Infinite Shear Rate Viscosity Model of Cross Fluid Flow Containing Nanoparticles and Motile Gyrotactic Microorganisms Over 3-D Cylinder

Author:

Darvesh Adil1,Altamirano Gilder Cieza2,Salas S Alvaro H.3,Sánchez Chero Manuel4,Carrión Barco Gilberto5,Bringas Salvador Jorge Luis6,Ayub Assad1

Affiliation:

1. Department of Mathematics, Hazara University, Mansehra, 21300, Pakistan

2. Universidad Nacional Autónoma de Chota, Cajamarca, 06120, Perú

3. Universidad Nacional de Colombia 110110, Perú

4. Universidad Nacional de Frontera, Piura, Sullana, 20100, Perú

5. Universidad Tecnológica del Perú, 14006, Perú

6. Universidad Alas Peruanas, 14006, Perú

Abstract

Cross nanofluidic model yields extraordinary results and describes the behaviour of nanofluid at very high and very low shear rate. In this paper infinite shear rate viscosity model of cross nanofluid flow containing nanoparticles and motile gyrotactic microorganisms over three dimensional horizontal cylinder is taken. In this attempt simultaneous utilization of nanoparticles along with motile microorganisms attached mathematical model of cross fluid and three-dimensional geometry of cylinder has been carried out as an innovation. For the inspection of velocity profile of cross nanofluid inclined magnetic field is scrutinized. Temperature of Cross nanofluid and its concentration is also carried out with several facts. Mass flux and heat flux values for motile microorganisms and nanoparticles are calculated through statistical graphs. This attempt reveals that small variation of Brownian motion parameter gives lower concentration of nanoparticle about 80.21% and 78.44% reduction is found in concentration of motile microorganisms.

Publisher

American Scientific Publishers

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering

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