A tensor field is like a map of arrows that have different strengths and directions. Imagine a big field with lots of arrows that are all pointing in different directions and some are stronger than others. Now imagine that each arrow can represent something different like force, velocity or temperature. The arrows can also change as you move around in the field.
Just like how we use maps to navigate, scientists use tensor fields to study different things like how air moves in the atmosphere or how gravity affects objects in space. They can also be used to study the deformation of materials under stress or the distribution of electric charge in a circuit.
So, imagine playing with a toy car and you want to see how it moves on a ramp. Scientists can create a "tensor field" to represent how steep the ramp is, the force of gravity acting on the car, and the speed at which the car is moving. Now, they can use the "map" of the tensor field to predict how the car will move down the ramp based on all of these different factors.
Overall, a tensor field is like a tool that helps scientists understand and predict how things move and change in the world around us.