Peeling of linearly elastic sheets using complex fluids at low Reynolds numbers
نویسندگان
چکیده
We investigate the transient, fluid–structure interaction (FSI) of a non-Newtonian fluid peeling two Hookean sheets at low Reynolds numbers ( R e ≪ 1 ). Two different fluids are considered – simplified Phan–Thien–Tanner (sPTT) model fluid, and an inelastic with shear-thinning viscosity (generalized Newtonian fluid). In limit small gap between sheets, we invoke lubrication approximation numerically solve for height during start-up pressure-controlled flow. What observe is that impulse pressure applied to sheet inlet, front moves diffusively x f ∼ t / 2 ) towards end when Newtonian. However, one examines complex shear-thinning, propagation sub-diffusively in time α , < 0 . 5 ), but ultimately reaches faster due order magnitude larger prefactor speed. provide scaling analyses similarity solutions delineate several regimes based on elasticity, flow Weissenberg number (for sPTT fluid), exponent generalized fluids). To conclude, this study aims afford experimentalist system knowledge priori characteristics certain class fluids. • Modeled sheets. Examined constitutive rheological models. Developed simulations start-up. Quantified effects shear thinning. Peeling smaller than fluid.
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ژورنال
عنوان ژورنال: Journal of Non-newtonian Fluid Mechanics
سال: 2022
ISSN: ['1873-2631', '0377-0257']
DOI: https://doi.org/10.1016/j.jnnfm.2022.104916