In the West, Hatha Yoga generally refers to individual postures that are held. Flowing styles, often going by names like Vinyasa Flow or Ashtanga Vinyasa, link individual postures into a sequence and often begin standing (Sun Salutation based) and progress to seated postures and then finishing with inversions or seated meditations and breath work before resting.
My signature Slow Flows originate in Ashtange Yoga (Pattabhi Jois style) but are also inspired by other traditions like Kripalu or Shadow Yoga School. As my intent is to TEACH I do not treat this practice as if it were a "workout"; if you are sweating profusely or feeling like you are unable to "keep up" or lose your ability to regulate your breath you have disconnected from the core philosophy of traditional Yoga: a balance of effort and ease.
This does not mean you can't get a "good workout" or get your heart rate into your aerobic zone, only that setting your intention for your practice and maintaining full awareness of how your breath and body are reacting to your intention for practice will make the difference between reaching your goals with Yoga or falling into a battle between your ego and your intelligence.