The aim of this thesis is to investigate the mass transfer analysis in the two-dimensional bounda... more The aim of this thesis is to investigate the mass transfer analysis in the two-dimensional boundary layer flow of Newtonian/non-Newtonian fluids near a stagnation point in the presence of chemically reactive species. Both homogeneous and heterogeneous chemical reactions are considered by taking the n th order homogeneous chemical reaction of constant rate n k and the diffusion coefficients of both reactant and autocatalysis are equal in heterogeneous reaction. Heat transfer analysis is also performed using Fourier’s and Cattaneo-Christov heat flux models with thermal radiation and heat generation/absorption. The modeled flow equations in terms of continuity, momentum, temperature and concentration are transformed into nonlinear ordinary differential equations by means of similarity transformations. Both analytical and numerical solutions are obtained by solving these equations using homotopy analysis method (HAM), Runge-Kutta-Fehlberg algorithm with shooting technique and bivariate ...
This study deals with the stagnation point flow of ferrofluid over a flat plate with nonlinear sl... more This study deals with the stagnation point flow of ferrofluid over a flat plate with nonlinear slip boundary condition in the presence of homogeneous-heterogeneous reactions. Three kinds of ferroparticles, namely, magnetite 34 , Fe O cobalt ferrite 24 CoFe O and manganese zinc ferrite 24 Mn ZnFe O 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 34 Fe O kerosene and 24 CoFe O kerosene, velocity profiles increase for large values of and whereas there is a decrement in concentration profiles with increasing values of K and .
Abstract The effects of chemical reaction and heat generation/absorption on MHD flow over an osci... more Abstract The effects of chemical reaction and heat generation/absorption on MHD flow over an oscillatory stretching surface in a viscous fluid have been studied in the presence of thermophoresis. The porous plate is oscillated back and forth in its own plane and suction/injection is also taking into account. The similarity solution of the developed non-linear governing partial differential equations is constructed in the form of series using homotopy analysis method. The convergence of the obtained series solutions is discussed in the whole domain ( 0 ≤ η ≤ ∞ ) . A parametric study of the all governing parameters is accomplished and the physical results are shown graphically.
The aim of this thesis is to investigate the mass transfer analysis in the two-dimensional bounda... more The aim of this thesis is to investigate the mass transfer analysis in the two-dimensional boundary layer flow of Newtonian/non-Newtonian fluids near a stagnation point in the presence of chemically reactive species. Both homogeneous and heterogeneous chemical reactions are considered by taking the n th order homogeneous chemical reaction of constant rate n k and the diffusion coefficients of both reactant and autocatalysis are equal in heterogeneous reaction. Heat transfer analysis is also performed using Fourier’s and Cattaneo-Christov heat flux models with thermal radiation and heat generation/absorption. The modeled flow equations in terms of continuity, momentum, temperature and concentration are transformed into nonlinear ordinary differential equations by means of similarity transformations. Both analytical and numerical solutions are obtained by solving these equations using homotopy analysis method (HAM), Runge-Kutta-Fehlberg algorithm with shooting technique and bivariate ...
This study deals with the stagnation point flow of ferrofluid over a flat plate with nonlinear sl... more This study deals with the stagnation point flow of ferrofluid over a flat plate with nonlinear slip boundary condition in the presence of homogeneous-heterogeneous reactions. Three kinds of ferroparticles, namely, magnetite 34 , Fe O cobalt ferrite 24 CoFe O and manganese zinc ferrite 24 Mn ZnFe O 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 34 Fe O kerosene and 24 CoFe O kerosene, velocity profiles increase for large values of and whereas there is a decrement in concentration profiles with increasing values of K and .
Abstract The effects of chemical reaction and heat generation/absorption on MHD flow over an osci... more Abstract The effects of chemical reaction and heat generation/absorption on MHD flow over an oscillatory stretching surface in a viscous fluid have been studied in the presence of thermophoresis. The porous plate is oscillated back and forth in its own plane and suction/injection is also taking into account. The similarity solution of the developed non-linear governing partial differential equations is constructed in the form of series using homotopy analysis method. The convergence of the obtained series solutions is discussed in the whole domain ( 0 ≤ η ≤ ∞ ) . A parametric study of the all governing parameters is accomplished and the physical results are shown graphically.
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Papers by Mariam Sheikh