Influence of variable thermal conductivity on Darcy Forchhimer flow of Walter-B-hybrid nanofluid flow with elastic deformation

Thermal conductivity is the potential of a material to transfer heat. The several empirical and theoretical discoveries have suggested a strong connection among temperature change and thermal conductivity. Thermal conductivity is fundamental to the structural barriers insulation and energy efficiency. The impact of variable thermal conductivity and thermopherotic deposition effect in Walter-B${\mathrm{B}}$-hybrid nanofluid flow over a cone with elastic deformation and mixed convection has been modeled mathematically in this article. Similarity transformations are applied to obtain nondimensional differential equations from the governing differential equations. The homotopy analysis technique is used to solve transformed equations that govern. The behavior of variable thermal conductivity, elastic deformation, and thermopherotic effect on velocity component, temperature profile, and hybrid nanoparticles concentration profile are analyzed for various dimensionless parameters. For increasing values of thermal conductivity, the velocity components such as (axial, radial, tangential) show decreasing behavior, and reverse behavior is observed for viscoelastic parameter. The Temperature profile decreases when Eckert and Prandtl numbers are enhanced, while showing increasing behavior for the volume fraction parameter and Darcy number. The concentration profile displays diminishing behavior for rising values of the Schmidt number and thermopherotic parameter.