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Study on Thermal Transport and Flow Characterization of TiO2-SiO2 Mixture Slippery Nanoflow Under Energy Generation: Keller Box Simulation


Affiliations
1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India
2 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632 014, India

An impactful rheological fluid model (Casson) has taken for study. The influence of nanoparticles mixture suspended in water based slippery radiative nanoflow around a porous cylinder has investigated in the presence of non-uniform energy generation or absorption. A suitable Casson rheological mathematical model has been developed as set of partial differential equations and transformed to system of ordinary differential equation under self-similarity transformations. Then, the final system has cracked numerically employing Keller box method, coded with MATLAB. The numerical solutions for Nusselt number, surface friction coefficient, momentum and energy profiles have portrayed and tabulated. Streamlines have drawn for analysing the amount of energy flow characterisation. A three-way comparison has done based on number of nanoparticles added to the base flow. The study has revealed that among three different models of nanoflow (simple nanoflow, hybrid nanoflow, ternary nanoflow), hybrid nanoflow has shown the best heat transmission rate and momentum flow rate. In hybrid nanofluids, an increasing heat transfer rate and surface friction coefficient has noticed for enhancing energy generation parameter. Presence of nano-silica particles have enhanced the high reflectivity of radiation. The oxide nanoclusters and their composite synthesis helps in hydrophobic applications such as in powdering and coating processes. Titania and Silica combination has a superiority in removing heat outside from the surface and this quality has a very good application in cosmetics especially in the sunscreen lotions.

Keywords

Ternary hybrid nanofluid, Casson model, Keller–Box numerical method, Heat Transfer, Non-uniform heat production, Magnetic Field
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  • Study on Thermal Transport and Flow Characterization of TiO2-SiO2 Mixture Slippery Nanoflow Under Energy Generation: Keller Box Simulation

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Authors

Vinothkumar B
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, Tamil Nadu, India
Poornima Tamalapakula
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632 014, India

Abstract


An impactful rheological fluid model (Casson) has taken for study. The influence of nanoparticles mixture suspended in water based slippery radiative nanoflow around a porous cylinder has investigated in the presence of non-uniform energy generation or absorption. A suitable Casson rheological mathematical model has been developed as set of partial differential equations and transformed to system of ordinary differential equation under self-similarity transformations. Then, the final system has cracked numerically employing Keller box method, coded with MATLAB. The numerical solutions for Nusselt number, surface friction coefficient, momentum and energy profiles have portrayed and tabulated. Streamlines have drawn for analysing the amount of energy flow characterisation. A three-way comparison has done based on number of nanoparticles added to the base flow. The study has revealed that among three different models of nanoflow (simple nanoflow, hybrid nanoflow, ternary nanoflow), hybrid nanoflow has shown the best heat transmission rate and momentum flow rate. In hybrid nanofluids, an increasing heat transfer rate and surface friction coefficient has noticed for enhancing energy generation parameter. Presence of nano-silica particles have enhanced the high reflectivity of radiation. The oxide nanoclusters and their composite synthesis helps in hydrophobic applications such as in powdering and coating processes. Titania and Silica combination has a superiority in removing heat outside from the surface and this quality has a very good application in cosmetics especially in the sunscreen lotions.

Keywords


Ternary hybrid nanofluid, Casson model, Keller–Box numerical method, Heat Transfer, Non-uniform heat production, Magnetic Field