Effects of Magnetic Field and Thermal Radiation on Bödewadt Flow of Nanofluid.

Abstract

Rotating flow over a stationary disk is referred as Bödewadt flow. It appears in spin-up and impulsive spin-down to rest problems. The transient flow in these problems evolves into a quasi-steady regime that displays the properties of the Bödewadt flow. On the other hand, nanofluids are relatively new generation heat transfer fluids which show strong heat transfer even at very low concentrations of particles and are very helpful when resolving thermal system problems. Literature showed that many researchers have worked on nanofluids and Bödewadt flows. However, the effect of magnetic field along with thermal radiation has yet to be reported for Bödewadt flow of nanofluids. This dissertation provides a numerical solution for Bödewadt flow of nanofluid within magnetic field and thermal radiation, it also contains an introduction to nanofluids their mathematical models and numerical methods. Mathematical models are described in detail by using tensor operators in cylindrical coordinates. To find graphical and numerical solutions, a simple routine bvp4c of the MATLAB and finite difference scheme as Keller box method is implemented. Solution showed negligible effect of magnetic parameter on radial component of velocity. By increasing values of Prandtl number rate of heat transfer decreases. It is observed that skin friction coefficient and volume fraction of nanoparticles have non-linear relationship with each other. Rising magnetic forces further dampens the local Nusslet number. We observed a rapid rise in the rate of heat transfer as for specific Rd values, 𝜃𝑤 is increased, with an increase in function slope Rd values will be further increased. Stretching forces are balanced by magnetic forces. Results in both Graphical and tabular form are present in section of result and discussion.