Darcy-Forchheimer Flow of Oldroyd-B Nanofluid Over an Inclined Plate with Exothermic Chemical Reactions and Bayesian Neural Network Modelling

This study investigates the steady, laminar motion of a non-Newtonian Oldroyd-B nanofluid over an inclined plate, integrating Buongiorno’s nanofluid model to account for Brownian motion and thermophoresis. The novel integration of couple stress and Forchheimer inertia in the analysis, coupled with advanced Bayesian-regularized ANN modelling, distinguishes this work. Governing equations are transformed using similarity variables and solved numerically via MATLAB’s bvp4c solver. The effects of couple stress, relaxation time, Forchheimer number, thermal radiation, thermophoresis, Brownian motion, and activation energy on velocity, temperature, and concentration profiles are systematically analyzed. Results reveal that couple stress and relaxation time reduce velocity, while thermal radiation and thermophoresis elevate temperature. Brownian motion decreases concentration, and activation energy influences both temperature and concentration oppositely. Multiple linear regression models quantify relationships between friction factor, Nusselt, and Sherwood numbers and key parameters, while a Bayesian-regularized artificial neural network (ANN) demonstrates high predictive accuracy (R-values ~1). It is noticed that increasing the couple stress parameter from 0.1 to 2.5 reduces friction factor by 59.8%, increasing the thermophoresis parameter from 0.1 to 2.5 decreases the Nusselt number by 7.8%, reflecting reduced heat transfer, and increasing the Brownian motion parameter from 0.1 to 2.5 reduces the mass transmission rate by 2.6%

Entropy Generation Optimization in a Ree-Eyring Ternary Hybrid Nanofluid Flow Over an Elastic Surface with Non-Fourier Heat Flux

The significance of Ree-Eyring ternary hybrid nanofluid flow lies in its potential applications in various fields. By incorporating three different types of nanoparticles into a base fluid using the Ree-Eyring model, this innovative fluid offers enhanced thermal conductivity, heat transfer efficiency, and rheological properties. These characteristics are particularly valuable in industries such as electronics cooling, solar energy systems, and heat exchangers, where efficient heat management is crucial. Additionally, the unique rheological behavior of Ree-Eyring nanofluids can provide advantages in processes like drilling, lubrication, and drug delivery. Under Thompson-Troian boundary conditions, this study aims to theoretically analyse 2D radiative flow of the Ree-Eyring ternary hybrid nanofluid over an angled sheet with Cattaneo-Christov heat flux and higher order chemical reaction parameters. In order to express them as ordinary differential equations (ODEs), flow-driven equations undergo suitable similarity transformations. The ensuing system is resolved by employing a bvp4c approach. The main takeaway from this study is that the thermal relaxation parameter reduces the width of the temperature profile and the fluid velocity is minimized by adjusting the slip parameter. The concentration profile is minimized by the chemical reaction parameter and the Ree-Eyring fluid parameter increases with the same (fluid velocity). In addition, we found that the skin friction coefficient is strongly correlated negatively with the Ree-Eyring fluid parameter, positively with the (thermal) relaxation parameter, and significantly correlated positively with the chemical reaction through the Nusselt number. When Brinkman number increases, Bejan number drops. Furthermore, a rise in thermal radiation parameter leads to the escalation in both entropy generation and Bejan number. We observed a worthy agreement when we checked the outcomes of this investigation with prior effects

Numerical simulation for Arrhenius activation energy on the nanofluid dissipative flow by a curved stretching sheet

In this paper, we have analysed a binary chemical nanofluid dissipative flow (in two cases i.e., 50% EG $$+$$ 50% water/silica and 50% EG $$+$$ 50% water/graphene oxide) due to a curved stretching sheet with activation energy. Appropriate transformations yield the nonlinear ordinary differential system. Shooting procedure (R-K 4th order based) is executed to solve the resultant equations. Graphical illustrations thoroughly demonstrate the features of the involved pertinent parameters. We have deliberated the behaviour of the alike parameters on the rate of transfers (heat and mass) and surface drag force (skin friction coefficient) by means of tables. This investigation reveals that (a) reaction rate parameter and temperature difference parameter are helpful to ameliorate the mass transfer rate (b) concentration enhances for higher estimation of activation energy variable (c) increasing the volume fraction of nanoparticles reflects an escalation in temperature (d) heat transfer rate enhancement is recognized for the influence of heat transfer Biot number. At the end this study, we came to know that the EG-Water $$+$$ Graphene Oxide mixture has more heat transfer rate compared to EG-Water $$+$$ Silica mixture. This outcome helps to conclude that, whenever the more heat transport required in manufacturing and industries, we can take the EG-Water $$+$$ Graphene Oxide mixture

Significance of Magnetic Field on Carreau Dissipative Flow Over a Curved Porous Surface with Activation Energy

This paper theoretically clarifies the impact of pertinent parameters, including viscous dissipation on the flow of Carreau fluid through a permeable arched elongating sheet. Flow describing equations are metamorphosed as ODEs and executed using the combination of shooting and Runge-Kutta strategies. Consequences are elucidated using tables and graphs. We discovered that (a) an appreciable decline in the concentration against temperature difference and reaction rate parameters (b) curvature parameter and porosity parameters registered opposite behaviour to each other on velocity profile (c) there is a reduction in the heat transfer rate with larger Eckert number and curvature parameters (d) Biot number ameliorates the temperature and local Nusselt number (e) Schmidt number and activation energy parameters are showing different behaviours on local Sherwood number. And also, magnetic field and porosity parameters minimize the velocity and surface drag force and Biot number ameliorates the temperature. Further, present results are validated with the earlier outcomes and perceived an acceptable agreement.</jats:p

Thermal Effects in Power-Law Fluid Film Lubrication of Rolling/Sliding Line Contact

Hydrodynamic lubrication of heavily loaded rigid system of non-symmetric roller bearings is studied to investigate the thermal effects in the operating behavior of line contact under isothermal and adiabatic boundaries. The incompressible power law lubricant is here considered and its consistency is taken to change with hydrodynamic pressure and the corresponding mean lubricant temperature. The flow controlling equations such as momentum, continuity and thermal energy are solved numerically using R-K Fehlberg method. The results obtained particularly, pressure, mean temperature, load and traction profiles are in good agreement with the previous findings.</jats:p

Significance of adding titanium dioxide nanoparticles to an existing distilled water conveying aluminum oxide and zinc oxide nanoparticles: Scrutinization of chemical reactive ternary-hybrid nanofluid due to bioconvection on a convectively heated surface

Abstract With the emphasis on the properties of titanium dioxide nanoparticles and numerous applications of chemical reactive distilled water due to bioconvection in the industries, nothing is known about the significance of adding titanium dioxide nanoparticles to an existing distilled water conveying aluminum oxide and zinc oxide nanoparticles when viscous dissipation, heat source, and higher buoyancy forces and thermal radiation are substantial. The governing partial differential equations that model the motion of both transport phenomena mentioned earlier were transformed into ordinary differential equations using appropriate similarity transmutations and solved with bvp4c (MATLAB built-in function). Multiple linear regression (i.e., a statistical tool used to explain outcomes related to engineering parameters of interest) was adopted for a deep scrutinization and exploration. The outcome of the analysis suggests that the thermal radiation parameter can be used to control the heat transferred via convection in the fluid flow. It is detected that the magnetic field parameter and volume fraction of nanoparticle parameters are useful to reduce the shear stress near the surface. The heat source ameliorates the fluid temperature, and the concentration of the fluid decreases with the rise in the chemical reaction parameter. Worthy to conclude that the Peclet and Schmidt number escalates the density number of motile microorganisms.</jats:p