Kinetic Energy is given by the standard [math]\frac{1}{2}mv^2[/math] Flow energy however, is a different thing. read more
change in total energy = heat flow into the control volume - work done by the control volume + (enthalpy of the incoming mass + kinetic energy energy of incoming mass + potential energy of incoming mass) - (enthalpy of the exiting mass + kinetic energy energy of exiting mass + potential energy of exiting mass). read more
This energy is transferred via the rod but it does not changethe kinetic energy of the molecules of the rod. This energy goes intothe other bath and increases kinetic energy there. This transfer ofkinetic energy from the hot to the cold bath via the rod (withoutheating the rod) is called heat. read more