Fig. 16.18. Result of solving the problem of the temperature profile by the shooting method
Fig. 16.19. Calculation of the temperature profile in the flat wall
