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Journal of Applied Mechanics and Technical Physics

2015 year, number 3

Reactive Solute Transfer in a Stagnation-Point Flow Over a Shrinking Sheet with a Diffusive Mass Flux

K. Bhattacharyya
The University of Burdwan, Burdwan-713104, West Bengal, India
Keywords: диффузионный поток массы, течение в окрестности лобовой точки, пограничный слой, массоперенос в химически активном растворе, сжимающаяся пластина, двойные решения, diffusive mass flux, stagnation-point flow, boundary layer, reactive solute transfer, shrinking sheet, dual solutions

Abstract

Reactive solute transfer in a boundary-layer stagnation-point flow over a shrinking sheet with a uniform diffusive mass flux is investigated. The first-order chemical reaction is considered. By similarity transformations, the governing partial differential equations are converted into self-similar nonlinear ordinary differential equations. Then the transformed equations are solved numerically by using the shooting method. Dual solutions for the solute distribution are found. The study shows that the concentration at the point increases with increasing velocity ratio parameter for the first solution and decreases for the second solution. Due to an increase in the Schmidt number and reaction rate parameter, the concentration and concentration boundary layer thickness decrease in the presence of the mass flux.