Determines the Grashof number for an object

Description

Determines the Grashof number for an object. The Grashof number is used in calculations of heat exchange.

Usage

1
Grashof(L = 1, Ts = 25, Ta = 20)

Arguments

L

Characteristic dimension of object in metres. Usually height, depending on object shape.

Ts

Surface Temperature of object, in degrees Celsius.

Ta

Air/Ambient Temperature surrounding object, in degrees Celsius.

Details

The Grashof number is a dimensionless number describing the ability of a parcel of fluid warmer or colder than the surrounding fluid to rise against or fall with the attractive force of gravity as follows: Gr=agL^3(Ts-Ta)/v^2 where L is the characteristic dimension, usually the vertical dimension. For reference, a cylinder's characteristic L would be its height, assuming it is standing on its end Units of L should be in metres This L should be the same L as is used for the convective coefficient calculation Ts is the surface temperature Ta is the ambient temperature v2 is the kinematic viscosity squared (calculated from airviscosity(Ta))

Author(s)

Glenn J Tattersall

References

Blaxter, K. 1989. Energy Metabolism in Animals and Man. Gates, D. M. 2003. Biophysical Ecology. Dover Publications, Mineola, New York. 611 pp.

See Also

airviscosity

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
## The function is currently defined as
function (L = 1, Ts = 25, Ta = 20) 
{
    a <- 1/273
    g <- 9.81
    Gr <- a * g * L^3 * (Ts - Ta)/v^2
    Gr
  }

# Typical values for Grashof number range from 0.016 to 4.6e+09 if Ts-Ta varies from 
# 0.1 to 30oC

# Example calculation:
L<-1
Ts<-30
Ta<-20
Grashof(L, Ts, Ta)  

Want to suggest features or report bugs for rdrr.io? Use the GitHub issue tracker.