0. Units

Transport specified in dimensions, measured in units

5 Basic dimensions used to describe all physical quantities:

Quantity Dimension Units(SI) Note
Temperature T Kelvin ($K$); Celsius ($^\circ$$C$ ) $T(K) = T(^\circ C)+273.15$
Force $MLt^{-2}$ Newton ($N$) $1 N = 1kg m s^{-2}$
Energy $ML^{2}t^{-2}$ Joule ($J$) 1J=1Nm
Heat Flow (Q) $ML^{2}t^{-3}$ Watts ($W$) $1W = 1Js^{-1} = 1Nms^{-1}$
Heat Flux (q) $Mt^{-3}$ $Wm^{-2}$ $Flux = Flow \div Area$
Concentration (C) $ML^{-3}$ $kgm^{-3}$ $molar \quad C [molm^{-3}]$
Solute Flow (J) $Mt^{-1}$ $kgs^{-1}$ $molar \quad J [mols^{-1}]$
Solute Flux (j) $ML^{-2}t^{-1}$ $kgm^{-2}s^{-1}$ $molar \quad j [molm^{-2}s^{-1}]$

1. Introduction of Heat Transport

Laws of Thermodynamics

Zeroth Law

If body A is in thermal equilibrium with body B, and B with C, then A is in thermal equilibrium with C

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First Law

The energy of an isolated system is constant

Energy can neither be created or destroyed, it only changes forms (Conservation of Energy)

Second Law

When two systems are brought into thermal contact, heat flows spontaneously from the one at higher temperature to the one at lower temperature, not the way around