Partial Differential Equations in Applied Mathematics (Sep 2024)
Analysis of heat generation impact on nanofluid flow over a stretching sheet
Abstract
In this paper, studied the impact of heat generation of Nanofluid movement over a stretching sheet by the consideration of Thermophoresis, Brownian motion & first order chemical react parameters etc. Constructed the modelling equations with based on assumptions and by introducing emerging parameters. The equations converted to third order ODE through stream functions. FDM with collocation polynomial technique (bvp4c) employed to solve those equations through MATLAB software. The results are presented through graphical form with the influence of emerging parameters. Thickness of thermal boundary stratum decreased as enhancing of Prandtl number. Influence of Brownian motion parameter, fluid temperature raised and fall down the concentration. Temperature of fluid and concentration raised as enhancement of thermophoresis. A decrease in the heat transfer rate and an increase in the mass transfer rate are observed as thermophoresis, Brownian motion, and heat generation parameter values increasing. The enhancement of chemical reaction parameters intensifies the driving forces of temperature and concentration gradients, which govern heat and mass transfer, leading to increased rates of both heat and mass transfer. Validation of the model presented and the present results align well by past reported studies. This model can extent to analyse the hybrid nanofluid in the manufacturing process of detergent, painting and lubricants, analysis of blood flow in artery etc.