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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.

The thermal mechanism of nanofluids due to advanced features is the most interesting research area owing to the applications in heat transmit devices, cooling procedure, energy production, etc. The nanofluids with motile microorganisms signify their importance in bio-medical engineering and biotechnology. This research communicates the accessed dynamic feature of Reiner–Philippoff nanofluid with applications of the bioconvection phenomenon. The magnetic force impact and activation energy features are also intended to perform the radiative analysis of Reiner–Philippoff nanomaterial. The slip features higher-order relations are incorporated to analyze the flow. The modifications in the energy equation are suggested by using thermal radiation with nonlinear relationship. The flow equations, which in turn to non-dimensionless form, are numerically tackled with a shooting scheme. A comprehensive thermal analysis for the endorsed parameters is presented. The numerical data is achieved to examine the fluctuation in heat, mass, and motile density function. The simulated results show that the velocity profile improves with Philippoff fluid parameter while a declining change is noticed for the slip parameter. With increase of Philippoff fluid parameter, both temperature and concentration profile declined. The consideration of higher order slip is more effective for increasing the 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.