Velocity and thermal slip effects on MHD convective radiative two-phase flows in an asymmetric non-uniform channel

B. Mallikarjuna ^a,*, S.H.C.V. Subba Bhatta ^b, S. Ramprasad ^b

a. Department of Mathematics, B.M.S. College of Engineering, Bangalore, Affiliated to VTU, Belgaum, Karnataka, India
         b. Department of Mathematics, M.S. Ramaiah Institute of Technology, Bangalore, Affiliated to VTU, Belgaum, Karnataka, India

Abstract: This paper aims to examine the influence of thermal radiation on magnetohydrodynamics (MHD) convective two-phase flows through the asymmetric divergent channel under first-order velocity and thermal slip conditions. Suitable transformations are used to non-dimensionalize the governed partial differential equations and then solved them numerically. A grid-independent test is done to check the consistency of the numerical method and then validated with existing published results in a limiting case. The graphical illustrations are provided to explain the impacts of various emerging parameters on flow fields. An enhancement in particle velocity is observed with an increment in the velocity slip parameter. As the temperature slip parameter improves a decrement in the fluid as well as particle temperature is observed. An increment in radiation parameter augments fluid temperature. This type of flow has multifarious range applications like fluidized beds, gas cooling systems, polishing heart valves and internal cavities, etc.

Keywords: Particulate suspension; Two phase flows; Heat transfer; Thermal radiation; Divergent channel