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One Dimensional Flow of Real Fluid

One Dimensional Flow of Real Fluid. P M V Subbarao Associate Professor Mechanical Engineering Department I I T Delhi. Real study is essential before using ……. Conservation Laws for a Real Fluid. Conservation of Mass Applied to 1 D Steady Flow. Conservation of Mass:.

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One Dimensional Flow of Real Fluid

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  1. One Dimensional Flow of Real Fluid P M V Subbarao Associate Professor Mechanical Engineering Department I I T Delhi Real study is essential before using ……..

  2. Conservation Laws for a Real Fluid

  3. Conservation of Mass Applied to 1 D Steady Flow Conservation of Mass: Conservation of Mass for Stead Flow: Integrate from inlet to exit :

  4. One Dimensional Stead Flow A+dA, V+dV r+dr A, V r dl

  5. Conservation of Momentum For A Real Fluid Flow No body forces One Dimensional Steady flow A+dA, V+dV r+dr A, V r dl

  6. Conservation of Energy Applied to 1 D Steady Flow Steady flow with negligible Body Forces and no heat transfer is adiabatic real flow For a real fluid the rate of work transfer is due to viscous stress and pressure. Neglecting the the effect of viscous dissipation.

  7. For a total change from inlet to exit : Using gauss divergence theorem: One dimensional flow

  8. Summary of Real Fluid Analysis

  9. Further Analysis of Momentum equation

  10. Frictional Flow in A Constant Area Duct

  11. Frictional Flow in A Constant Area Duct The shear stress is defined as and average viscous stress which is always opposite to the direction of flow for the entire length dx. tw

  12. Divide by rAV2

  13. One dimensional Frictional Flow of A Perfect Gas

  14. Sonic Equation Differential form of above equation:

  15. Energy equation can be modified as:

  16. 1D steady real flow through constant area duct : momentum equation

  17. Differential Equations for Frictional Flow Through Constant Area Duct

  18. Second Law Analysis

  19. Fanno Line Adiabatic flow in a constant area with friction is termed as Fanno flow.

  20. Isentropic Nozzle and Adiabatic Duct

  21. C Nozzle Discharge Curve

  22. CD Nozzle + Discharge Curve

  23. Nature of Real Flow Entropy of an irreversible adiabatic system should always increase!

  24. Flow in Conduits P M V Subbarao Associate Professor Mechanical Engineering Department IIT Delhi An important infrastructure for Industrialization…..

  25. Compressible Real Flow Effect of Mach number is negligible….

  26. Pressure drop in Compressible Flow Laminar Flow Turbulent Flows

  27. Moody Chart

  28. Compressible Flow Through Finite Length Duct Integrate over a length l

  29. is a Mean friction factor over a length l .

  30. Maximum Allowable Length • The length of the duct required to give a Mach number of 1 with an initial Mach number Mi Similarly

  31. Compressible Frictional Flow through Constant Area Duct M

  32. Frictional Flow in A Variable Area Duct A+dA, V+dV r+dr A, V r

  33. Constant Mach number frictional flow

  34. Sonic Point : M=1

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