A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities

Abstract

A simple model for homogeneous-heterogeneous reactions in stagnation-point boundary-layer flow is constructed in which the homogeneous (bulk) reaction is assumed to be given by isothermal cubic autocatalator kinetics and the heterogeneous (surface) reaction by first order kinetics. The possible steady states of this system are analysed in detail in the case when the diffusion coefficients of both reactant and autocatalyst are equal. Hysteresis bifurcations leading to multiple solutions are found. The temporal stability of these steady states is then discussed.

The stagnation-point flow towards a shrinking sheet with homogeneous – heterogeneous reactions effects: A stability analysis

“…It is assumed that a simple model for homogeneous-heterogeneous reaction in a boundary layer flows as proposed by Merkin [3], Chaudhary and Merkin [1,2,19 (6) where u is the velocity along the x-direction whereas v is the velocity along the y-direction. is the kinematic viscosity, ( ) e x u is the free stream velocity and D A and D B are the respective diffusion coefficients.…”

“…Catalysis, biochemical systems and combustion are the examples of numerous chemical reacting systems contain for both homogeneous and heterogeneous reactions. A simple model in boundary-layer flow for homogeneous -heterogeneous reactions has been first considered by Chaudhary and Merkin [1]. They gave the model of homogeneous reaction is isothermal cubic kinetics and heterogeneous reaction by first order kinetics.…”

Analysis of MHD boundary layer flow of an Upper- Convected Maxwell fluid with homogeneous-heterogeneous chemical reactions

“…The chemical reaction model proposed by Chaudhary and Merkin [1] the reaction rate constants. Both reaction processes are assumed to be isothermal.…”

“…Both reaction processes are assumed to be isothermal. Equations (2.1) and (2.2) have been used for boundary layer flow over a stretching sheet by Chaudhary and Merkin [1] for a basic model with reactions. This model guarantees that the reaction rate will be zero in the external flow and thus zero at the outer edge of the boundary layer.…”

Chemically reactive flow of upper-convected Maxwell fluid with Cattaneo–Christov heat flux model

“…In this direction Merkin [1] studied a model for isothermal homogeneous-heterogeneous reactions in boundary layer flow over a flat plate. Forced convection stagnation point flow of viscous fluid with homogeneous-heterogeneous reactions was explored by Chaudhary and Merkin [2]. Impact of nanoparticles in flow of viscous liquid with homogeneous/heterogeneous reactions is explored by Krishnamurthy et al [3].…”