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Fig 1.

Typical wire coating process.

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Fig 1 Expand

Fig 2.

Wire coating process in a porous medium in a pressure type coating die.

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Fig 2 Expand

Table 1.

Nomenclature of the model.

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Table 1 Expand

Fig 3.

The - curve of velocity and temperature profiles for 20th-order approximation.

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Fig 3 Expand

Fig 4.

Comparison of HAM and ND-Sole methods.

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Fig 4 Expand

Table 2.

The homotopy-pade approximation of w(1) and θ(1) for Reynlods model when χ = 6, R = 2, Br = 10, M = 0.1, β = 0.2.

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Table 2 Expand

Table 3.

The homotopy-pade approximation of w(1) and θ(1) for Vogel’s model when Ω = 6, R = 2, Br = 13, M = 0.1, β = 0.2.

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Table 3 Expand

Table 4.

Numerical comparison for velocity profile given in Eq (39) using HAM, ND-Sole methods and ADM Ω = 5, R = 2, Br = 10, M = 0.1, β = 0.2.

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Table 4 Expand

Fig 5.

Velocity and temperature distribution showing the effect of viscoelastic parameter β when χ = 6, R = 2, Br = 10, M = 0.1.

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Fig 5 Expand

Fig 6.

Velocity and temperature distribution showing the effect of magnetic parameter M when χ = 6, R = 2, Br = 10, β = 0.2.

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Fig 6 Expand

Fig 7.

Velocity and temperature distribution showing the effect of thermal radiation parameter R when χ = 6, M = 0.1, Br = 10, β = 0.2.

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Fig 7 Expand

Fig 8.

Velocity and temperature distribution showing the effect of Reynolds viscosity χ when R = 2, M = 0.1, Br = 10, β = 0.2.

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Fig 8 Expand

Fig 9.

Velocity and temperature distribution showing the effect of Brinkman number Br when χ = 6, M = 0.1, Br = 10, β = 0.2.

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Fig 9 Expand

Fig 10.

Velocity and temperature distribution showing the effect of viscoelastic parameter β when Ω = 6, R = 2, Br = 13, M = 0.1.

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Fig 10 Expand

Fig 11.

Velocity and temperature distribution showing the effect of magnetic parameter M when Ω = 6, R = 2, Br = 13, β = 0.2.

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Fig 11 Expand

Fig 12.

Velocity and temperature distribution showing the effect of thermal radiation parameter R when Ω = 6, M = 0.1, Br = 13, β = 0.2.

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Fig 12 Expand

Fig 13.

Velocity and temperature distribution showing the effect of Reynolds viscosity Ω when R = 2, M = 0.1, Br = 13, β = 0.2.

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Fig 13 Expand

Fig 14.

Velocity and temperature distribution showing the effect of Brinkman number Br when Ω = 6, M = 0.1, Br = 0.2, R = 2.

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Fig 14 Expand