Fig. 1

Physical description and coordinate system (color online)"

Table 1

Thermophysical parameters of fluids and nanoparticles[31]"

Table 2

The viscosity constants for different shapes of nanopartices[32]"

Table 3

Sphericity ψ and nanoparticle shape factor[32]"

Table 4

Comparisons of f''(0) for spherical and steadiness parameters L1=0, L2=0, ϕ1=0.0, ϕ2=0.0, M=0, Re=1, and Pr=6.2 with the previous results"

Table 5

Comparisons of -g'(0) for spherical and steadiness parameters L1=0, L2=0, ϕ1=ϕ2=0.0 M=0, Re=1, and Pr=6.2 with the previous results"

Table 6

Numerical solutions to -f''(0), -g'(0), -θ'(0), and -ϕ'(0) for spherical and non-spherical steadiness parameters ϕ1 =ϕ2 = 0.03, M=1, Re=1, and Pr=6.2 with hybrid nanofluid (transformer oil+Fe3O4+TiO2)"

Table 7

Effects of various parameters on the Nusselt number at ϕ1=ϕ2=0.03 for different nanoparticle shapes of hybrid nanofluid at lower disk (transformer oil+Fe2O3+TiO2)"

Table 8

Effects of various parameters on the Nusselt number at ϕ1=ϕ2=0.03 for different nanoparticle shapes of hybrid nanofluid at upper disk (transformer oil+Fe2O3+TiO2)"

Fig. 2

Effects of distinct shapes on the axial velocity f(η) for different values of parameter L1 (color online)"

Fig. 3

Effects of distinct shapes on the axial velocity f(η) for different values of parameter L2 (color online)"

Fig. 4

Effects of distinct shapes on the radial velocity f'(η) for different values of parameter L1 (color online)"

Fig. 5

Effects of distinct shapes on the radial velocity f'(η) for different values of parameter L2 (color online)"

Fig. 6

Effects of distinct shapes on the tangential velocity g(η) for different values of parameter ϕ1 (color online)"

Fig. 7

Effects of distinct shapes on the tangential velocity g(η) for different values of parameter K (color online)"

Fig. 8

Effects of distinct shapes on the tangential velocity g(η) for different values of parameter M (color online)"

Fig. 9

Effects of distinct shapes on θ(η) for different values of parameter Br (color online)"

Fig. 10

Effects of distinct shapes on θ(η) for different values of parameter S (color online)"

Fig. 11

Effects of distinct shapes on θ(η) for different values of parameter M (color online)"

Fig. 12

Effects of distinct shapes on ϕ(η) for different values of parameter Sc (color online)"

Fig. 13

Effects of distinct shapes on ϕ(η) for different values of parameter En (color online)"

Fig. 14

Effects of distinct shapes on (Cf)ra for different values of parameter Re (color online)"

Fig. 15

Effects of distinct shapes on (Cf)ra for different values of parameter ϕ1 (color online)"

Fig. 16

Effects of distinct shapes on (Cf)rb for different values of parameter ϕ1 (color online)"

Fig. 17

Effects of distinct shapes on (Nu)ra for different values of parameter S (color online)"

Fig. 18

Effects of distinct shapes on (Nu)rb for different values of parameter S (color online)"

Fig. 19

Effects of distinct shapes on (Sh)ra for different values of parameter Sc (color online)"

Fig. 20

Effects of distinct shapes on (Sh)rb for different values of parameter Sc (color online)"

Fig. 21

Effects of distinct shapes on (Sh)ra for different values of parameter En (color online)"

Fig. 22

Effects of distinct shapes on (Sh)rb for different values of parameter En (color online)"

Table 9

Effects of various parameters on the physical parameter ((f''(0))2+(g'(0))2)2.5 and ϕ1=ϕ2=0.03 for different nanoparticle shapes of hybrid nanofluid (transformer oil+Fe2O3+TiO2)"

Table 10

Effects of various parameters on the physical parameter ((f''(0))2+(g'(0))2)2.5 and ϕ1=ϕ2=0.03 for different nanoparticle shapes of hybrid nanofluid (transformer oil+ Fe2O3+TiO2)"