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Fig 1.

The ℏ–curves for f, θ and ϕ in case of elastico-viscous fluid.

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Fig 1 Expand

Fig 2.

The ℏ–curves for f, θ and ϕ in case of second grade fluid.

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Fig 2 Expand

Table 1.

Homotopic solutions convergence in case of elastico-viscous material for different order of deformations when k* = 0.2, δe = δc = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 1 Expand

Table 2.

Homotopic solutions convergence in case of second grade material for different order of deformations when k* = −0.2, δe = δc = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 2 Expand

Fig 3.

Plots of velocity profile f′(ζ) for viscoelastic parameter k*.

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Fig 3 Expand

Fig 4.

Plots of temperature profile θ(ζ) for viscoelastic parameter k*.

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Fig 4 Expand

Fig 5.

Plots of temperature profile θ(ζ) for thermal relaxation parameter δe.

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Fig 5 Expand

Fig 6.

Plots of temperature profile θ(ζ) for Prandtl number Pr.

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Fig 6 Expand

Fig 7.

Plots of temperature profile θ(ζ) for Brownian motion parameter Nb.

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Fig 7 Expand

Fig 8.

Plots of temperature profile θ(ζ) for thermophoresis parameter Nt.

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Fig 8 Expand

Fig 9.

Plots of concentration profile ϕ(ζ) for viscoelastic parameter k*.

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Fig 9 Expand

Fig 10.

Plots of concentration profile ϕ(ζ) for concentration relaxation parameter δc.

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Fig 10 Expand

Fig 11.

Plots of concentration profile ϕ(ζ) for Schmidt number Sc.

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Fig 11 Expand

Fig 12.

Plots of concentration profile ϕ(ζ) for Brownian motion parameter Nb.

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Fig 12 Expand

Fig 13.

Plots of concentration profile ϕ(ζ) for thermophoresis parameter Nt.

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Fig 13 Expand

Table 3.

Comparative values of for different values of viscoelastic parameter k*.

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Table 3 Expand

Table 4.

Numerical data for skin friction coefficient for various values of k*.

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Table 4 Expand

Table 5.

Numerical values of heat transfer rate −θ′(0) in case of elastico-viscous material for different values of δe when k* = 0.2, δc = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 5 Expand

Table 6.

Numerical values of heat transfer rate −θ′(0) in case of second grade material for different values of δe when k* = −0.2, δc = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 6 Expand

Table 7.

Numerical values of mass transfer rate −ϕ′(0) in case of elastico-viscous material for different values of δc when k* = 0.2, δe = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 7 Expand

Table 8.

Numerical values of mass transfer rate −ϕ′(0) in case of second grade material for different values of δc when k* = −0.2, δe = 0.2, Nb = 0.3, Pr = 1.2, Nt = 0.1 and Sc = 1.0.

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Table 8 Expand