Malaysian Journal of Mathematical Sciences, September 2017, Vol. 11, No. 3
Effect of Chemical Reactions on Dispersion of a Solute in Peristaltic Motion of Newtonian Fluid with Wall Properties
Sankad, G. and Dhange, M.
Corresponding Email: math.gurunath@bldeacet.ac.in
Received date: 14 January 2016
Accepted date: 3 July 2017
Abstract:
This paper reports an analytical key for dispersion of a solute substance in the peristaltic pumping of a Newtonian fluid through a uniform channel under the influence of wall properties with combined homogeneous and heterogeneous chemical reactions by taking into account the equations of the deformable boundaries and the fluid. The mean effective coefficient of dispersion on combined homogeneous and heterogeneous chemical reactions has been studied through \(\delta\)-approximation and conditions of Taylor’s limit. The behavior of penetrating parameters like homogeneous reaction rate, heterogeneous reaction rate, amplitude ratio and elastic parameters (\(E_1, E_2, E_3\)) are inspected through the graphical results. It is noticed that average effective dispersion enhances with wall parameters and amplitude ratio. These results reveal that the peristalsis boost dispersion of a solute substance.
Keywords: Chemical reaction, dispersion, peristaltic motion, wall properties
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