Electrified fractional nanofluid flow with suspended carbon nanotubes.

Improvement in thermal and electric conductivity is the basic requirement of many nano-electrochemical systems. These systems in material science, energy management, and chemical processing can be efficiently handled with the presence of carbon nanotubes in the base fluid. Basically nanofluid is used to act as coolant with enhanced thermal conductivity in equipment such as radiators, heat exchangers, and electronic systems. Transfer of heat in nanofluids has been discussed by many researchers with ordinary derivative but here we have considered fractional derivatives to achieve more control on heat transfer. Here in this communication, we have discussed two-directional viscoelastic fluid flow with suspended carbon nanotubes. SWCNTs as well as MWCNTs are considered as nanoparticles in the base fluid. In order to achieve control of the flow and heat transfer, flow problem is modeled with Caputo fractional derivatives α , β along with fractional momentum and thermal relaxation times λ α and λ 1 β. In the electrically conducting flow regime, electric and magnetic fields are perpendicular to each other and Ohmic heating is appropriately handled in energy equation via Ohm's law. Governing fractional PDEs are nonlinear in nature and solved numerically with finite-difference discretization along with L 1 algorithm. Simulated results of velocity and temperature are noted for both the SWCNTs and MWCNTs. Velocity and temperature profiles for MWCNTs remained at a higher level when compared to SWCNTs for all the values of physical parameters. The presence of fractional derivatives, SWCNTs and MWCNTs made the results valuable that can be used to efficiently handle similar thermal management problems in engineering such as to achieve thermal control in the vehicle engines, refrigerators, grinders, boilers, chillers, and heat exchangers. • Unsteady two directional nanofluid flow with CNTs is constructed. • Control on flow is achieved via fractional derivatives and relaxation times. • Ohmic heating is maintained with the presence of uniform electric field. • Skin friction and Nusselt number are calculated for pertinent parameters. • Finite difference algorithm is used for solution of governing equations. [ABSTRACT FROM AUTHOR]