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Increasingly innovatory techniques are being developed for the manufacturer of coated sheets. Magnetite non-Newtonian fluids have been shown to exhibit stretchable wall slip, which arises due to non-adherence of the non-Newtonian fluid to the boundary. Motivated by the physical nature of the magnetic non-Newtonian fluid in manufacturing transport phenomena, we develop a model to analyze the collective influence of velocity and thermal slips, radiative heat flux effects on fluid and heat transport phenomena in magnetic non-Newtonian fluid flow in a channel with stretchable walls. Governing equations are non-dimensionalized and solved numerically. Grid independence test has been performed and then compared with existing literature in limiting cases. Results are discussed with the aid of graphs for the sway of several physical parameters, Casson parameter, Magnetic parameter, Thermal radiation parameter on fluid velocity, as well as temperature profiles for different cases: No-slip, only first-order slip, and first and second-order slips.

In this article an attempt has been made to dscuss the velocity and temperature slip effects on MHD convective two phase particulate suspension flow in a convergent channel with viscous dissipation .The non dimensionalised governing equations are solved using Runge-Kutta shooting method.The results obtained are represented graphically for various emerging parameters.The skin friction coefficient and Nusselt number are obtained and validated with existing results.It is found that with an increase in velocity slip parameter the velocity of the fluid increases.The fluid phase temperature decreases with an increase in temperature slip parameter.

Mathematical model has been analyzed on MHD convective two-phase flow in a divergent channel with viscous dissipation. The effects of velocity and temperature slip are considered. The relevant governing equations are non-dimensionalised with the help of appropriate transformations and then solved numerically. The present results overlooked with existing results and found in an excellent agreement. Effects of emerging parameters on the flow are discussed and demonstrated graphically. Graphical aid is also used to present the variations in skin friction and Nusselt number. It is found that an increase in velocity slip, the velocities of fluid as well as particle phases are increased. An increase in temperature slip, the temperature of fluid phase gets decreased. KEY WORDS:Particulate suspension, two-phase flow, diverging channel,Slip effects