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In many engineering applications, it is important to consider the temperature dependence of a material's properties, such as its viscosity and thermal conductivity. Aiming the same, here, in the existing exploration, viscosity and thermal conductivity are taken as variables instead of constant. This study discusses the flow of a viscous fluid over a rotating disk with a surface catalyst. The homogeneous-heterogeneous reactions are supplemented by surface catalysis that boosts the chemical reaction rate in the minimum possible time. The novelty of the problem is enhanced by the incorporation of the variable diffusion coefficients of both chemical species. The Von Karman transformation is used and the system is scrutinized by the bvp4c function of the MATLAB software. The results are portrayed in the form of illustrations and tables. The outcomes divulged that the mass diffusion rate and wall concentration for the porosity and surface catalyzed parameter show a decreasing behavior. [ABSTRACT FROM AUTHOR]

Here, we discuss three-dimensional dusty nanofluid thin film flow with nonlinear thermal radiation, where carbon nanotubes flow past an inclined rotating disk with a constant angular velocity of Ω. This novel mathematical model is unique and is discussed here for the first time. Downward draining flow and lateral flow arise due to inclination. The demonstrated geometry is characterized in terms of time-independent continuity, momentum, and energy balance. Similarity transformations convert the partial differential equation into a system of ordinary differential equations. The obtained equations are analyzed numerically using the bvp4c MATLAB function. The thermal field of the dust phase was smaller than that of the nanofluid phase, and this difference was exacerbated by increasing the thermal radiation. To validate the model presented here, it is compared to a previous model; the models showed high concordance. [ABSTRACT FROM AUTHOR]