Heat Transfer in Magnetofluidynamic MFD Systems

let us examine some basic electromagnetic concepts. For a neutrally charged system the current density J is given by 

The work done on the system per unit time by the electromagnetic force is 

There is a further transport of charge resulting from the macroscopic velocity V. given by 

A careful manipulation of the foregoing equations yields the follow ing relation for the electromagnetic work  

The second term in Eq. (12-11) is called the ohmic heating and is given as the product of the resistivity and conduction current squared. 

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