Table 1: Dimensionless spatial velocity distribution ( 𝑢 ) for 𝐺 𝑟 = 2 . 0 𝐾 𝑟 = 1.0, 𝐾 𝑝 = 1 . 0 , 𝑃 𝑟 = 0 . 7 , and 𝑡 = 0 . 2 for the effect of Hartmann number ( 𝑀 2 ).

𝑦 𝑀 2 5.0 Laplace/NSM 𝑀 2 8.0 Laplace/NSM 𝑀 2 10.0 Laplace/NSM

0.01.0/1.01.0/1.01.0/1.0
0.50.38047/0.352360.29907/0.287880.26028/0.25409
1.00.13844/0.109870.09607/0.084720.07858/0.07234
1.50.04490/0.030690.02992/0.024580.02424/0.02158
2.00.01205/0.008130.00800/0.006940.00651/0.00627