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 June 22, 2024, 9:45 a.m.