?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F158%2F&rft.title=Density+Driven+Turbulent+Mixing+at+Batch+Interfaces&rft.creator=Myers%2C+Tim&rft.creator=Brannan%2C+Jim&rft.subject=Energy+and+utilities&rft.description=Models+are+developed+for+the+turbulent+mixing+and+growth+at+a+batch+interface.+These+models+depend+crucially+on+the+choice+of+diffusion+coefficient+%24D%24.+%0A%0AThe+model+where+%24D%24+is+the+harmonic+average+of+the+mixing+coefficients+of+the+two+pure+fluids+is+analysed+in+detail%2C+since+this+is+likely+to+be+a+good+approximation+when+the+density+difference+between+the+two+fluids+is+small.%0A%0AWhen+the+density+difference+is+large%2C+the+laminar+flow+regime+fingering+will+occur+and+there+will+be+a+relatively+sharp+interface+between+the+fluids.+However%2C+in+the+turbulent+case%2C+as+gravity+drives+the+denser+fluid+into+the+less+dense+one+the+invading+fluid+is+immediately+mixed+by+turbulent+diffusion.+This+means+that+sharp+interfaces+do+not+exist.+Instead+there+will+be+a+finite+mixing+region+where+the+volume+fraction+of+each+fluid+changes+from+%240%24+to+%241%24.+In+this+case+%24D%24+will+depend+upon+the+relative+concentration+of+the+fluids.+This+approach+leads+to+a+degenerate+diffusion+problem.&rft.date=1999&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F158%2F1%2Fturbulent_mixing.pdf&rft.identifier=++Myers%2C+Tim+and+Brannan%2C+Jim++(1999)+Density+Driven+Turbulent+Mixing+at+Batch+Interfaces.++%5BStudy+Group+Report%5D+++++