Scalar transport in Lid driven cavity
hi all,
I have a fundamental question/problem. Suppose I have a liddriven cavity problem (cavity surrounded by 4 walls) and I initialize a scalar (phi) in the system and solve for the scalar (carried by fluid)  does the scalar value change and distribute itself as per velocity distribution or does it remain the same everywhere  no change? Given that the initial value of the scalar is constant and no inlets/outlets, what will be the source of change for this scalar? Thanks, CFDtoy 
I could be wrong or just not understanding your question but I believe all values are relative to the initial phi that you define.

The scalar will be redistributed via transport (mixing) and diffusion. You need a mass transport equation to model diffusion.
Remember that (neglecting diffusion) for low speed Stokes flow. the system can be "unmixed" by reversing the flow. 
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