As the subject about, I had just done an experiment by using the Convergent-Divergent Duct (Bernoulli's Apparatus) in purpose to identify the Bernoulli's Equation.
However, I had found that there is an increasing in total head from the graphs I obtained. How could it be?
That depends on where you measure the pressure. It will take more energy to push the fluid through the convergent-divergent tube, even though the pressure measured orthogonal to the flow at the restriction will be lowered.
As you have found the pressure is lowered in one direction and increased in the other.