Nonlinear thermomagnetic instabilities in ferromagnetic nanofluids

The use of non-conducting ferrofluids offers a perspective way of enhancing and magnetically controlling heat transfer in space and microelectronics applications, where natural convection cannot arise. The intensity of such heat exchange depends critically on thermomagnetic instabilities arising in non-isothermal ferrofluids under the influence of an external magnetic field. A nonlinear interaction of instability patterns taking the form of vertical, horizontal and crisscross patterns has been analysed using the developed version of the disturbance amplitude expansion that, unlike previously known approaches, remains accurate in wide parametric region away from the bifurcation point where instability first sets.