Theoretical analysis of two-layer fluids with continuity of stresses at interface and slip at the walls of an inclined channel

• Main Authors: Zaheer Abbas, Iqra Altaf, Jafar Hasnain, Amjad Ali
• Format: Article
• Language: English
• Published: Elsevier 2021-03-01
• Series: Ain Shams Engineering Journal
• Subjects: Rotating system; Two-phase flow; Nanofluid; Thermal radiation; Slip flow; Inclined channel
• Online Access: http://www.sciencedirect.com/science/article/pii/S2090447920301969

The rotating flow of two fluids having an interface separating the viscous fluid and magnetite-water ferrofluid is studied. The fluids are non-miscible and streaming in an inclined channel. The walls of the channel are smooth enough to examine the slip effects on the flow. The channel is subjected to the transverse magnetic field and thermal radiations. To achieve the flow equations governing the flow phenomena a fully developed flow is taken into consideration. The resultant ordinary differential equations (ODEs) are converted into non-dimensional forms which are coupled and non-linear. Approximate series solutions for flow fields are obtained separately by the aid of the Perturbation technique and then matched at the interface region via relevant matching conditions. The results are drawn graphically to comprehend the effects of various essential parameters on temperature and flow fields. A decreasing response in the primary velocity profile is observed with a rise in rotation parameter, ferroparticles volume fraction and Hartmann number while it increases with a rise in slip parameters. The secondary velocity shows an oscillating behavior for rotation parameter whilst magnetic flux and slip parameters increase the secondary profiles. The primary and secondary velocities will decrease throughout the channel if the fluid in the lower layer is more viscous relative to the upper one. It can also be noticed that the radiation decreases the influence of natural convection by decreasing the temperature difference and temperature profile increases with a rise in thermal conductivity (TC).