Note: If you wish to replicate the R code below, then you will need to copy and paste the following commands in R first (to make sure you have all the packages and their dependencies):

install.packages(c("install.load", "sessioninfo", "iemisc", "units", "IAPWS95", 
    "fpCompare", "assertthat", "flextable"))
# install the packages and their dependencies, including the extra system
# dependencies (this process may take a while depending on the number of
# dependencies)



# load the required packages and provide the session information
install.load::load_package("iemisc", "units", "IAPWS95", "fpCompare", "assertthat", 
    "flextable")
# load needed packages using the load_package function from the install.load
# package (it is assumed that you have already installed these packages)


import::from(pracma, newtonRaphson)
# import newtonRaphson from the pracma package


sessinfo <- setDT(sessioninfo::session_info()$packages)
sessinfo <- sessinfo[, -c("ondiskversion", "loadedpath", "path", "attached", 
    "is_base", "md5ok", "library")]
setkey(sessinfo, package)
sessinfo
##          package loadedversion       date         source
##  1:       CHNOSZ         1.3.2 2019-04-21 CRAN (R 3.6.0)
##  2:      IAPWS95         1.1.0 2018-06-18 CRAN (R 3.6.0)
##  3:           R6         2.4.0 2019-02-14 CRAN (R 3.6.0)
##  4:         Rcpp         1.0.1 2019-03-17 CRAN (R 3.6.0)
##  5:   assertthat         0.2.1 2019-03-21 CRAN (R 3.6.0)
##  6:    base64enc         0.1-3 2015-07-28 CRAN (R 3.6.0)
##  7:          cli         1.1.0 2019-03-19 CRAN (R 3.6.0)
##  8:       crayon         1.3.4 2017-09-16 CRAN (R 3.6.0)
##  9:   data.table        1.11.8 2018-09-30 CRAN (R 3.6.0)
## 10:       digest        0.6.18 2018-10-10 CRAN (R 3.6.0)
## 11:     evaluate          0.13 2019-02-12 CRAN (R 3.6.0)
## 12:    flextable         0.5.4 2019-05-14 CRAN (R 3.6.0)
## 13:      formatR           1.6 2019-03-05 CRAN (R 3.6.0)
## 14:    fpCompare         0.2.2 2018-06-12 CRAN (R 3.6.0)
## 15:      gdtools         0.1.8 2019-04-02 CRAN (R 3.6.0)
## 16:         glue         1.3.1 2019-03-12 CRAN (R 3.6.0)
## 17:       gsubfn           0.7 2018-03-16 CRAN (R 3.6.0)
## 18:    htmltools         0.3.6 2017-04-28 CRAN (R 3.6.0)
## 19:       iemisc         0.9.7 2018-05-16 CRAN (R 3.6.0)
## 20:   iemiscdata         0.6.1 2016-07-22 CRAN (R 3.6.0)
## 21:       import         1.1.0 2015-06-22 CRAN (R 3.6.0)
## 22: install.load         1.2.1 2016-07-12 CRAN (R 3.6.0)
## 23:        knitr          1.22 2019-03-08 CRAN (R 3.6.0)
## 24:      lattice       0.20-38 2018-11-04 CRAN (R 3.6.0)
## 25:     listless         0.0-2 2016-08-12 CRAN (R 3.6.0)
## 26:     magrittr           1.5 2014-11-22 CRAN (R 3.6.0)
## 27:      officer         0.3.4 2019-04-30 CRAN (R 3.6.0)
## 28:       pillar         1.4.0 2019-05-11 CRAN (R 3.6.0)
## 29:    pkgconfig         2.0.2 2018-08-16 CRAN (R 3.6.0)
## 30:       pracma         2.2.5 2019-04-09 CRAN (R 3.6.0)
## 31:        proto         1.0.0 2016-10-29 CRAN (R 3.6.0)
## 32:        purrr         0.3.2 2019-03-15 CRAN (R 3.6.0)
## 33:        rgdal        1.2-20 2018-05-07 CRAN (R 3.6.0)
## 34:        rlang         0.3.4 2019-04-07 CRAN (R 3.6.0)
## 35:    rmarkdown          1.12 2019-03-14 CRAN (R 3.6.0)
## 36:  sessioninfo         1.1.1 2018-11-05 CRAN (R 3.6.0)
## 37:           sp         1.3-1 2018-06-05 CRAN (R 3.6.0)
## 38:      stringi         1.4.3 2019-03-12 CRAN (R 3.6.0)
## 39:      stringr         1.4.0 2019-02-10 CRAN (R 3.6.0)
## 40:       testit           0.9 2018-12-05 CRAN (R 3.6.0)
## 41:       tibble         2.1.1 2019-03-16 CRAN (R 3.6.0)
## 42:        tidyr         0.8.3 2019-03-01 CRAN (R 3.6.0)
## 43:        units         0.6-2 2018-12-05 CRAN (R 3.6.0)
## 44:         uuid         0.1-2 2015-07-28 CRAN (R 3.6.0)
## 45:        withr         2.1.2 2018-03-15 CRAN (R 3.6.0)
## 46:         xfun           0.6 2019-04-02 CRAN (R 3.6.0)
## 47:         xml2         1.2.0 2018-01-24 CRAN (R 3.6.0)
## 48:         yaml         2.2.0 2018-07-25 CRAN (R 3.6.0)
## 49:          zip         2.0.1 2019-03-11 CRAN (R 3.6.0)
## 50:          zoo         1.8-5 2019-03-21 CRAN (R 3.6.0)
##          package loadedversion       date         source



Problem Statement

Problem 174 [Lindeburg Practice]

“1.5 ft3/sec (40 L/s) of 70°F (20°C) water flows through 1200 ft (355 m) of 6 in (nominal) diameter new schedule-40 steel pipe. What is the friction loss?”

From Appendix 16.B Dimensions of Welded and Seamless Steel Pipe [Lindeburg Manual], the internal diameter for a 6 inch nominal diameter new schedule-40 steel pipe is 0.5054 ft with an internal area of 0.2006 ft2.

From Table 17.2 Values of Specific Roughness for Common Pipe Materials [Lindeburg Manual], the specific roughness, \(\epsilon\), for a steel pipe is 0.0002 (\(2e-04\)) ft.



Solution in US Customary units

## [1] 1.5
## [1] 70
## [1] 1200
## 9.80665 [m/s^2]
## 32.17398 [ft/s^2]
## 70 [degree_F]
## 70 [degree_F]
## 294.2611 [K]
## 997.926216 [kg/m^3]
## 62.2984985 [lbm/ft^3]
## 9.76973797e-07 [m^2/s]
## 1.05160584e-05 [ft^2/s]
## 0.000974947765 [Pa*s]
## 2.03622074e-05 [lbf*s/ft^2]
## 2e-04 [ft]
## 0.5054 [ft]
## 0.000395726157 [1]
## 0.200613593 [ft^2]
## 1.5 [ft^3/s]
## 7.47706063 [ft/s]
## [1] 359346.277
## 1200 [ft]
# Darcy friction factor (f) for steel pipe Moody equation
fr2_Eng <- f2(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Romeo, et. al. equation
fr3_Eng <- f3(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Žarko Ćojbašića and Dejan Brkić equation
fr4_Eng <- f4(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Colebrook-White equation
fr5_Eng <- f5(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Colebrook-White equation from Didier Clamond
colebrook_Eng <- colebrook(Re_Eng, K = drop_units(rel_roughness_Eng))

# Swamee-Jaine equation
fr6_Eng <- f6(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Zigrang-Sylvester equation
fr7_Eng <- f7(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Vatankhah equation
fr8_Eng <- f8(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)


# friction loss for steel pipe
hf_Eng1 <- (f2(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng2 <- (f3(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng3 <- (f4(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng4 <- (f5(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng5 <- (colebrook(Re_Eng, K = drop_units(rel_roughness_Eng)) * drop_units(L_Eng) * 
    drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng6 <- (f6(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng7 <- (f7(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng8 <- (f8(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * 
    drop_units(L_Eng) * drop_units(V_Eng)^2)/(2 * drop_units(Di_Eng) * drop_units(g_Eng))


# result table
result_table_Eng <- data.table(V1 = c("Moody equation", "Romeo, et. al. equation", 
    "Žarko Ćojbašića and Dejan Brkić equation", "Colebrook-White equation", 
    "Colebrook-White equation from Didier Clamond", "Swamee-Jaine equation", 
    "Zigrang-Sylvester equation", "Vatankhah equation"), V2 = c(fr2_Eng, fr3_Eng, 
    fr4_Eng, fr5_Eng, colebrook_Eng, fr6_Eng, fr7_Eng, fr8_Eng), V3 = c(hf_Eng1, 
    hf_Eng2, hf_Eng3, hf_Eng4, hf_Eng5, hf_Eng6, hf_Eng7, hf_Eng8))

setnames(result_table_Eng, c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", 
    "Friction loss for steel pipe over total length"))

prettyEng <- flextable(result_table_Eng)
colkeys <- c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", 
    "Friction loss for steel pipe over total length")
prettyEng <- colformat_num(x = prettyEng, col_keys = colkeys, big.mark = ",", 
    digits = 4, na_str = "N/A")
autofit(prettyEng)

Darcy friction factor equation

Darcy friction factor (f) for steel pipe

Friction loss for steel pipe over total length

Moody equation

0.0176

36.3451

Romeo, et. al. equation

0.0151

31.0821

Žarko Ćojbašića and Dejan Brkić equation

0.0151

31.0567

Colebrook-White equation

0.0174

35.7912

Colebrook-White equation from Didier Clamond

0.0174

35.7912

Swamee-Jaine equation

0.0175

36.0133

Zigrang-Sylvester equation

0.0151

31.0551

Vatankhah equation

0.0173

35.7780


Michael Lindeburg used the Moody Diagram to determine that f is 0.0174 and calculated the head loss to be 35.9 feet.





Solution in SI units

## 21.1111111 [°C]
## 294.261111 [K]
## [1] TRUE
## 2e-04 [ft]
## 6.096e-05 [m]
## 0.5054 [ft]
## 0.15404592 [m]
## 0.000395726157 [1]
## 0.0186376127 [m^2]
## 42.4752699 [L/s]
## 2279.00808 [L/m^2/s]
## 2.27900808 [m/s]
## 9.76973797e-07 [m^3*Pa*s/kg]
## 9.76973797e-07 [m^2/s]
## [1] TRUE
## [1] 359346.277
## 1200 [ft]
## 365.76 [m]
# Darcy friction factor (f) for steel pipe Moody equation
fr2_SI <- f2(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Romeo, et. al. equation
fr3_SI <- f3(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Žarko Ćojbašića and Dejan Brkić equation
fr4_SI <- f4(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Colebrook-White equation
fr5_SI <- f5(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Colebrook-White equation from Didier Clamond
colebrook_SI <- colebrook(Re_SI, K = drop_units(rel_roughness_SI))

# Swamee-Jaine equation
fr6_SI <- f6(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Zigrang-Sylvester equation
fr7_SI <- f7(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Vatankhah equation
fr8_SI <- f8(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)


# friction loss for steel pipe
hf_SI1 <- (f2(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI2 <- (f3(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI3 <- (f4(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI4 <- (f5(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI5 <- (colebrook(Re_SI, K = drop_units(rel_roughness_SI)) * drop_units(L_SI) * 
    drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI6 <- (f6(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI7 <- (f7(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI8 <- (f8(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * 
    drop_units(L_SI) * drop_units(V_SI)^2)/(2 * drop_units(Di_SI) * drop_units(g_SI))


# result table
result_table_SI <- data.table(V1 = c("Moody equation", "Romeo, et. al. equation", 
    "Žarko Ćojbašića and Dejan Brkić equation", "Colebrook-White equation", 
    "Colebrook-White equation from Didier Clamond", "Swamee-Jaine equation", 
    "Zigrang-Sylvester equation", "Vatankhah equation"), V2 = c(fr2_SI, fr3_SI, 
    fr4_SI, fr5_SI, colebrook_SI, fr6_SI, fr7_SI, fr8_SI), V3 = c(hf_SI1, hf_SI2, 
    hf_SI3, hf_SI4, hf_SI5, hf_SI6, hf_SI7, hf_SI8))

setnames(result_table_SI, c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", 
    "Friction loss for steel pipe over total length"))

prettySI <- flextable(result_table_SI)
colkeys <- c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", 
    "Friction loss for steel pipe over total length")
prettySI <- colformat_num(x = prettySI, col_keys = colkeys, big.mark = ",", 
    digits = 4, na_str = "N/A")
autofit(prettySI)

Darcy friction factor equation

Darcy friction factor (f) for steel pipe

Friction loss for steel pipe over total length

Moody equation

0.0176

11.0780

Romeo, et. al. equation

0.0141

8.8682

Žarko Ćojbašića and Dejan Brkić equation

0.0141

8.8596

Colebrook-White equation

0.0174

10.9091

Colebrook-White equation from Didier Clamond

0.0174

10.9091

Swamee-Jaine equation

0.0175

10.9768

Zigrang-Sylvester equation

0.0141

8.8524

Vatankhah equation

0.0173

10.9051


Michael Lindeburg used the Moody Diagram to determine that f is 0.0175 and calculated the head loss to be 9.45 meters.





Works Cited

Michael R. Lindeburg, PE, Civil Engineering Reference Manual for the PE Exam, Twelfth Edition, Belmont, California: Professional Publications, Inc., 2011, page 17-4, 17-7, and A-22.

Michael R. Lindeburg, PE, Practice Problems for the Civil Engineering PE Exam: A Companion to the “Civil Engineering Reference Manual”, Twelfth Edition, Belmont, California: Professional Publications, Inc., 2011, pages 17-1 and 17-8 - 17-9.

The NIST Reference on Constants, Units, and Uncertainty, Fundamental Constants Data Center of the NIST Physical Measurement Laboratory, “standard acceleration of gravity g_n”, https://physics.nist.gov/cgi-bin/cuu/Value?gn.

Wikimedia Foundation, Inc. Wikipedia, 15 May 2019, “Conversion of units”, https://en.wikipedia.org/wiki/Conversion_of_units.



---
title: "Calculating the Friction Loss for a New Steel Pipe"
author: "Irucka Embry, E.I.T. (EcoC2S)"
date: "`r Sys.Date()`"
output:
  html_document:
    self_contained: no
    mathjax: default
---

<br />

Note: If you wish to replicate the R code below, then you will need to copy and paste the following commands in R first (to make sure you have all the packages and their dependencies):

```{r eval = FALSE, tidy = TRUE}
install.packages(c("install.load", "sessioninfo", "iemisc", "units", "IAPWS95", "fpCompare", "assertthat", "flextable"))
# install the packages and their dependencies, including the extra system dependencies (this process may take a while depending on the number of dependencies)
```

<br />
<br />

```{r, warning = FALSE, message = FALSE, tidy = TRUE}
# load the required packages and provide the session information
install.load::load_package("iemisc", "units", "IAPWS95", "fpCompare", "assertthat", "flextable")
# load needed packages using the load_package function from the install.load package (it is assumed that you have already installed these packages)


import::from(pracma, newtonRaphson)
# import newtonRaphson from the pracma package


sessinfo <- setDT(sessioninfo::session_info()$packages)
sessinfo <- sessinfo[, -c("ondiskversion", "loadedpath", "path", "attached", "is_base", "md5ok", "library")]
setkey(sessinfo, package)
sessinfo
```

<br />
<br />

## Problem Statement

Problem 174 [Lindeburg Practice]

"1.5 ft^3^/sec (40 L/s) of 70°F (20°C) water flows through 1200 ft (355 m) of 6 in (nominal) diameter new schedule-40 steel pipe. What is the friction loss?"


From Appendix 16.B Dimensions of Welded and Seamless Steel Pipe [Lindeburg Manual], the internal diameter for a 6 inch nominal diameter new schedule-40 steel pipe is 0.5054 ft with an internal area of 0.2006 ft^2^.


From Table 17.2 Values of Specific Roughness for Common Pipe Materials [Lindeburg Manual], the specific roughness, $\epsilon$, for a steel pipe is 0.0002 ($2e-04$) ft.

<br />
<br />

## Solution in US Customary units

```{r, warning = FALSE, message = FALSE, tidy = TRUE}
# Please note that the Re2, f2, f3, f4, f5, f6, f7, f8, and the colebrook functions are found within the iemisc R package created by Irucka Embry


# create unit of lbm which is commonly seen in engineering rather than lb for the mass unit
install_conversion_offset("lb", "lbm", 1)

# Given information
# given water flow of 1.5 ft^3 / sec
Vdot <- 1.5
Vdot

# given temperature of 70 degrees Fahrenheit
T <- 70
T

# given length of 1200 ft
L <- 1200
L

# given gravitational acceleration
g_SI <- 9.80665 # [NIST]
g_SI <- set_units(g_SI, m/s^2)
g_SI

g_Eng <- 9.80665 * (3937 / 1200) # [Wikimedia]
g_Eng <- set_units(g_Eng, "ft/sec^2")
g_Eng



# Problem Solution

# create a numeric vector with the units of degrees Fahrenheit
T_F <- set_units(T, degree_F)
T_F


# create a numeric vector to convert from degrees Fahrenheit to Kelvin
T_K_fromF <- T_F
T_K_fromF


# create a numeric vector with the units of Kelvin
units(T_K_fromF) <- with(ud_units, K)
T_K_fromF


# saturated liquid density at 70 degrees Fahrenheit (SI units)
rho_SI <- DfT(drop_units(T_K_fromF))
rho_SI <- rho_SI * as_units("kg/m^3")
rho_SI


# saturated liquid density at 70 degrees Fahrenheit (US Customary units)
rho_Eng <- rho_SI
units(rho_Eng) <- with(ud_units, "lbm/ft^3")
rho_Eng


# kinematic viscosity at 70 degrees Fahrenheit and density of rho (SI units)
nu_SI <- KViscTD(drop_units(T_K_fromF), drop_units(rho_SI))
nu_SI <- nu_SI * as_units("m^2/s")
nu_SI


# kinematic viscosity at 70 degrees Fahrenheit and density of rho (US Customary units)
nu_Eng <- nu_SI
units(nu_Eng) <- with(ud_units, "ft^2/s")
nu_Eng


# absolute or dynamic viscosity at 70 degrees Fahrenheit and density of rho (SI units)
mu_SI <- ViscTD(drop_units(T_K_fromF), drop_units(rho_SI))
mu_SI <- mu_SI * as_units("Pa*s")
mu_SI


# absolute or dynamic viscosity at 70 degrees Fahrenheit and density of rho (US Customary units)
mu_Eng <- mu_SI
units(mu_Eng) <- with(ud_units, "lbf*sec/ft^2")
mu_Eng


# create a numeric vector with the units of feet for the given specific roughness
epsilon_Eng <- 2e-04 * as_units("ft")
epsilon_Eng


# create a numeric vector with the units of feet for the given internal pipe diameter
Di_Eng <- 0.5054 * as_units("ft")
Di_Eng


# relative roughness (dimensionless) of the steel pipe
rel_roughness_Eng <- epsilon_Eng / Di_Eng
rel_roughness_Eng


# internal area of the steel pipe
Ai_Eng <- Di_Eng ^ 2 * pi / 4
Ai_Eng


# create a numeric vector with the units of cubic feet per second for the volumetric flow rate
Vdot_Eng <- Vdot * as_units("ft^3/sec")
Vdot_Eng


# velocity of the flowing water
V_Eng <- Vdot_Eng / Ai_Eng
V_Eng


# Reynolds number
Re_Eng <- Re2(D = drop_units(Di_Eng), V = drop_units(V_Eng), nu = drop_units(nu_Eng))
Re_Eng


# create a numeric vector with the units of feet
L_Eng <- set_units(L, "ft")
L_Eng


# Darcy friction factor (f) for steel pipe
# Moody equation
fr2_Eng <- f2(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Romeo, et. al. equation
fr3_Eng <- f3(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Žarko Ćojbašića and Dejan Brkić equation
fr4_Eng <- f4(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Colebrook-White equation
fr5_Eng <- f5(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Colebrook-White equation from Didier Clamond
colebrook_Eng <- colebrook(Re_Eng, K = drop_units(rel_roughness_Eng))

# Swamee-Jaine equation
fr6_Eng <- f6(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Zigrang-Sylvester equation
fr7_Eng <- f7(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)

# Vatankhah equation
fr8_Eng <- f8(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng)


# friction loss for steel pipe
hf_Eng1 <- (f2(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng2 <- (f3(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng3 <- (f4(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng4 <- (f5(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng5 <- (colebrook(Re_Eng, K = drop_units(rel_roughness_Eng)) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng6 <- (f6(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng7 <- (f7(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))

hf_Eng8 <- (f8(eps = drop_units(epsilon_Eng), D = drop_units(Di_Eng), Re = Re_Eng) * drop_units(L_Eng) * drop_units(V_Eng) ^ 2) / (2 * drop_units(Di_Eng) * drop_units(g_Eng))


# result table
result_table_Eng <- data.table(V1 = c("Moody equation", "Romeo, et. al. equation", "Žarko Ćojbašića and Dejan Brkić equation", "Colebrook-White equation", "Colebrook-White equation from Didier Clamond", "Swamee-Jaine equation", "Zigrang-Sylvester equation", "Vatankhah equation"), V2 = c(fr2_Eng, fr3_Eng, fr4_Eng, fr5_Eng, colebrook_Eng, fr6_Eng, fr7_Eng, fr8_Eng), V3 = c(hf_Eng1, hf_Eng2, hf_Eng3, hf_Eng4, hf_Eng5, hf_Eng6, hf_Eng7, hf_Eng8))

setnames(result_table_Eng, c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", "Friction loss for steel pipe over total length"))

prettyEng <- flextable(result_table_Eng)
colkeys <- c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", "Friction loss for steel pipe over total length")
prettyEng <- colformat_num(x = prettyEng, col_keys = colkeys, big.mark=",", digits = 4, na_str = "N/A")
autofit(prettyEng)
```

<br />

Michael Lindeburg used the Moody Diagram to determine that f is 0.0174 and calculated the head loss to be 35.9 feet.

<br />
<br />
<br />
<br />

## Solution in SI units

```{r, warning = FALSE, message = FALSE, tidy = TRUE}
# create a numeric vector to convert from degrees Fahrenheit to degrees Celsius
T_C <- T_F
units(T_C) <- with(ud_units, `°C`)


# create a numeric vector to convert from degrees Celsius to Kelvin
T_K_fromC <- T_C
T_K_fromC

# create a numeric vector with the units of Kelvin
units(T_K_fromC) <- with(ud_units, K)
T_K_fromC


# these 2 numeric vectors should be equal
drop_units(T_K_fromF) %==% drop_units(T_K_fromC)


# create a numeric vector to convert from feet to meters
epsilon_SI <- epsilon_Eng
epsilon_SI

# create a numeric vector with the units of meters
units(epsilon_SI) <- with(ud_units, m)
epsilon_SI


# create a numeric vector to convert from feet to meters
Di_SI <- Di_Eng
Di_SI

# create a numeric vector with the units of meters
units(Di_SI) <- with(ud_units, m)
Di_SI


# relative roughness (dimensionless) of the steel pipe
rel_roughness_SI <- epsilon_SI / Di_SI
rel_roughness_SI


# internal area of the steel pipe
Ai_SI <- Di_SI ^ 2 * pi / 4
Ai_SI


# create a numeric vector to convert from cubic feet per second to liters per second
Vdot_SI <- Vdot_Eng

# create a numeric vector with the units of L/s
units(Vdot_SI) <- with(ud_units, L/s)
Vdot_SI


# velocity of the flowing water
V_SI <- Vdot_SI / Ai_SI
V_SI

# create a numeric vector with the units of meters per second
units(V_SI) <- with(ud_units, m/s)
V_SI


# calculate the kinematic viscosity using the absolute or dynamic viscosity and the density of water
nu_calculate <- mu_SI / rho_SI
nu_calculate

# create a numeric vector with the units of meters squared per second
units(nu_calculate) <- with(ud_units, m^2/s)
nu_calculate


# these 2 numeric vectors should be equal
drop_units(nu_SI) %==% drop_units(nu_calculate)


# Reynolds number
Re_SI <- Re2(D = drop_units(Di_SI), V = drop_units(V_SI), nu = drop_units(nu_SI))
Re_SI


# create a numeric vector to convert from feet to meters
L_SI <- L_Eng
L_SI

# create a numeric vector with the units of meters
units(L_SI) <- with(ud_units, m)
L_SI


# Darcy friction factor (f) for steel pipe
# Moody equation
fr2_SI <- f2(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Romeo, et. al. equation
fr3_SI <- f3(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Žarko Ćojbašića and Dejan Brkić equation
fr4_SI <- f4(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Colebrook-White equation
fr5_SI <- f5(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Colebrook-White equation from Didier Clamond
colebrook_SI <- colebrook(Re_SI, K = drop_units(rel_roughness_SI))

# Swamee-Jaine equation
fr6_SI <- f6(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Zigrang-Sylvester equation
fr7_SI <- f7(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)

# Vatankhah equation
fr8_SI <- f8(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI)


# friction loss for steel pipe
hf_SI1 <- (f2(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI2 <- (f3(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI3 <- (f4(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI4 <- (f5(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI5 <- (colebrook(Re_SI, K = drop_units(rel_roughness_SI)) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI6 <- (f6(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI7 <- (f7(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))

hf_SI8 <- (f8(eps = drop_units(epsilon_SI), D = drop_units(Di_SI), Re = Re_SI) * drop_units(L_SI) * drop_units(V_SI) ^ 2) / (2 * drop_units(Di_SI) * drop_units(g_SI))


# result table
result_table_SI <- data.table(V1 = c("Moody equation", "Romeo, et. al. equation", "Žarko Ćojbašića and Dejan Brkić equation", "Colebrook-White equation", "Colebrook-White equation from Didier Clamond", "Swamee-Jaine equation", "Zigrang-Sylvester equation", "Vatankhah equation"), V2 = c(fr2_SI, fr3_SI, fr4_SI, fr5_SI, colebrook_SI, fr6_SI, fr7_SI, fr8_SI), V3 = c(hf_SI1, hf_SI2, hf_SI3, hf_SI4, hf_SI5, hf_SI6, hf_SI7, hf_SI8))

setnames(result_table_SI, c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", "Friction loss for steel pipe over total length"))

prettySI <- flextable(result_table_SI)
colkeys <- c("Darcy friction factor equation", "Darcy friction factor (f) for steel pipe", "Friction loss for steel pipe over total length")
prettySI <- colformat_num(x = prettySI, col_keys = colkeys, big.mark=",", digits = 4, na_str = "N/A")
autofit(prettySI)
```

<br />

Michael Lindeburg used the Moody Diagram to determine that f is 0.0175 and calculated the head loss to be 9.45 meters.

<br />
<br />
<br />
<br />

## Works Cited

Michael R. Lindeburg, PE, *Civil Engineering Reference Manual for the PE Exam*, Twelfth Edition, Belmont, California: Professional Publications, Inc., 2011, page 17-4, 17-7, and A-22.

Michael R. Lindeburg, PE, *Practice Problems for the Civil Engineering PE Exam: A Companion to the "Civil Engineering Reference Manual"*, Twelfth Edition, Belmont, California: Professional Publications, Inc., 2011, pages 17-1 and 17-8 - 17-9.

The NIST Reference on Constants, Units, and Uncertainty, Fundamental Constants Data Center of the NIST Physical Measurement Laboratory, "standard acceleration of gravity g_n", https://physics.nist.gov/cgi-bin/cuu/Value?gn.

Wikimedia Foundation, Inc. Wikipedia, 15 May 2019, "Conversion of units", https://en.wikipedia.org/wiki/Conversion_of_units.

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