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Figure 1.

Sketch of the problem and coordinate system.

Here is the variable magnetic field, is the constant wall temperature, is the nanoparticle wall concentration, is the gravitational acceleration and and are the ambient temperature and nanoparticle concentration respectively.

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Table 1.

Comparison of current results with Kuznetsov and Nield [13] with in the absence of and .

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Table 2.

Variation of Nusselt number () and Sherwood number () when and .

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Table 3.

Variation of Nusselt number () and Sherwood number () when and .

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Figure 2.

Influence of magnetic field on the vertical component of velocity with the variation in radiation parameter.

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Figure 3.

Influence of buoyancy force on the vertical component of velocity with the variation in Prandtl number.

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Figure 4.

Influence of buoyancy force on the wall shear stress with the variation in magnetic field strength.

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Figure 5.

Influence of magnetic field on the temperature distribution with varying viscous dissipation effect.

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Figure 6.

Combined influence of Brownian motion and thermophoretic diffusion on temperature distribution with the variation in thermal radiation effect.

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Figure 7.

Influence of temperature ratio parameter on temperature profiles and a comparison between linear and nonlinear radiation heat transfer.

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Figure 8.

Effects of thermal radiation on the temperature distribution through both linear and non-linear radiative heat fluxes when .

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Figure 9.

Effects of thermal radiation on the temperature distribution through both linear and non-linear radiative heat fluxes when .

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Figure 10.

Influence of thermophoretic diffusion on nanoparticle concentration with the variation in Brownain motion.

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Figure 11.

Influence of Lewis number on the nanoparticle concentration with the variation in thermal radiation effect.

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Figure 12.

Influence of Brownian motion and thermophoretic diffusion on wall heat transfer rate .

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Figure 13.

Influence of temperature ratio parameter on wall heat transfer rate with the variation in radiation parameter.

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Figure 14.

Influences of Brownian motion and thermophoresis on nanoparticle wall mass flux with the variation in Lewis number.

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