IMPACT OF NANOFLUIDS ON EXTERNAL AND INTERNAL FLOW VIA NAVIER-STOKES AND CONVECTIONDIFFUSION EQUATIONS FOR PARALLEL PLATES WITH SLIP BOUNDARY CONDITIONS

Abstract

With the modernization and miniaturization of equipment and systems to
increase the overall efficiency in smaller spaces, new cooling solutions need
to be developed. Microfluidic in the last decades becomes a new way to get
this. Nanofluids are used to attend this demand to optimize efficiency, with
their improved thermohydraulic properties, especially different thermal
conductivities. To determine the advantages of using a nanofluid for thermal
exchange, the properties, parameters and modelling will be presented, and the
differential equations necessary to obtain the results. In that sense, the basic
theory of fluid mechanics and heat transfer, through the Navier-Stokes and
Convection-Diffusion equation, is used in the two-dimensional steady-state
formulation. Slip boundary conditions for the velocity field. Constant heat flux
and constant temperature at the surface are used for the temperature field,
initially without the flow’s microscale effects. The external flow over a flat
plate and internal flow between parallel plates will be studied. Considering a
laminar flow, with the base fluid being water and engine oil, with various
volumetric fractions of Single Wall and Multiple Wall Carbon Nanotubes. To
determine the results and create the comparative graphs, the Wolfram
Mathematica v.11 software will be used for solving the remaining partial
differential equations.