We show that diffuse interfaces in shear flow are prone to instabilities that are of the same origin and character as the Yih-instability (for sharp interfaces between immiscible fluids). We also show that the development of these “Yih-like” instabilities towards “Yih” is monotonic, and that the agreement with Yih becomes quantitative as the limits of zero thickness and no-diffusion are approached.
Linear Stability of Sharp and Diffuse Interfaces Under Shear
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Theofanous, T, Sushchikh, S, & Nourgaliev, R. "Linear Stability of Sharp and Diffuse Interfaces Under Shear." Proceedings of the ASME/JSME 2007 5th Joint Fluids Engineering Conference. Volume 1: Symposia, Parts A and B. San Diego, California, USA. July 30–August 2, 2007. pp. 627-633. ASME. https://doi.org/10.1115/FEDSM2007-37337
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