Abstract
This paper discusses the three-dimensional flow of Maxwell nanofluid containing gyrotactic micro-organisms over a stretching surface. The effects of magnetic field and heat source/sink are also considered. Theory of microorganisms is utilized to stabilize the suspended nanoparticles through bioconvection induced by the effects of buoyancy forces. HAM (homotopy analysis method) is used to acquire analytic solution for the governing nonlinear equations. The effects of Deborah number, Hartmann number, mixed convection parameter, buoyancy ratio parameter, bioconvection Rayeigh number, stretching ratio parameter, brownian diffusion and thermophoresis diffusion parameters, Prandtl number, Lewis number, micro-organisms concentration difference parameter, bioconvection Peclet number and the bioconvection Lewis number on velocity, temperature, density of motile microorganisms and nanoparticle concentration are discussed graphically. The local Nusselt, Sherwood and motile micro-organisms numbers are also analyzed graphically. The reduction of the boundary layer thickness and velocity due to magnetic field is noted. The heat source/sink parameter have opposite effects on the temperature profile. We found that In comparison to the case of heat sink the thermal boundary layer thickness and temperature increases in the case of heat source.
Highlights
In recent years the study of non-Newtonian fluids has importance due to many applications in engineering, industry and biological sciences e.g. in material processing and in the food and cosmetic industries.[1]
We have considered the steady, incompressible three-dimensional flow of Maxwell nanofluid containing gyrotactic micro-organisms past a bidirectional stretching surface
This section explores the results of three-dimensional flow of Maxwell nanofluid on a stretching sheet containing gyrotactic micro-organisms in the presence of magnetic field and heat source/sink effects
Summary
In recent years the study of non-Newtonian fluids has importance due to many applications in engineering, industry and biological sciences e.g. in material processing and in the food and cosmetic industries.[1]. Buongiorno[24] extended the concept by considering Brownian motion and thermophoresis movement of nanoparticles in view of application in hybrid power engine, thermal management, heat exchanger, domestic refrigerators etc They have enhanced heat conduction power as compared to base fluids and are useful in cancer therapy and medicine. Different types of micro-organisms, theoretical bio-convection models have been studied.[40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56] In this paper we will consider the three-dimensional bioconvection flow of Maxwell nanofluid over a bi-directional stretching surface. The effects of involved physical parameters on the flow field have been analyzed with the help of graphs
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