Shear rheology of a dilute emulsion of ferrofluid droplets dispersed in a nonmagnetizable carrier fluid under the influence of a uniform magnetic field

The effect of a spatially uniform magnetic field on the shear rheology dilute emulsion monodispersed ferrofluid droplets, immersed in non-magnetizable immiscible fluid, is investigated using direct numerical simulations. direction applied normal to flow direction. droplets extra stress tensor arising from presence interfacial forces nature modeled basis seminal work G. K. Batchelor, J. Fluid Mech., 41.3 (1970) under assumptions linearly magnetizable phase and negligible inertia. results show that even relatively small fields can have significant consequences rheological properties due contribute deform orient towards vector. In particular, we observed an increase effective (bulk) viscosity reversal sign two differences with respect case without for those conditions where force prevails over shearing force. Comparisons between our model integration viscous provided indication its reliability predict suspension. Moreover, this latter quantity has been found behave as monotonic increasing function constant flows ("magneto-thickening" behaviour), which allowed us infer simple constitutive equation describing viscosity.