Table 4 The numerical outcomes for skin friction \(\frac{g^{\prime}\left( 0 \right)}{{{{\left( {1 - {\phi_1}} \right)}^{2.5}}{{\left( {1 - {\phi_2}} \right)}^{2.5}}}}\) when \({\phi_1} = {\phi_2} = 0.5,\) Pr = 6.2, N = 0.5 and M = 2.0.

From: Numerical approach towards gyrotactic microorganisms hybrid nanoliquid flow with the hall current and magnetic field over a spinning disk

\(\Omega \)

M

\({\phi_2}\)

\(\frac{g^{\prime}\left( 0 \right)}{{{{\left( {1 - {\phi_1}} \right)}^{2.5}}{{\left( {1 - {\phi_2}} \right)}^{2.5}}}}\)

\(\frac{g^{\prime}\left( 0 \right)}{{{{\left( {1 - {\phi_1}} \right)}^{2.5}}{{\left( {1 - {\phi_2}} \right)}^{2.5}}}}\)

\(\frac{g^{\prime}\left( 0 \right)}{{{{\left( {1 - {\phi_1}} \right)}^{2.5}}{{\left( {1 - {\phi_2}} \right)}^{2.5}}}}\)

\(F{e_3}{O_4}\)

SWCNTs

MWCNTs

2

2

0.2

− 0.63129

− 0.48356

− 0.43156

3

  

− − 0.68588

− 0.58340

− 0.58522

4

  

− 1.71301

− 0.64021

− 1.64321

 

3

 

− 0.71862

− 0.73153

− 0.69853

 

4

 

− 0.76631

− 0.81881

− 0.76681

  

0.3

− 0.77488

− 0.83194

− 0.87494

  

0.4

− 1.78431

− 0.88149

− 0.88432