Abstract
The work focuses on the exact solution of the perturbative model for a plane-parallel flow of two immiscible fluids under constant transversal magnetic field (Hartmann flow). The special case of the perturbation’s symmetry is considered: it is supposed that perturbations intensity depends just on specified two parameters and time. Nevertheless, the considered case seems to be common enough and can be considered as one of the flow stability criteria. To receive exact solution, the governing equation system is analyzed. It is shown that in the considered case, it can be reduced to heat equations for the nontrivial components. The perturbations considered in this work are not necessary of harmonic type and the corresponding equations on the perturbations are not Orr-Sommerfeld equations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
