Abstract
The goal of this work is to present the numerical results of MHD flow of nanofluid with Cattaneo-Christov heat flux model and thermally radiation by a stretching surface with melting boundary conditions. Nanofluids are a new kind of nanofluid but their commercial application is still in the works. It is also expected that hybrid nanomaterials should be used in more effective related technologies. These nanofluids would be used in cancer treatment, electronic systems, packaging materials and scientific research. It was established that the physical illustration exists for the examined boundary value problem. For a stretching surface, it was realized that a nanofluid with γ-Al2O3 nanoparticles mechanism is a cooler on growing some of the examined flow parameters. Blood, water and C2H6O2 are used as base fluids and nanoparticles γ-Al2O3 were measured as a nanofluid. By employing appropriate similarity transformations, the main governing PDEs are composed to a set of nonlinear ODEs which are then numerically solved in the computational tool MATLAB by a three-stage Lobatto III-A formula. The velocity is declined for the greater estimations of the permeability parameter. The temperature is boomed up for the greater estimations of Biot number and radiation parameter. Moreover, the flow ranges for each flow parameter, such as 0.1⩽λ⩽1.0, 0.1⩽ϕ⩽0.3, 0.1⩽K⩽1.0, -0.5⩽α⩽0.5, 0.1⩽Rd⩽1.0, 0.4⩽Me⩽1.2, 1.0⩽Ω⩽1.2, 0.4⩽Bi⩽1.0 and 1.5⩽θw⩽1.7 are scrutinized. In this research work, a numerical scheme was used to explore the aspects of γ-Al2O3 nanomaterials across a starching surface. The authenticity of the aforementioned research work guarantees that the new study was never identified before and is wholly new; thus, in the case of results authenticity, a Lobatto III-A formula is designed to simulate in mathematical software MATLAB by built-in routine bvp4c (shooting) method and it is observed to be in good agreement with the previous works of literature.
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