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Fig 1.

A sketch of the physical problem.

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Fig 1 Expand

Table 1.

Comparison table of the values of f′′(0) and h′(0) when M = 0 with recent literature.

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Table 1 Expand

Table 2.

Wall temperature gradient ∣−θ′(0)∣ for the PST case taking Pr = 0.72, R = 1 β = −0.25, L = 1, Ec = 1 and Nr = 2.0.

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Table 2 Expand

Table 3.

Wall temperature gradient ∣g(0)∣ for the PHF case taking Pr = 0.72, R = 1 β = −0.25, L = 1, Ec = 1 and Nr = 2.0.

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Table 3 Expand

Fig 2.

Initial values F′′(0) and h′(0) versus α and M.

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Fig 2 Expand

Fig 3.

Effect of α on velocity profiles f′(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.

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Fig 3 Expand

Fig 4.

Effect of α on velocity profiles h(η) for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and ϵ = 0.5.

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Fig 4 Expand

Fig 5.

Effect of α on temperature profile for M = 0.1, δ = 0.2, β = −0.25, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 5 Expand

Fig 6.

Effect of magnetic parameter M on velocity profiles f′(η) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 6 Expand

Fig 7.

Effect of magnetic parameter M on velocity profiles h(η) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 7 Expand

Fig 8.

Effects of magnetic parameter M on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.

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Fig 8 Expand

Fig 9.

Effects of magnetic parameter M on temperature profiles (PHF case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.

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Fig 9 Expand

Fig 10.

Effects of ϵ on temperature profiles (PST case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.

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Fig 10 Expand

Fig 11.

Effects of ϵ on temperature profiles (PHF case) for δ = 0.2, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0 and L = 1.0.

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Fig 11 Expand

Fig 12.

Effect of β on velocity profiles f′(η) for M = 0.1, δ = 0.2, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 12 Expand

Fig 13.

Effect of β on velocity profiles h(η) for M = 0.1, δ = 0.2, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 13 Expand

Fig 14.

Effect of δ on velocity profiles f′(η) for M = 0.1, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 14 Expand

Fig 15.

Effect of δ on velocity profiles h(η) for M = 0.1, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 15 Expand

Fig 16.

Effect of δ on temperature profile (PST case) for M = 0.1, β = −0.25, α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 16 Expand

Fig 17.

Effects of thermal radiation parameter Nr on temperature profiles θ(η) for δ = 0.2, Pr = 0.72, β = −0.25, Ec = 1.0, α = −0.95, M = 0.1, R = 1.0 and L = 1.0.

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Fig 17 Expand

Fig 18.

Effects of thermal radiation parameter Nr on temperature profiles g(η) for δ = 0.2, Pr = 0.72, β = −0.25, Ec = 1.0, α = −0.95, M = 0.1, R = 1.0 and L = 1.0.

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Fig 18 Expand

Fig 19.

Effect of M on Skin friction coefficients for α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 19 Expand

Fig 20.

Effect of δ on Skin friction coefficients for α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 20 Expand

Fig 21.

Effect of M on heat transfer coefficients for α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 21 Expand

Fig 22.

Effect of δ on heat transfer coefficients for α = −0.95, Pr = 0.72, Nr = 0.2, Ec = 1.0, R = 1.0, L = 1.0 and ϵ = 0.5.

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Fig 22 Expand