This Advection equation computes the transfer of energy from one location to another through the physically movement of an object or material containing that energy.  By moving mass, thermal energy is moved, transferring heat or cold from one place to another.

• Q  - the heat flux, typically in units of W/`m^2` = J/(`m^2 * s`)
• ? -the density
• `c_p` - the heat capacity at constant pressure, typically in units of (J/(`kg*K`))
• `DeltaT` - the change in temperature
• v - the velocity of the liquid flow

Description

Advection is more generally a fluid's transport mechanism by which substance or conserved property is transported with the fluid's bulk motion. In general, any substance or conserved, extensive quantity can be advected by a fluid that can hold or contain the quantity or substance.¹

Examples of advection are²:

• the transport of pollutants or silt in a river by bulk water flow downstream
• the transport of energy or enthalpy with the movement of a fluid such as water or air
• the transport of some property of the atmosphere or ocean, such as heat, humidity, or salinity, often in context to meteorology and physical oceanography
• the transport of water associated with the formation of orographic clouds and the precipitation of water from clouds, as part of the hydrological cycle

In advection, a fluid transports some conserved quantity or material via bulk motion. The fluid's motion is described mathematically as a vector field, and the transported material is described by a scalar field showing its distribution over space. Advection requires currents in the fluid, and so cannot happen in rigid solids. It does not include transport of substances by molecular diffusion.³

1. ^ http://en.wikipedia.org/wiki/Advection
2. ^ http://en.wikipedia.org/wiki/Advection
3. ^ http://en.wikipedia.org/wiki/Advection