Abstract
Time-dependent viscosity and thermal conductivity have been studied in relation to flow and thermal energy propagation along a vertical turning cone. Except the density variance, the other fluid’s properties are assumed to be constant. Using the similarities procedure, the nonlinear system of differential equations is simplified to dimensionless ODEs. The resultant nonlinear ODEs system is computed while using fractional code FDE12, and the findings are quantitatively examined using the bvp4c approach for accuracy and consistency. In form of figures and tables, the behavior of momentum, energy, and mass is interpreted versus the physical constraints. The axial and radial velocity, both declines with the variation of unsteadiness parameter
S
. The axial velocity of the fluid is considerably increased when the mixed convection parameter is elevated, but the radial velocity is reduced. Similarly, when the variable viscosity increases, the velocity profile develops.