Table 13 Torques on lower and upper plate with \(\xi _{a} = 0.01\), \(\xi _{z} = 1\), \(\xi _{\theta } = 0.5\), \(\xi _{mag} = 0.1\), \(\xi _{pr} = \xi _{hm} = \xi _{pm} =\xi _{sm} = \xi _{ec} = 0.005\), \(\xi _{vis} = S = 0.1\) and various values of \(\xi _{sq}\).

From: Hydrodynamic analysis of the magnetic field dependent viscous fluid flow and thermosolutal convection between rotating channels

\(\xi _{sq}\)

Rashidi et al.15

HAM result

 

\(g'(0)\)

\(g'(1)\)

\(g'(0)\)

\(g'(1)\)

0.1

\(-\,1.08963506\)

\(-\,0.95987349\)

\(-\,1.08963672\)

\(-\,0.95989843\)

0.2

\(-\,1.17203765\)

\(-\,0.93844830\)

\(-\,1.17208879\)

\(-0.93846874\)

0.3

\(-\,1.25013649\)

\(-\,0.92615609\)

\(-\,1.25010991\)

\(-\,0.92612331\)

0.5

\(-\,1.39797797\)

\(-\,0.91295593\)

\(-\,1.39792988\)

\(-\,0.91296243\)

1

\(-\,1.73306821\)

\(-\,0.89280536\)

\(-\,1.73309746\)

\(-\,0.89282365\)

2

\(-\,2.28925762\)

\(-\,0.83902117\)

\(-\,2.28929872\)

\(-\,0.83903546\)