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13 Viscosity Generalization

Hello. Welcome to the course on Chemical Process Modeling and Simulation. In this channel, you will find a set of video lectures. 13 Viscosity_Generalization This talk is the third and final one in a series of three lectures to introduce molecular momentum transport (friction) and the property of the fluid that captures it, viz., viscosity. The talk briefly introduces the idea of tensors, shear stress tensor, molecular stress (or momentum flux) tensor, rate of strain tensor and vorticity tensor in generalizing the model for molecular momentum transport, viz., Newton's law of viscosity. The idea of Stokesian fluids is presented. Vector-tensor notation and Einstein notation for tensors are touched upon in passing. Finally, the two fluid properties - shear viscosity and dilatational viscosity - that describe the relationship between the deformations in fluids and the flux of momentum transport by molecular transport (by contact) are introduced. Mathematically and conceptually, this is a challenging lecture that might probably require more than one listening. I would be happy to answer any questions you might have on the content, to the best of my abilities. Please feel free to give your feedback in the comments section below. This is the first time I am uploading such video content for an online course. So, please feel free to comment on how I can improve - technical, pedagogical and infrastructural standpoints. Thanks!