A study on nanoliquid flow with irregular heat source and realistic boundary conditions: A modified Buongiorno model for biomedical applications

Titanium dioxide plays a vital role in cancer therapy methods (including photothermal therapy and photodynamic therapy), skincare products, heat exchangers, and car radiators. Therefore, the dynamics of the TiO2 nanomaterial with H2O as basefluid over a nonlinearly stretched surface is investigated. For realistic nanoliquid modeling, the conventional Buongiorno model has been improvised (called modified Buongiorno model [MBM]) by incorporating the effective thermophysical properties of the nanoliquid. Experimentally derived correlations of the thermal conductivity and dynamic viscosity of the nanofluid are utilized. The significance of passive control of nanoparticles is also studied. The heat transfer analysis includes the mechanism of Rosseland heat flux and exponential heat source. Similarity theory is used to obtain nonlinear ordinary differential equations (ODEs) from the governing partial differential equations which are solved numerically using bvp5c, a finite difference-based routine in MATLAB. Further, the heat transfer rate is statistically scrutinized for the consequence of magnetic field (Formula presented.), thermal radiation (Formula presented.) and exponential heat source (Formula presented.) by employing Response Surface Methodology (RSM) and sensitivity analysis. The temperature of nanofluid ascends with the exponential heat source, thermal radiation, and thermophoresis aspects. Furthermore, when the MBM is utilised, the thermal field of the nanofluid is greater than when the classic Buongiorno model is used. The rate of heat transfer correlates positively with radiative heat flux. The exponential heat source exhibits a negative sensitivity towards the rate of heat transfer

Significance of nanoparticle radius on EMHD Casson blood-gold nanomaterial flow with non-uniform heat source and Arrhenius kinetics

For its biomedical applicability, the dynamics electro-magnetohydrodynamic flow of blood-gold nanomaterial over a nonlinearly stretching surface utilizing the Casson model has been numerically elucidated. The impact of second-order hydrodynamic-slip, gold nanoparticles of different inter-particle spacing and radius, and non-uniform heat source are also accounted. The incorporation of nanofluid characteristics in the traditional Casson model improves the applicability, practicality and realistic nature of the modeled flow problem. The present study finds its application in radiofrequency ablation, magnetic resonance imaging, cancer therapy, and targeted drug delivery. Apposite similarity variables are employed to transmute the modeled flow equations into a nonlinear system of first-order ODEs which are then resolved using the bvp5c scheme. It is observed that the intensification in space-dependent heat source, temperature-dependent heat source and heat of reaction ascend the thermal field. It is noted that per unit increase in the inter-particle spacing ascends the drag coefficient by 70.2431176% whereas the nanoparticle radius descends the drag coefficient by 42.2109338%. Further, the impact of heat of reaction (0.1 ≤ α≤ 0.9) , reaction rate (0.1 ≤ β≤ 0.9) , nanoparticle radius (0.5 ≤ Rnp≤ 2.5) , and inter-particle spacing (0.5 ≤ h≤ 2.5) on the mass transfer rate (ShxRex-1/2) has been scrutinized statistically using the five-level four-factor response surface optimized model. The mass transfer rate is maximum for larger values of inter-particle spacing and smaller values of reaction rate, heat of reaction and the radius of gold nanoparticles

Publisher Correction: Significance of nanoparticle radius on EMHD Casson blood-gold nanomaterial flow with non-uniform heat source and Arrhenius kinetics (Journal of Thermal Analysis and Calorimetry, (2023), 148, 17, (8945-8968), 10.1007/s10973-023-12288-w)

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