Abstract

The entrained flow and heat transfer in Newtonian fluid along the thermally and electrically conducting cone embedded in porous medium by encountering the variable surface temperature is carried out. The proposed process is time dependent that is the source of oscillation in all considered variables. The primary phenomenon is given a mathematical form in partial differential equations which are non-linear and coupled. By means of dimensionless formulation, the resulting set of constitutive equations is reduced to non-dimensional form. A suitable formulation that produces the smoothness in algorithm is utilized for the transformation of dimensionless form of equations to smooth ones. The pertinent material properties of interest such as velocity, temperature and magnetic profiles along with their derivatives are portrayed in graphical way under the impact of pertinent parameters. The main finding about the current communication is that for elevating the variable surface temperature parameter ζ, the main stream velocity and temperature field get declined and opposite attitude is noted in magnetic profile. Furthermore, maximum value for velocity and temperature are secured at ζ=0.1 and ζ=8.0 respectively but reverse scenario is seen in magnetic profile.

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