Solutions of Energy Equation
The energy for incompressible flows, neglecting mechanical work and gas radiation, may be written as
where is the viscous dissipation given as
Equation (36.1) mar be non-dimensionalzed in the following way:
Substituting the above variables in equation (36.1) we obtain
where is the nondimensional form of . Finally, the normalized energy equation becomes
where the Peclet number is given as
or
Further, Ec, the Eckert number is
is the viscous dissipation given as 
is the nondimensional form of 
. Finally, the normalized energy equation becomes 
the Peclet number is given as 
