Water flow effect in a water tube Model

Hi Guys,
I am making water flow effect in a tube for that what i had done is, given water texture to the tube and making offset value to UV change through scripting and getting the water flow effect continuously(same speed along the pipe in a single frame).
But my requirement is to get the water flow effect should vary in speed from start to end of the tube in a single frame. i.e speed of the water flow effect should be different compare to tube end position(speed should increase along the pipe). stuck in same scenario. please give me necessary steps to over come the issue.

It’s not so easy as you might think. The best way to implement that is to use a flowmap shader. just google it and you’ll find some examples and inspirations.