sp_gravity: Specific Volume

In iemisc: Irucka Embry's Miscellaneous Functions

Specific Volume

Description

This function solves for the specific volume of a substance using only the substance's density and the density of water.

Usage

sp_gravity(
  rho_w,
  rho_s,
  units = c("SI", "Eng"),
  Eng_units = c("slug/ft^3", "lbm/ft^3")
)

Arguments

rho_w	numeric vector that contains the density of water
rho_s	numeric vector that contains the density of the substance
units	character vector that contains the system of units options are SI for International System of Units or Eng for English units (United States Customary System in the United States and Imperial Units in the United Kingdom)
Eng_units	character vector that contains the unit for the density of water options are slug/ft^3 or lbm/ft^3

Details

The equation is expressed as

SG = \frac{\\rho_s}{\\gamma_w} = \frac{\\rho_s}{\\rho_w}

SG

specific volume (dimensionless)

\gamma_w

unit weight or specific weight of water (N/m^3 or lbf/ft^3)

\rho_s

substance density (mass divided by volume) [kg/m^3, slug/ft^3", or lbm/ft^3]

\rho_w

water density (mass divided by volume) [kg/m^3, slug/ft^3", or lbm/ft^3]

Value

the specific volume as a numeric vector

Author(s)

Irucka Embry

References

1. Material Properties, 27 March 2022, "Sand – Density – Heat Capacity – Thermal Conductivity", https://material-properties.org/sand-density-heat-capacity-thermal-conductivity/

2. WikiEngineer, 27 March 2022, "Water Properties & Definitions", https://web.archive.org/web/20210412034245/http://www.wikiengineer.com/Water-Resources/PropertiesAndDefinitions. Retrieved thanks to the Internet Archive: Wayback Machine

Examples

# Examples

install.load::load_package("iemisc", "units")

# The density of sand is 1500 kg/m^3 -- Reference 1

rho_sand <- set_units(1500, "kg/m^3")


# convert this density to slug/ft^3
rho_sand_slug <- rho_sand

# create a numeric vector with the units of slug/ft^3
units(rho_sand_slug) <- make_units(slug/ft^3)


# convert this density to lbm/ft^3
rho_sand_lbm <- rho_sand

# create a numeric vector with the units of lb/ft^3
units(rho_sand_lbm) <- make_units(lb/ft^3)



rho1 <- density_water(Temp = 68, units = "Eng", Eng_units = "slug/ft^3")

sp_gravity(rho_w = rho1, rho_s = rho_sand_slug, units = "Eng", Eng_units = "slug/ft^3")


rho2 <- density_water(Temp = 68, units = "Eng", Eng_units = "lbm/ft^3")

sp_gravity(rho_w = rho2, rho_s = rho_sand_lbm, units = "Eng", Eng_units = "lbm/ft^3")


rho3 <- density_water(Temp = 20, units = "SI")

sp_gravity(rho_w = rho3, rho_s = rho_sand, units = "SI")

iemisc documentation built on Sept. 25, 2023, 5:09 p.m.