On the Studying of Computational Bio-Mathematics
Naglaa Fawzi Abd Allah;
Abstract
This thesis contains numerical solutions for systems of nonlinear equations governing fluid flow and heat transfer of some non-Newtonian fluids through different geometric shapes. Also presented a study to the error analysis in numerical methods by comparing it with exact solution and previously published work. It should be noted that the solution of the current results is obtained by designing Matlab programme and then the present graphics are drawn by designing Excel and Matlab programmes. This thesis consists of four chapters, which are followed by lists of references.
Chapter(1)
The introductory chapter is considered as a background for the material included in the thesis. The purpose of this chapter is to present a short introduction on numerical analysis and fluid mechanics, a brief survey of famous numerical methods which using to solve fluid mechanics problems, fluid properties and the basic flow equations. Moreover, it contains a short survey of some needed concepts of the material used in this thesis.
Chapter(2)
The purpose of this chapter is to study the effect of Casson viscosity on steady MHD flow and heat transfer between two parallel plates in the presence of dissipations. the governing equations are transformed into ordinary differential equations by applying the dimensionless quantities. In addition, the resulting equations solved numerically by using the finite difference method (FDM). Moreover, numerical results are presented for the distribution of velocity and temperature profiles for various parametric conditions. The effects of varying pressure parameter , the Hartman number and the yield stress parameter are determined. Furthermore, at the end of this chapter the conclusions are summarized. Some results of this chapter is accepted (Asian Journal of Mathematics and Computer Science).
Chapter(3)
The aim of this chapter is to study the effect of radiation, heat generation and dissipations on heat transfer of stagnation point MHD flow of micropolar fluid over a stretching sheet. Using suitable similarity transformations, the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by applying (FDM). The solutions are found to be governed by six parameters, the stretching parameter , the material parameter , the thermal radiation parameter , the Prandtl number , the heat generation/absorption parameter and Eckert number . Numerical results are presented the distribution of velocity and temperature profiles. Furthermore, comparisons of the present results with previously published work respect to skin friction show that the present results have high accuracy and are found to be in a good agreement. At the end of this chapter, the conclusions are summarized. The work in this chapter is submitted to (International Journal of advances in Applied Mathematics and Mechanics).
Chapter(1)
The introductory chapter is considered as a background for the material included in the thesis. The purpose of this chapter is to present a short introduction on numerical analysis and fluid mechanics, a brief survey of famous numerical methods which using to solve fluid mechanics problems, fluid properties and the basic flow equations. Moreover, it contains a short survey of some needed concepts of the material used in this thesis.
Chapter(2)
The purpose of this chapter is to study the effect of Casson viscosity on steady MHD flow and heat transfer between two parallel plates in the presence of dissipations. the governing equations are transformed into ordinary differential equations by applying the dimensionless quantities. In addition, the resulting equations solved numerically by using the finite difference method (FDM). Moreover, numerical results are presented for the distribution of velocity and temperature profiles for various parametric conditions. The effects of varying pressure parameter , the Hartman number and the yield stress parameter are determined. Furthermore, at the end of this chapter the conclusions are summarized. Some results of this chapter is accepted (Asian Journal of Mathematics and Computer Science).
Chapter(3)
The aim of this chapter is to study the effect of radiation, heat generation and dissipations on heat transfer of stagnation point MHD flow of micropolar fluid over a stretching sheet. Using suitable similarity transformations, the governing partial differential equations are transformed into ordinary differential equations and then solved numerically by applying (FDM). The solutions are found to be governed by six parameters, the stretching parameter , the material parameter , the thermal radiation parameter , the Prandtl number , the heat generation/absorption parameter and Eckert number . Numerical results are presented the distribution of velocity and temperature profiles. Furthermore, comparisons of the present results with previously published work respect to skin friction show that the present results have high accuracy and are found to be in a good agreement. At the end of this chapter, the conclusions are summarized. The work in this chapter is submitted to (International Journal of advances in Applied Mathematics and Mechanics).
Other data
| Title | On the Studying of Computational Bio-Mathematics | Other Titles | دراسة فى الرياضيات الحيوية الحسابية | Authors | Naglaa Fawzi Abd Allah | Issue Date | 2015 |
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