Numerical study of homogeneous-heterogeneous reactions on stagnation point flow of ferrofluid with non-linear slip condition

doi:10.1016/j.cjche.2016.05.019

Abstract

Abstract: This study deals with the stagnation point flow of ferrofluid over a flat plate with non-linear slip boundary condition in the presence of homogeneous-heterogeneous reactions. Three kinds of ferroparticles, namely, magnetite (Fe₃O₄), cobalt ferrite (CoFe₂O₄) and manganese zinc ferrite (Mn-ZnFe₂O₄) are taken into account with water and kerosene as conventional base fluids. The developed model of homogeneous-heterogeneous reactions in boundary layer flow with equal and unequal diffusivities for reactant and autocatalysis is considered. The governing partial differential equations are converted into system of non-linear ordinary differential equations by mean of similarity transformations. These ordinary differential equations are integrated numerically using shooting method. The effects of pertinent parameters on velocity and concentration profiles are presented graphically and discussed. We found that in the presence of Fe₃O₄-kerosene and CoFe₂O₄-kerosene, velocity profiles increase for large values of α and β whereas there is a decrement in concentration profiles with increasing values of K and K_s. Furthermore, the comparison between non-magnetic (Al₂O₃) and magnetic Fe₃O₄ nanoparticles is given in tabular form.

Key words: Ferrofluid, Stagnation point flow, Homogeneous-heterogeneous reactions, Generalized slip boundary condition, Numerical solution

摘要： This study deals with the stagnation point flow of ferrofluid over a flat plate with non-linear slip boundary condition in the presence of homogeneous-heterogeneous reactions. Three kinds of ferroparticles, namely, magnetite (Fe₃O₄), cobalt ferrite (CoFe₂O₄) and manganese zinc ferrite (Mn-ZnFe₂O₄) are taken into account with water and kerosene as conventional base fluids. The developed model of homogeneous-heterogeneous reactions in boundary layer flow with equal and unequal diffusivities for reactant and autocatalysis is considered. The governing partial differential equations are converted into system of non-linear ordinary differential equations by mean of similarity transformations. These ordinary differential equations are integrated numerically using shooting method. The effects of pertinent parameters on velocity and concentration profiles are presented graphically and discussed. We found that in the presence of Fe₃O₄-kerosene and CoFe₂O₄-kerosene, velocity profiles increase for large values of α and β whereas there is a decrement in concentration profiles with increasing values of K and K_s. Furthermore, the comparison between non-magnetic (Al₂O₃) and magnetic Fe₃O₄ nanoparticles is given in tabular form.

关键词: Ferrofluid, Stagnation point flow, Homogeneous-heterogeneous reactions, Generalized slip boundary condition, Numerical solution

Zaheer Abbas, Mariam Sheikh. Numerical study of homogeneous-heterogeneous reactions on stagnation point flow of ferrofluid with non-linear slip condition[J]. , 2017, 25(1): 11-17.

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