4.7 Article

Role of hybrid nanostructures and dust particles on transport of heat energy in micropolar fluid with memory effects

Journal

JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY
Volume 147, Issue 1, Pages 435-448

Publisher

SPRINGER
DOI: 10.1007/s10973-020-10284-y

Keywords

Viscoelasticity; Micro-inertia; Dusty fluid; Memory effects; Mixed convection; Angular momentum

Funding

  1. Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia [R.G.P-2/69/41]

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This paper uses constitutive models with viscoelastic and micro-inertia properties, as well as vortex viscosity effects to model heat energy and dust flow. The governing models are solved using the finite element method, with guaranteed convergence and mesh-free results. Micro-rotations have a significant impact on shear stress and wall heat flux. The relaxation time for momentum shows a decrease in velocity for macro-flow. Increasing vortex viscosity increases angular motion. The Deborah number shows a decreasing trend on flow, leading to a decrease in convective heat transport. The temperature of dust particles increases with an increase in the ratio of specific heat and fluid particle interaction parameter for temperature. However, the opposite behavior is observed when increasing the relaxation time of the particle phase. The hybrid nanofluid transports more momentum than mono-nanofluid.
Constitutive models exhibiting viscoelastic and micro-inertia with vortex viscosity effects are used for modeling of transport of heat energy, (angular and linear) with conservation laws for dust phase flow. The governing models are solved via the finite element method. The convergence of numerical solutions is guaranteed and mesh-free results are computed in view of a variation of physical parameters. Micro-rotations have shown a remarkable impact on shear stress and wall heat flux. The momentum relaxation (memory effects) time has shown a remarkable decrease in velocity associated with macro-flow. An increase in vortex viscosity increases angular motion. The Deborah number has shown a decreasing trend on flow. This causes a significant decrease in convective transport of heat energy. The temperature of dust particles increases when the ratio of specific heat and fluid particle interaction parameter for temperature is increased. However, the opposite behavior is noted for the case of increasing the relaxation time of the particle phase. The hybrid nanofluid transports much momentum than the momentum transported by mono-nanofluid.

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