Coupled flow and heat transfer of power-law nanofluids on non-isothermal rough rotary disk subjected to magnetic field

We study the coupled flow and heat transfer of power-law nanofluids on a non-isothermal rough rotating disk subjected to a magnetic field.The problem is formulated in terms of specified curvilinear orthogonal coordinate system.An improved BVP4C algorithm is proposed,and numerical solutions are obtained.The influence of volume fraction,types and shapes of nanoparticles,magnetic field and power-law index on the flow,and heat transfer behavior are discussed.The obtained results show that the power-law exponents(PLE),nanoparticle volume fraction(NVF),and magnetic field inclination angle(MFIA)have almost no effects on velocities in the wave surface direction,but have small or significant effects on the azimuth direction.The NVF has remarkable influences on local Nusselt number(LNN)and friction coefficients(FC)in the radial direction and the azimuth direction(AD).The LNN increases with NVF increasing while FC in AD decreases.The types of nanoparticles,magnetic field strength,and inclination have small effects on LNN,but they have remarkable influences on the friction coefficients with positively correlated heat transfer rate,while the inclination is negatively correlated with heat transfer rate.The size of the nanoparticle shape factor is positively correlated with LNN.