Sensitivity Analysis: Flow Velocity Equations Perform a sensitivity analysis comparing two flow velocity equations for sewer pipe flow. The first equation is given by: ks V₁ = -2√8gRS log10 (148R + 2.51μ 4pR√8gRS The second equation represents Manning's Equation: V₂ = 1AR²/3¹/2 Given parameters: Pipe diameter (D): 1.2 m Flow height (y): 0.75 m - Pipe slope (S): 0.01 Pipe roughness (ks): 1.5E-06 Acceleration due to gravity (g): 9.81 m/s² Explore the sensitivity of these equations to variations in water density (p, ranging from 1000 to 1400 kg/m³) and viscosity (u, ranging from 0.78 to 2.71 Pa.s).
Sensitivity Analysis: Flow Velocity Equations Perform a sensitivity analysis comparing two flow velocity equations for sewer pipe flow. The first equation is given by: ks V₁ = -2√8gRS log10 (148R + 2.51μ 4pR√8gRS The second equation represents Manning's Equation: V₂ = 1AR²/3¹/2 Given parameters: Pipe diameter (D): 1.2 m Flow height (y): 0.75 m - Pipe slope (S): 0.01 Pipe roughness (ks): 1.5E-06 Acceleration due to gravity (g): 9.81 m/s² Explore the sensitivity of these equations to variations in water density (p, ranging from 1000 to 1400 kg/m³) and viscosity (u, ranging from 0.78 to 2.71 Pa.s).
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Transcribed Image Text:Sensitivity Analysis: Flow Velocity Equations
Perform a sensitivity analysis comparing two flow velocity
equations for sewer pipe flow. The first equation is given by:
ks
V₁ = -2√/8gRS log10 (12
2.51μ
4pR√8gRS
●
The second equation represents Manning's Equation:
V₂ = ¹/1AR²/35¹/2
n
+
14.8R
Given parameters:
• Pipe diameter (D): 1.2 m
• Flow height (y): 0.75 m
Pipe slope (S): 0.01
Pipe roughness (ks): 1.5E-06
Acceleration due to gravity (g): 9.81 m/s²
Explore the sensitivity of these equations to variations in water
density (p, ranging from 1000 to 1400 kg/m³) and viscosity (u,
ranging from 0.78 to 2.71 Pa-s).
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