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The entropy generation phenomenon is important in thermodynamic systems, chemical engineering, industrial systems, reducing the energy consumptions and optimizing the resource utilization. Owing to such motivated applications, aim of current research is to present the applications entropy generation phenomenon in double diffusion flow Carreau-Yasuda nanofluid due to bidirectional stretched surface. The rheology of non-Newtonian fluid is observed by using the Carreau-Yasuda (CY) nonlinear model. The analysis is further supported with suspension of microorganisms with Carreau-Yasuda nanofluid. The formulated model is extended by entertaining the viscous dissipation, thermal radiation and activation energy consequences. The inertial effects are supported with Darcy Forchheimer approach. Additionally, non-Fourier and Fick theories are implanted to observe the thermal phenomenon. The equations resulted from the given model are analytically entertained via homotopy analysis scheme. The physical insight of thermal model is graphically presented. Moreover, the streamlines are plotted for flow model. An enhancing outcomes for entropy generation phenomenon are noted due to diffusion parameter and magnetic parameter. Moreover, the optimized phenomenon also increases due to Brinkman number.

Owing to the admirable thermal features of nanofluids, different applications of nanomaterials are reported in thermal engineering, solar systems, industrial processes, cooling processes etc. The aim of this research is to communicates the thermal impact of cross nanofluid with applications of bioconvection phenomenon. The additional thermal impact of radiated phenomenon, activation energy and viscous dissipation is endorsed. The stretching cylinder induced the flow. The interaction of new variables presents the dimensionless form of the problem. The numerical simulations are performed with implementation of finite difference method by using bvp4c code. The graphical framework for flow parameters is evaluated. It is observed that velocity profile increase for curvature index and curvature parameter. The velocity profile reduces with interaction of first order slip parameter. The enhanced thermal impact of heat transfer due to Biot number is noticed.

This research communicates the thermal assessment of Sutterby nanofluid containing the gyrotactic microorganisms with solutal and Marangoni boundaries. The applications of melting phenomenon and thermal conductivity are also considered. The flow is confined by a stretched cylinder. The prospective of Brownian motion and thermophoresis diffusions are also taken account via Buongiorno nanofluid model. The problem is formulated with help of governing relations and equations which are altered into dimensionless form via appropriate variables. The numerical scheme based on shooting scheme is employed to access the solution. A comparative analysis is performed to verify the approximated solution. The observations reveal that the velocity profile enhanced with the Marangoni number while a declining velocity profile has been observed with Sutterby nanofluid parameter and Darcy resistance parameter. The nanofluid temperature get rise with thermal conductivity parameter and thermal Biot number. An arising profile of nanofluid concentration is observed for concentration conductivity parameter and buoyancy ratio parameter.

Owing to the magnified thermal performances of nanoparticles and essential applications in various industrial and engineering processes like heat exchangers, cooling systems, boilers, MEMS, chemical engineering, laser diode arrays and cool automobile engines, variety of research is presented in this topic. On this end, current investigation deals with the unsteady flow of Williamson nanofluid containing the gyrotactic microorganisms over a rotating cylinder. The additional features like activation energy, chemical reaction and variable thermal conductivity are also composed in the current flow problem. The whole flow model is subjected to the second order slip from which results two slip parameters that effectively control the associated boundary layers. The formulated problem is based on the utilization of governing equations which are converted into dimensionless form with help of appropriate transformation. The self similar solution of constituted equations is followed by using shooting technique. The obtained results are confirmed by comparing already reported investigations with convincible agreement. The graphical analysis for involved parameters is comprehensively presented for both circular cylinder and flat plat as a liming case. The physical aspects of each flow parameter are discussed. The numerical illustration for local Nusselt number, local Sherwood number and motile density number are also presented in tabular form. The results show that temperature ratio parameter and slip constant increase the nanofluid temperature which is more prominent in case of circular cylinder. The concentration and microorganism distributions enhances with unsteady parameter. Moreover, a declining microorganism distribution is observed with mixed convection parameter, Peclet number and bioconvection Lewis number.

The research communicates the melting applications of viscoelastic nanoparticles with microorganisms due to wedge-shaped configuration. The important features of activation energy, thermophoresis diffusion characteristics and Brownian motion are also highlighted. The analysis is performed in view of Melting process. The flow process is represented mathematically using partial differential equations. For the optimization technique using MATLAB computer-based tools, the Labotto IIIa formulation has utilized. In the velocity equation, the temperature profile, concentration profile and microorganisms' profile, the reporting of the main parameters are fully defined and discussed through figures. The speed can be enhanced by means of a mixed convection appearance is determined. Furthermore, nanoparticles are decreasing in temperature and concentration profiles and the high number of Peclet decreases the profile of microorganisms. This article's research includes a wide range of applications in nanotechnology, electrical and biomedical, biotechnology, medication delivery, chemotherapy, food processing, and other sectors. The claimed results reflect that increasing change in velocity is associated to the higher values of second grade fluid parameter and Marangoni ratio constant. The increase in wedge constant enhanced the velocity. Moreover, the concentration profile and microorganism field reduces with increasing Marangoni ratio constant.

Recently, the thermal prospective of nanofluids has been studied extensively by researchers due to motivating thermal applications of such nano-materials. The most fascinating applications associated to the nano-materials included the heat transfer enhancement, solar applications, energy resources, extrusion systems, medical and bio-medical applications, cooling and heating of many devices etc. The collective transport nanoparticles with microorganisms ensure the stability and nanofluids and improve the thermal efficiencies. This research presents the novel applications of induced magnetic force impact on the bio-convective transport of non-Newtonian nanoparticles when the thermal radiation and activation energy consequences become more dominant. The nonlinear thermal relations have been introduced to improve the thermal process. The Maxwell nanofluid model is selected to improve the thermal transportation phenomenon. The consideration of microorganisms is effective to ensure the stability of nano-materials. The stretched surface induced the flow with assumptions of stagnation point. The model is presented in terms of coupled and nonlinear equations which are solved with aim of shooting algorithm. The physical outcomes are carefully observed and presented via graphs and tables. A decrement change in velocity is observed due to velocity ratio parameter. The nanofluid temperature improved with increasing and velocity ratio parameter and Biot constant. Moreover, the presence of reciprocal magnetic Prandtl number increases the nanofluid temperature, concentration and microorganisms profiles.

Recently, nanofluids are an effective source of enhancing the thermal transportation systems associated with industrial and engineering phenomena. With the nanoscale size and effective thermal properties, the nanomaterials convey exclusive beneficial applications in heat exchanges, coolant processes, medical treatment, electronic cooling systems, energy production, etc. Keeping all such motivating significances of nanoparticles in mind, this research presents the thermal aspects of Oldroyd-B nanofluid with applications of bioconvection phenomenon over a convectively heated configuration when the slip effects are more dominant. The bio-convective nanofluid model is further extended by incorporating the thermal radiation relations in nonlinear form and activation energy. The modifications in heat and mass equations are suggested in view of modified Cattaneo-Christov theories. The magnetic force and porous medium applications are also entertained. The convective conditions are imposed on accessing the flow dynamically. The numerical simulations via shooting technique by using MATLAB software are performed with convincing solution accuracy. The physical objective in view of all parameters that govern the flow model is presented in graphs and tables. The obtained theoretical results reflects applications in thermal extrusion processes, power plants, enhancing the heat/mass process, information technology, chemical processes, pharmacological processes, cooling and heating systems, solar energy production, bio-technolgy applications like enzymes, biofules etc.