Abstract
Rheological model characterized by the shear rate dependent viscosity together with the governing laws for dust particles in fluid with the transfer of heat with the help of nano-structures are utilized for thermal analysis. Solutions of the non-dimensionalized set of constitutive models and necessary conservation laws are found by the finite element method (FEM). The simulations are recorded and important outcomes are extracted from visualization. The fluid has experienced significant retardation to its flow and wall friction on the solid boundary has depicted an increasing behavior as a function of the magnetic field. The flow slows down when viscosity varies for the shear-thinning case. The movement of dust particles in shear rate-dependent viscosity fluid increases as a function of the fluid velocity interaction parameter. Temperature profiles have been noted to increase as a function of specific heat ratio parameter. It is also observed that the temperature of dust particles in mono nanofluid is greater than the temperature of dust particles in a hybrid nanofluid. An increase in the intensity of magnetic fluid results in significant retardation to the fluid containing dust particles. However, this retardation to the flow of hybrid nanofluid is higher than the retardation experienced by the flow of mono nanofluid. Velocity of dust particles increases versus interaction parameter. Moreover, the velocity of hybrid nanofluid is affected more by the interaction parameter than the velocity of nanofluid. Thermal radiations result in a temperature rise. However, radiations emitted by the hybrid nanofluid are stronger than the radiations emitted by a nanofluid. Dust particles in nanofluid are hotter than in hybrid nanofluid. Shear stress on the solid surface increases as a function of the fluid velocity interaction parameter. Further shear stress applied by nanofluid is higher than that by the hybrid nanofluid.