Abstract
Several industrial manufacturing processes mostly depend upon measurement of gases for controlling the product quality, process control, environmental compliance and production efficiencies. We propose here unsteady natural convection radiating flow as an application of gas flow measurement through mathematical modeling based on governing fractional differential equations. The mathematical model of unsteady natural convection radiating flow is analyzed by Fourier sine and Laplace transform with novel analytical calculations and results. From the analysis of mathematical point of view, the main novelty of considered technique is fractional approach of Atangana–Baleanu which provides non-singular effect of gas with Mittag–Leffler kernel, promising straightforward convergence of imposed initial and boundary conditions that is not assumed for perturbation and discretization. The analytical solutions are obtained for the temperature distribution and velocity field of gas flow based on sine and cosine sinusoidal waves, and these are expressed in terms of elementary functions. Finally, in order to meet the physical aspects of the problem, the multiple variations and differential parametric analysis have been presented through graphical illustrations.
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