Abstract：
We studied the effect of nanoparticle sphericity on the mixed convective flow of nanofluids in an inclined channel,
and the influence of different nanoparticle sphericity and nanoparticle volume fraction on the physical parameters of fluid
flow and heat transfer has also been presented. The governing ordinary differential equations are dimensionless and solved
analytically. The explicit distributions of velocity, temperature and pressure are obtained. The effect of the flow reversal of the
nanofluid, the average wall friction coefficient and the average Nusselt number of the nanofluid depends on the nanoparticle
sphericity, the nanoparticle volume fraction and the pressure parameters. The results show that the volume fraction of
nanoparticles plays a key role in delaying the occurrence of countercurrent flow. The nanofluid has a larger delay range , about
2.2 times that of the base fluid. At the same time, the value of nanoparticles increases with the increase of sphericity. The
effect of nanoparticle volume fraction on velocity and temperature distribution is significant. With the increase of its value,
the nanofluid delays the velocity reduction near the upper and lower walls compared with the base fluid. At the same time,
the wall temperature decreases with an increase of the sphericity of nanoparticles. With an increase of the volume fraction
of nanoparticles, the average wall friction coefficient of the nanofluid increases. This is independent of the sphericity of
nanoparticles and the dimensionless pressure parameter
P
2
, and decreases monotonically with an increase of
P
1
. The average
Nusselt number is related to the sphericity of nanoparticles, the volume fraction of nanoparticles and the dimensionless
pressure parameter
P
2
. With an increase of the sphericity of nanoparticles, the average Nusselt value also increases. This paper
analyzes the application of nano microspheres in petroleum engineering, studies the transfer mechanism of mixed convection
of nano particles in inclined channels, and analyzes the effects of different nano particle sphericity and nano particle volume
fraction on the physical parameters of fluid flow and heat transfer. It can provide theoretical support for subsequent parameter
selection of nanospheres in enhanced oil recovery.
