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As part of the growing evolution in nanotechnology and thermal sciences, nanoparticles are considered as an alternative solution for the energy depletion due to their ultra-high thermal effectives. Nanofluids reflect inclusive and broad-spectrum significances in engineering, industrial and bio-engineering like power plants, energy source, air conditioning systems, surface coatings, evaporators, power consumptions, nano-medicine, cancer treatment, etc. The present study describes the bio-convective peristaltic flow of a third-grade nanofluid in a tapered asymmetric channel. Basic conservation laws of mass, momentum, energy, and concentration as well as the microorganism diffusion equation are utilized to model the problem. The simplified form of the modeled expressions is accounted with long wavelength assumptions. For solving the resulting coupled and nonlinear equations, a well-known numerical method implicit finite difference scheme has been utilized. The graphical results describe the velocity, temperature and concentration profiles, and the density of motile microorganisms at the nanoscale. Furthermore, microorganism concentration lines are analyzed., (© 2021. The Author(s), under exclusive licence to Springer Nature B.V.)

The contribution of nanoparticles is important to enhance energy resources and improve the efficiency of solar management systems. Owing to impressive thermal consequences, various applications of nanoparticles are observed in engineering processes, chemical and mechanical industries, thermal systems and many more. It is further emphasized that the decomposition of nanoparticles with non-Newtonian materials is more dynamic from an application point of view. The current research communicates the improvement in thermal transportation phenomenon due to interaction of nanoparticles along with decomposing of third-grade base fluid. The nanofluid is immersed with microorganism to justify the applications of bioconvection. The thermal observations are carried out with the existence of some extra thermal consequences like activation energy and radiative phenomenon with nonlinear approach. The modified relations of Fourier and Fick theories have been used to entertain the thermal results. The confined flow is due to the accelerated regime with stretching characteristics. The dynamical system is formulated with the attention of partial differential equations. The physical impact of parameters is addressed for specific range of parameters like 0. 3 ≤ M ≤ 0. 9 , 0. 2 ≤ α ≤ 0. 8 , 0. 1 ≤ Pr ≤ 1. 0 , 0. 3 ≤ Rb ≤ 0. 9 , 0. 2 ≤ δ T ≤ 1. 0 , 0. 2 ≤ Rd ≤ 1. 0 , 0. 2 ≤ Nr ≤ 1. 0 , 0. 2 ≤ Nb ≤ 1. 0 , 0. 3 ≤ β ≤ 1. 0 , 0. 2 ≤ S ≤ 0. 6 , 0. 2 ≤ Nt ≤ 1. 0 , 0. 2 ≤ θ w ≤ 0. 6. The analytical outcomes are listed via homotopy analysis scheme. The role of parameters fluctuating in the various profiles is graphically observed. The results conveyed via the current model are effective in enhancing the thermal processes, solar systems, heat transfer, control of cooling and heating phenomenon, biofuels, fertilizers, etc. [ABSTRACT FROM AUTHOR]

A numerical analysis is performed to analyze the bioconvective double diffusive micropolar non-Newtonian nanofluid flow caused by stationary porous disks. The consequences of the current flow problem are further extended by incorporating the Brownian and thermophoresis aspects. The energy and mass species equations are developed by utilizing the Cattaneo and Christov model of heat-mass fluxes. The flow equations are converted into an ordinary differential model by employing the appropriate variables. The numerical solution is reported by using the MATLAB builtin bvp4c method. The consequences of engineering parameters on the flow velocity, the concentration, the microorganisms, and the temperature profiles are evaluated graphically. The numerical data for fascinating physical quantities, namely, the motile density number, the local Sherwood number, and the local Nusselt number, are calculated and executed against various parametric values. The microrotation magnitude reduces for increasing magnetic parameters. The intensity of the applied magnetic field may be utilized to reduce the angular rotation which occurs in the lubrication processes, especially in the suspension of flows. On the account of industrial applications, the constituted output can be useful to enhance the energy transport efficacy and microbial fuel cells. [ABSTRACT FROM AUTHOR]

The aim of current attempt is to visualize the flow of ('modified') second-grade nanofluid with heat, motile microorganisms and mass transfer rates over stretching surface. The modified second grade fluid is utilized to analyze the rheological behavior. The energy equation is modified with presence of heat absorption and generation effects. In order to stabilize the suspension of nanoparticles, the concept of microorganisms has been introduced. Further present flow analysis is performed with Nield boundary conditions. The formulated equations are first reduced in to dimensionless form by using similarity variables. The approximate solution of these locally similar nonlinear ordinary differential equations is calculated by using shooting method through computational software MATLAB. The calculated results are carefully compared with earlier studies and found an excellent agreement. The ascendancy of interesting parameters like generalized second-grade parameter Brownian motion, thermophoresis effects, Peclet number are examined for multiple values of power law index. It is found that velocity profile declined effectively by buoyancy ratio parameter and bioconvection Rayleigh number. The temperature and concentration profiles enhanced with thermophoretic parameter. It is further observed that motile microorganism profile depressed with Brownian movement parameter and Prandtl number. A prominent demising temperature profile has been noted for shear thickening case as compared to shear thinning. • Modified second-grade nanofluid with motile microorganisms is studied. • Present flow analysis is performed with Nield boundary conditions. • The flow is considered over a stretching surface in two-dimensional channel. • MATLAB software is used to execute the numerical shooting algorithm. • A numerical comparison is also presented for the governing parameters. [ABSTRACT FROM AUTHOR]