Scalar transport in Lid driven cavity

CFDtoy · February 17, 2011, 17:08

hi all,
I have a fundamental question/problem. Suppose I have a lid-driven 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

rugabug · February 17, 2011, 23:18

I could be wrong or just not understanding your question but I believe all values are relative to the initial phi that you define.

Jonas Holdeman · February 19, 2011, 10:43

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.

February 17, 2011, 17:08	Scalar transport in Lid driven cavity	#1
CFDtoy Senior Member CFDtoy Join Date: Mar 2009 Location: United States Posts: 145 Blog Entries: 2 Rep Power: 17	hi all, I have a fundamental question/problem. Suppose I have a lid-driven 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 __________________ CFDtoy

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February 17, 2011, 23:18		#2
rugabug New Member Join Date: Mar 2010 Posts: 10 Rep Power: 16	I could be wrong or just not understanding your question but I believe all values are relative to the initial phi that you define.

February 19, 2011, 10:43		#3
Jonas Holdeman Senior Member Jonas T. Holdeman, Jr. Join Date: Mar 2009 Location: Knoxville, Tennessee Posts: 128 Rep Power: 18	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.