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Prime aim of current study is to explore the comparative outcomes for mass and thermal transportation of various fluids models namely Newtonian, micropolar, Williamson and Maxwell due to extending surface. This exploration is concerned to the effect of double diffusion and applied magnetic field. The bioconvection may improve the settling of nanoparticles and the double diffusion effects are considered to be more realistic on the part of this work. The mixture of base fluids with nanoparticles and gyrotactic micro-organisms is homogenous. By the implementation of basic conservation laws, the governing partial differential equations are organized which are then reformed into corresponding ordinary differential equations. For the physical insight, Runga-Kutta method with shooting technique is utilized. The controlling parameters of buoyancy ratio, thermophoresis, magnetic field, Brownian movement, Lewis number and Prandtl number are varied in acceptable ranges to evaluate their impacts on temperature, momentum, concentration field and micro-organisms concentration. The notable outcomes indicated that micropolar fluid takes the highest value for velocity and then Newtonian fluid, Williamson fluid and Maxwell fluid in descending order. The results related to different three non-Newtonian nano-fluids with effective heat transfer can find applications in heat transfer processes such as heat exchanger. [ABSTRACT FROM AUTHOR]

The enhancement of thermal conductivity of base fluids is desirable with the inclusion of nano-entities and bioconvection of microorganisms. The influence of the multi-slips on magnetohydrodynamic bio-convection streamline of micropolar based nanofluid across a sponge medium owing to expanding sheet is investigated in this work. The mass transpiration and activation energy with Fourier-Fick diffusion is taken into account. The leading partial differential equations are transformed into ordinary differential equations by using similarity transformations. The graphs were created by using the RK-4th order method with the shooting technique. Nusselt number, Sherwood number, skin friction factor, and motile density function are enumerated and analyzed with the variance of influenced parameters. It is observed the magnitude of the skin friction factor is enhanced with higher inputs of magnetic field and porosity parameters. Also observed that fluid speed is higher for injection than that of suction. [ABSTRACT FROM AUTHOR]

This investigation, scrutinizes the effects of Stephen blowing on Prandtl nanofluids transportation caused by a stretch in the sheet. The fluid temperature, thermal conductivity due to dispersion of nanoparticles with enhanced is investigated. Cartesian coordinates are used for flow equations. The similarity variables for momentum, temperature and concentration profiles, are utilized to modify the perceptions of governing flow. Nonlinear ODEs are gained from the governing PDEs and cracked down numerically by shooting and Keller box approach. The graphical and numerical sections are viewing the results for the velocity temperature and concentration fields against the independent parameters and non-dimensional numbers. As the boosting the values of material parameters α and β move opposite on velocity profile f ′(η) but similar effects of Nt and Nb are observed on both temperature and concentration profiles. The skin friction − f ″(0)is profitable unhappy at the increase values of the Hartman number with the fluctuations in the value of Stephen blowing.(S = − 1, 0, 1). The conflicting behavior of Prandtl and Eckert numbers are detected on temperature profile. Physical explanation of the graphical segment is support to understand the performance of fluids flow. [ABSTRACT FROM AUTHOR]