Hybrid nanofluid flow over two different geometries with Cattaneo-Christov heat flux model and heat generation: A model with correlation coefficient and probable error

The authors scrutinize the steady, MHD flow of SiO2- MoS2/water hybrid nanofluid towards two different geometries i.e. a wedge and a cone. The Tiwari and Das model is implemented with a generalized-Fourier's model, popularized as Cattaneo-Christov heat flux model. Analysis of heat transfer also incorporates the effects of suction, heat generation and thermal radiation. To showcase the relationship between engineering quantities and pertinent parameters involved in the study, the correlation coefficient for heat transfer coefficient and the skin friction coefficient is computed followed by the computation of probable error and statistical declaration. Similarity transformations are utilized to remodel the constitutive laws of flow in non-dimensional form. Numerical computation of non-linear, coupled O.D.E.'s is performed with the support of the Runge-Kutta-Fehlberg scheme and shooting method. Graphical and tabular illustrations of computed results are provided to report the variation in flow properties with the fluctuation in physical parameters. In both cases, i.e. flow close to a wedge and a cone, the temperature of hybrid nanofluid enhances on intensifying the thermal radiation and experiences a decrement with thermal relaxation parameter and magnetic field. Rising values of the suction parameter, thermal relaxation parameter, and thermal radiation cause increment in heat transfer coefficient. Interestingly, it was spotted that the heat generation parameter has contrary effects on temperature distribution over the two geometries.

Automated summary

The study examines the steady MHD flow of SiO2-MoS2/water hybrid nanofluid towards two different geometries, incorporating heat transfer, suction, heat generation, and thermal radiation effects. Numerical computation is performed using similarity transformations and the Runge-Kutta-Fehlberg scheme, showing that the temperature of the nanofluid increases with thermal radiation but decreases with thermal relaxation and magnetic field. Additionally, increasing suction, thermal relaxation, and thermal radiation values result in higher heat transfer coefficient. Interestingly, the heat generation parameter has opposite effects on temperature distribution over the two geometries.