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- Loss of Internal flow This document shows the fundamental calculations related to the internal flow. The loss of
head or pressure is caused by the friction loss and elevation. And, regarding the friction loss,
the Darcy friction factor is determined based on the flow condition, Laminar or Turbulent.
If the fluid of flow is liquid, the elevation cannot be ignored.
As the examples of calculation, this document will demonstrate the flow calculation in some
cases after introducing equations for friction factor.1. Basic 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LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=1-1. Friction lossVelocityVolume flow rateMass flow 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Friction 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If the fuild is oil,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' equation(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)Nikuradse 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 equationLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYkLUYvNiVRJHR1ckYnRjJGNUY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy1JI21vR0YkNi1RIj1GJ0Y1LyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVy1JI21uR0YkNiRRJzAuMDA1NEYnRjUtRkQ2LVEiK0YnRjVGR0ZJRktGTUZPRlFGUy9GVlEsMC4yMjIyMjIyZW1GJy9GWUZcby1GZW42JFEmMC4zOTZGJ0Y1LUZENi1RJyZzZG90O0YnRjVGR0ZJRktGTUZPRlFGUy9GVlEmMC4wZW1GJy9GWUZlby1JJW1zdXBHRiQ2JS1GLzYlUSRSZXlGJ0YyRjUtRiM2JS1GRDYtUSomdW1pbnVzMDtGJ0Y1RkdGSUZLRk1GT0ZRRlNGW29GXW8tRmVuNiRRJDAuM0YnRjVGNS8lMXN1cGVyc2NyaXB0c2hpZnRHRj8vJSdmYW1pbHlHUSZBcmlhbEYnLyUrZXhlY3V0YWJsZUdGNEY1(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)(LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkUmV5RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JJW1zdXBHRiQ2JS1JI21uR0YkNiRRIzEwRidGMi1GIzYkLUZQNiRRIjVGJ0YyRjIvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==)White 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(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)Colebrook-White equationSwamee-Jain 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TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQUxGV2o6UHNPdGpHakxgTlxcQE5kXFxvXXB4XFxBdj48Sko8S1o9VW91eVdodEFYVFZES05wb2RhcTo+YEpxeUFCUnNmaHdZbz1yOmtoYTtFZj46TVRLV0RLV2dKO2VaOjo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=3. Case studiesTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=3-1. Air (Low pressure, e.g. for Ventilation application)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 this section, basic equations are introduceds.The friction loss of internal flow is defined with the following general equation.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSJmRidGMkY1RjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUkjbW9HRiQ2LVEiPUYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZXLUYvNiVRJyYjOTU1O0YnRjJGNS1GRDYtUScmc2RvdDtGJ0Y1RkdGSUZLRk1GT0ZRRlMvRlZRJjAuMGVtRicvRllGW28tSSZtZnJhY0dGJDYoLUYvNiVRIkxGJ0YyRjUtRiM2JC1GLDYmLUYvNiVRIkRGJ0YyRjUtRiM2JEYuRjVGPUZARjUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmFwLyUpYmV2ZWxsZWRHRjRGZ24tRl5vNigtSSVtc3VwR0YkNiUtRi82JVEidkYnRjJGNS1GIzYkLUkjbW5HRiQ2JFEiMkYnRjVGNS8lMXN1cGVyc2NyaXB0c2hpZnRHRj8tRiM2JkZgcUZnbi1GLzYlUSJnRidGMkY1RjVGXHBGX3BGYnBGZHAvJSdmYW1pbHlHUSZBcmlhbEYnLyUrZXhlY3V0YWJsZUdGNEY1And, the above equation can be transformed by using the relationships below.Head / PressureVelocity / Volume flow rateVloume / Mass flow 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: Head of friction loss
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJStleGVjdXRhYmxlR0YxRjI=: Friction factor (Dimensionless)
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: Length of flow
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1GLzYlUSJoRidGMkY1RjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZXLUYjNiYtRi82KVEibUYnLyUnZmFtaWx5R1EmQXJpYWxGJy8lJWJvbGRHUSV0cnVlRidGMi8lK2ZvcmVncm91bmRHUS5bMTI4LDEyOCwxMjhdRicvRjZRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmNvRmluRjUvRkFRJVVuaXRGJy1GLzYjUSFGJ0Zpbi8lK2V4ZWN1dGFibGVHRjRGNQ==: Hydraulic diameter
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: Gravity
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 : Velocity of flow(*) With SI 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: Density
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: Volume flow rate
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: Mass flow rate
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRiM2Ji1JJW1zdXBHRiQ2JS1GLDYpUSJtRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlYm9sZEdRJXRydWVGJ0YvLyUrZm9yZWdyb3VuZEdRLlsxMjgsMTI4LDEyOF1GJy9GM1ElYm9sZEYnLyUrZm9udHdlaWdodEdGaG4tRiM2Ji1JI21uR0YkNihRIjJGJ0ZURldGWkZnbkZpbkZURlpGMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGVEYyL0krbXNlbWFudGljc0dGJFElVW5pdEYnLUYsNiNRIUYnRlQvJStleGVjdXRhYmxlR0YxRjI=: Flow areaTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbPD5bQFpabmpUdlBGWm1PZEFPQldnbXNSdEI7SVVKVVRKRnBJWFt2SWY/WkM+aEJHZW1LQUxGV2o6UHNPdGpHakxgTlxcQE5kXFxvXXB4XFxBdj48Sko8S1o9VW91eVdodEFYVFZES05wb2RhcTo+YEpxeUFCUnNmaHdZbz1yOmtoYTtFZj46TVRLV0RLV2dKO2VaOjo6NjpcIlx7XH0=LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjM6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjQ6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=Table 1 : Friction loss equationsFor the Darcy-Weisbach equation, the Darcy friction factor is needed to calculate. And, it is
difference based on the flow condition, Laminar or Turbulent, and which is defined with
Reynolds number LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEkUmV5RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJ2ZhbWlseUdRJkFyaWFsRicvJStleGVjdXRhYmxlR0YxRjI=.Turbulent / Smooth pipeTurbulent / Rough pipe (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEoJiMxMDEzO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUlc2l6ZUdRIzEyRidGMg== is the roughness in 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)TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=1-3. Reynolds numberReynolds number, which is needed to define Laminar or Turbulent, can be obtained with the
following equation.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By using the relationship of Velocity / Mass flow rate, it can be transformed. 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: Dynamic viscosityIf there is the height difference between Inlet and Outlet, sometimes the head of elevation
needs to be considered. The equation is the following.By using the relationship of head/pressure, it can be transformed. 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: Height differenceTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjI6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=Appendix 1. Comparison of Friction factor of smooth 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data of plots with 4 types of friction factor for smooth pipe on Turtubent flowComparion of friction factorsTUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjM6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=Appendix 2. Comparison of Friction factor of rough pipeGenerate data of plots with 4 types of friction factor for smooth pipe on Turbulent 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of pipeHydraulics 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for numerical calculationComparion of friction 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TUZOV3RLVWI8b2I8Uj1NRExDZE5OWnVbOz5bQFpgUFxcYkc9RlptT2RBT0JXZ21zUnRCO0lVSlVUSkZwSVhbdklmP1pDPmhCR2VtS0FERldqOlBLTmROOj9aOm5dQ19iO19kQldjZ1lyO0g7W0M9O0hiY3l5QXdvd1hGY0JhT1lRbnFNV1ttQWk7Rlp0SWlvWUU+WkNnYkhfYmhQYlpPSjo6Ojo6OjQ6XCJce1x9LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI=Appendix 3. Moody diagramLaminarTurbulent (Colebrock-White equation)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Length of 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In this section, the mass flow rate is calculated with the equations explained above under several
cases. And, in terms of checking the effect of elevation, the result of both with and without
elevation care compared.Equations to solvePressure loss (Darcy-Weisbach equation)Data set of the relative roghness (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1JI21pR0YkNiVRKCYjMTAxMztGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiQtSSVtc3ViR0YkNiYtRi82JVEiREYnRjJGNS1GIzYkLUYvNiVRImhGJ0YyRjVGNS8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnL0krbXNlbWFudGljc0dGJFEnYXRvbWljRidGNS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGUC8lKWJldmVsbGVkR0Y0LyUnZmFtaWx5R1EmQXJpYWxGJy8lK2V4ZWN1dGFibGVHRjRGNQ==)Plot the moody diagramDarcy friction factor (Colebrock-White equation is used for Turbulent)Reynolds numberCommon 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Height difference between
Inlut and 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Figure 1 : Moody diagramIn this appendix, the Moody diagram is plotted.Inlet pressureOutlet pressureDesign pressure dropDesign 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Density of fluid at InletDynamic viscosity of fluid at InletIn this case, Air is defined as the fluid of flow. And, because of the low density, the effect of
elevetion is not big.Objective equation (without elevation) by combining equations Assgin the value of parametersObtain the mass flow rateObjective equation (with elevatin) by adding the elevation equationAssign the value of parametersObtain the mass flow rateChange of mass flow rate by elevationThus, there are only 0.15 % effect on the mass flow rate.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Inlet pressureOutlet pressureDesign pressure dropDesign temperatureFluidDensity of fluid at InletIn this case, Air is defined as the fluid of flow. And, because of the low density, the effect of
elevetion is not big.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Dynamic viscosity of fluid at 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Objective equation (without elevation) by combining equations Assgin the value of parametersObtain the mass flow rateObjective equation (with elevatin) by adding the elevation equationAssign the value of parametersObtain the mass flow rateChange of mass flow rate by elevationThus, there are 4.8 % effect on the mass flow rate.