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

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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.

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ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik



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