Consequences of non-Fourier's heat conduction relation and chemical processes for viscoelastic liquid

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Abstract

The current work aims to investigate the features of an improved heat conduction relation and chemical processes on the unsteady second grade fluid over a stretching surface. The features of unsteady Cattaneo-Christov heat relation is incorporated in the energy equation. The unsteady Cattaneo-Christov heat flux relation is the generalization of Fourier's laws in which the time space upper-convected derivative is utilized to describe the heat conduction phenomena. Additionally, the mass transfer phenomena is conducted by utilizing heterogeneous-heterogeneous processes. Heterogeneous-homogenous phenomena's are taking place on the surface of the wall and ambient fluid, respectively. Moreover, these processes are given by isothermal cubic auto-catalator and first order kinetics. The self-similarity transformation is used to transfer the governing PDEs into the ODEs. The resulting problem under consideration is solved analytically by using HAM. The effect of non-dimensional pertinent parameters on the temperature and concentration distribution are deliberated by using graphs and tables. Results show that the temperature profile diminishes for augmented values of the thermal relaxation parameter. In addition to this, it has come to the observation that the liquid temperature is higher for classical Fourier's law when compared to non- Fourier's law.

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Sohail, A., Khan, W. A., Khan, M., & Shah, S. I. A. (2017). Consequences of non-Fourier’s heat conduction relation and chemical processes for viscoelastic liquid. Results in Physics, 7, 3281–3286. https://doi.org/10.1016/j.rinp.2017.08.051

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