Fig. 2

a Velocity profiles for different values of θ _r and A with Pr = 0.72, Le = 0.66, S = 2, β = 0.02, γ = 0.1, Mn = 10, ε ₁ = ε ₂ = 0.2, Nb = 0.2, Nt = 0.2. b Velocity profiles for different values of Mn and A with Pr = 0.72, Le = 0.66, S = 2, β = 0.02, γ = 0.1, ε ₁ = ε ₂ = 0.2, \( {\theta}_{\mathrm{r}}^{\hbox{-} 1} \) = −5, Nb = 0.2, Nt = 0.2. c Velocity profiles for different values of S and A with Pr = 0.72, Le = 0.66, θ _r  = −5.0, Mn = 2.0, ε ₁ = ε ₂ = 0.2, Nb = 0.1, Nt = 0.1, γ = .01, β = 0.02. d Velocity profiles for different values of β and A with Pr = 0.72, Le = 0.66, θ _r  = −5, Mn = 10, ε ₁ = ε ₂ = 0.2, Nb = 0.2, Nt = 0.2, γ = 0, S = 2.0