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Nanofluid thermophysical characteristics are critical for predicting heat transfer behavior. This attempt provides a computational assessment of boundary layer flow and heat transfer behavior of fractional Maxwell viscoelastic nanofluid and their hybrids over a permeable vertical surface. The effects of Lorents and buoyancy forces are also considered in the flow region. The flow problem is modeled with novel distributed order time fractional derivatives to achieve control of the flow and heat transfer. Mid-point quadrature approach is used to process the distributed order integrals, whereas nonlinear coupled time fractional derivatives are discretized through the finite difference method along withL1- algorithm. The results shows that heat transfer rate enhanced 56.51% by enhancing the thermal Grashof number. Further, increase in nanoparticles volume fraction causes enhancement in thermal conductivity. More effects of the flow characteristic on velocity and temperature fields are shown graphically and analyzed in detail. The involvement of novel distributed fractional order derivatives, and nanoparticles enhanced the importance of the simulated results, which can be helpful to effectively control related thermal engineering issues, like temperature management in internal combustion engines, cooling devices, and heat exchangers.

The present study discloses entropy analysis in flow of hybrid nanofluid under the influences of magnetohydrodynamics, variable viscosity and mixed convection. Melting heat, heat generation and radiation effects have been implemented for the second law of thermodynamics analysis. Homogeneous reaction of cubic auto-catalyst and first order heterogenous reaction regulate the concentration. Graphene oxide (GO) and molybdenum-disulphide(MoS2) are dealt as nanomaterials and water as a continuous phase liquid. Second law of thermodynamics is utilized for the formulation of entropy optimization rate. Bejan number has examined for the irreversibility process due to heat and mass transfers. Variations in entropy rate and Bejan number have been studied under the influences of sundry variables. Furthermore, comparative analysis of nanoliquid and hybrid nanoliquid has been examined for the entropy generation and Bejan number. Cylindrical coordinate system is taken for the problem formulation. Bvp4c maltab solver is used to deal with the obtained boundary layer problems. The findings of this study reveal that entropy rate and Bejan number in hybrid nanoliquid flow are noted maximum than the normal nanoliquid. The irreversibility due to heat transfer and entropy generation can be controlled by melting variable and temperature dependent viscosity variable.