Analysis regarding nanofluid is proved to be effective in the enhancement of heat transport features. Thus, the heat transfer problems involving nanofluid has gained much significance in biomedical procedures, such as drug targeting system, treatment of cancer, biotherapy, blood diagnostic and coagulation systems, and many others. Keeping this usefulness in mind, the current attempt is presented to analyze the features of viscous dissipation in hydromagnetic nanofluid flow through stretchable surface. Thermophoresis and Brownian diffusion phenomena are implemented to demonstrate the transportation of nanoparticles. Modified diffusive theory is accounted to address the transportation of heat and mass. Suitable transformations are used to get system of dimensionless governing equations. Approximate solutions are constructed by homotopic technique. Graphical behaviors of velocity, temperature, and particles concentration are described through different parameters. Skin friction is also studied explicitly. It is found that some extra effects of Brownian and thermophoresis diffusions are appeared by implementing modified theory of fluxes. Non-dimensional thermal relaxation time parameter causes reduction in temperature distribution while decrement concentration field is observed for higher non-dimensional solutal relaxation time parameter.

In the recent era, the nanofluid's transportation due to the Jeffrey–Hemal flow phenomenon (i.e., carrying fluid through a converging/diverging channel) has significant applications in numerous engineering and science technologies. Therefore, multi-disciplinary evolution and research motivated us to present current attempt. The aim of this attempt is to present Jeffrey–Hamel mechanism of the nanofluid through non-parallel channel under thermally balance non-Darcy permeable medium impacts. The nanomaterial is represented using the Buongiorno nanofluid model. The investigation also includes zero mass flux impacts as well as variable rheological fluid properties. The influences of temperature jump are also encountered in the current analysis. The governing flow expressions under the Jeffrey–Hemal analysis are made dimensionless utilizing the similarity variables. The dimensionless equations are then solved using the analytical scheme (homotopy method) and the obtained series solutions are convergent. The influences of the involved parameters on concerned profiles are investigated through graphs. Force of drag, Nusselt and Sherwood numbers are elaborated graphically. In this analysis, intensification in Prandtl number enhances the heat transfer rate whereas decrement is seen in heat transfer rate for larger thermal slip parameter. Further, mass diffusivity parameter adversely affects the mass transfer rate. The current analysis incorporates numerous industrial and technological processes including transportation, material synthesis, microfluidics, high-power Xrays, biomedical, solid-state lighting, microelectronics, scientific measurement, medicine, molten polymers extrusion via converging dies, cold drawing operation related to polymer industry etc.

The stratification phenomena have great importance in fishery management, insufficiency of dissolved oxygen in the lower parts of lakes, rivers and ponds, and phytoplankton populations. Thus the present article examines vital role of stratification phenomena in Powell-Eyring fluid flow due to inclined sheet which is stretched in a linear way. Collaboration of Cattaneo-Christov heat and mass flux model instead of Fourier Law of heat conduction is also accounted. Interpretation of heat transport is carried out with heat generation/absorption. Thermal stratification supports heat transport. Chemical reaction and solutal stratification also helped out mass transport. Non-linear governing equations with partial derivatives are converted into ordinary differential equation with the help of similarity transformations. Homotopic method is applied to solve arising dimensionless governing equations. Pertinent parameters and their physical behavior are displayed graphically. Drag force coefficient is also examined graphically. In culmination, substantial parameters of radiation and heat generation/absorption raised the temperature field while thermal relaxation time and solutal relaxation time parameters lower the temperature and concentration fields, respectively.