The nutrient film technique or 'NFT' hydroponic system can appear complex at first glance but is actual fairly simple to understand in concept.
It consists of angled channels on which plants sit with their exposed roots freely hanging in the channel cavity below
Water is then pumped down the channels and it flows over the plants' roots providing them with the nutrition they need to grow.

The key feature of a nutrient film technique system is the constantly flowing supply of nutrient-rich water. The channels that supply the roots with water are slightly angled, so the water itself is always flowing and moving, creating a thin nutrient "film". This means that the water can provide a constant supply of fresh nutrients as well as remain oxygenated. Just like people, plants also need oxygen to perform respiration and provide themselves with the energy they need to grow.
As far as the mechanics of the nutrient film technique system go, there are a number of moving parts to consider... well one specifically, the water pump.
Nutrient film technique systems are completely reliant on a water pump to circulate the nutrient solution around the system. It effectively acts like the heart of the system, so if it stops, your plants will die. It's therefore imperative that measures are put in place to ensure this doesn't happen, more on that later.
The flow rate of the water is also significant to consider. This represents the amount of water that passes through the system within a specified time frame. Too fast and the plants may not receive enough nutrition, too slow and there is a risk of overnutrition, oxygen deprivation, and the buildup of algae and bacteria.
The gradient or slope of the channels plays a significant role in determining the flow rate. But the size of the roots and other factors also alter the flow rate of the water so there is no one size fits all answer to the correct gradient and flowrate.
I've done some research and here are a slection of interesting studies that delve into the relationship between channel gradient, flow rate, and plant growth withn NFT systems
I've understood the general universal flow rate to be around 1-2 l/m (litres per minute), but wanted to get some concrete data to support this.
A good point of reference is Allen Cooper's "ABC of NFT" (1996). The book is hard to come by but Hoocho on YouTube has a great video on it HERE.
The following articles all investigate the effect that flow rate has on the efficacy of NFT-style systems, covering a variety of different plants.
The Effects of Slope and Channel Nutrient Solution Gap Number on the Yield of Tomato Crops by a Nutrient Film Technique System under a Warm Climate
Salinity and flow rates of nutrient solution on cauliflower biometrics in NFT hydroponic system
Head lettuce production and nutrition in relation to nutrient solution flow
Optimum flow rate enhances the performance of lettuce (Lactuca sativaL.) in hydroponic culture
Effect of Flow Rate and Length of Gully on Lettuce Plants in Aquaponic and Hydroponic Systems
Hydroponic lettuce production in different concentrations and flow rates of nutrient solution
Effect of the Flow Rate on Plant Growth and Flow Visualization of Nutrient Solution in Hydroponics
Conclusion
So as you can see there are a number of different ideas surrounding what the ideal flow rate is for optimal NFT system efficacy as well as discussions on whether l/m (litres per minute) is even a useful measurement when discussing this.
That said it is clear to see that among these studies a flow rate between 1-2 l/m does appears a number of times.
A limitation of this analysis is that most of the studies above are using lettuce or greens. It is important to remember that different crops will always differ from one another and that there is ultimately no one-size-fits-all solution.
You will always have to test and tweak as you go depending on multiple factors but a flow rate of 1-2 l/m is definitely a good place to start!