Alaa Hammodat - Academia.edu (original) (raw)
Papers by Alaa Hammodat
European Journal of Pure and Applied Mathematics
We study three key topics in this article, including Casson fluid flow at its stagnation point, h... more We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer in the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, and energy are controlled by the mathematical model. This is accomplished by using appropriate transformations to study dimensionless partial differential equations of motion, energy, and continuity. The Adam-Bashforth method is used to solve several nonlinear dimensionless partial differential equations. The analysis is based both on analytic and numerical representations of the impact of parameters which are relevant to the analysis, such as the Casson parameter β, porosity parameter K, magnetic field M, mixed convection parameter γ, and thermal radiation R. Finally, using the Adam-Bashforth approach, we are able to determine velocity profiles as well as temperature profiles.
European Journal of Pure and Applied Mathematics
Building a computational formula which is expressed by a system of nonlinear partial differential... more Building a computational formula which is expressed by a system of nonlinear partial differential equations in two components was done in this job. The matter of energy transfer by free convection of a dissipative liquid running in a horizontal channel with a porous medium was examined in this study, and we describe the behavior of fluid flow through the channel and the temperature distribution within it. Numerical methods were used as the ODE45 method, one of the Rang-Kutta methods for processing the resulting differential equations. The effect of the Prandtl number, the Schmidt multitude, and the Gratshof amount were also studied.
Iraqi Journal of Science, 2021
This paper deals with a mathematical model of a fluid flowing between two parallel plates in a po... more This paper deals with a mathematical model of a fluid flowing between two parallel plates in a porous medium under the influence of electromagnetic forces (EMF). The continuity, momentum, and energy equations were utilized to describe the flow. These equations were stated in their nondimensional forms and then processed numerically using the method of lines. Dimensionless velocity and temperature profiles were also investigated due to the impacts of assumed parameters in the relevant problem. Moreover, we investigated the effects of Reynolds number , Hartmann number M, magnetic Reynolds number , Prandtl number , Brinkman number , and Bouger number , beside those of new physical quantities (N , ). We solved this system by creating a computer program using MATLAB.
3RD INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2021)
AL-Rafidain Journal of Computer Sciences and Mathematics
In this paper we study idempotent elements, we give some new properties of idempotent elements an... more In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent. Finally we study special ring which satisfies the property 1 + = n n x x for all x in R and n is a positive integer, we represent such ring in termes of idempotent and nilpotent elements.
AL-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we studied differential system like of three dimensional Lorenz system. Nonlinear ... more In this paper, we studied differential system like of three dimensional Lorenz system. Nonlinear characteristic and basic dynamic properties of three dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and we found that the value 4 1 − = b is effected by the form of the roots.
AL-Rafidain Journal of Computer Sciences and Mathematics
This paper is devoted to analysis the stability of horizontal and inclination in a glazing caviti... more This paper is devoted to analysis the stability of horizontal and inclination in a glazing cavities of equations that we expose to disturbance. This analysis is done by finding the eigenvalues of the system which enable us to investigate the grow of disturbance after setting glazing cavities equations in linearization form. We obtain from our results that the equations are stable when the real part of wave velocity is negative , and unstable when it is positive .
AL-Rafidain Journal of Computer Sciences and Mathematics
In this research, we study the stability of a system of partial differential equations which repr... more In this research, we study the stability of a system of partial differential equations which represents fluid flow in an inclined channel and under the influence of a magnetic field perpendicular to the plane of the channel and the presence of radiation coefficients and when the channel has an inclination angle 30 = .
JOURNAL OF EDUCATION AND SCIENCE
In this work, we study the stagnation point flow of Casson fluid and heat transfer phenomena in p... more In this work, we study the stagnation point flow of Casson fluid and heat transfer phenomena in presence of thermal radiation and magnetic field. We used the suitable similarity transformation to reduce governing partial differential equations into ordinary differential equations, these equations are solved numerically using Rang-Kutta method. Effects of nondimensional parameters on velocity, temperature are discussed and presented through graphs as well as coefficient of skin friction and local Nusselt numbers is investigated stretching/shrinking cases.
JOURNAL OF EDUCATION AND SCIENCE
In this paper we give some properties of the zero commut idempotent matrices ,and give some prope... more In this paper we give some properties of the zero commut idempotent matrices ,and give some properties of non-singular matrices. Some basic properties of idempotent matrices.
JOURNAL OF EDUCATION AND SCIENCE, Oct 1, 2013
European Journal of Pure and Applied Mathematics
We study three key topics in this article, including Casson fluid flow at its stagnation point, h... more We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer in the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, and energy are controlled by the mathematical model. This is accomplished by using appropriate transformations to study dimensionless partial differential equations of motion, energy, and continuity. The Adam-Bashforth method is used to solve several nonlinear dimensionless partial differential equations. The analysis is based both on analytic and numerical representations of the impact of parameters which are relevant to the analysis, such as the Casson parameter β, porosity parameter K, magnetic field M, mixed convection parameter γ, and thermal radiation R. Finally, using the Adam-Bashforth approach, we are able to determine velocity profiles as well as temperature profiles.
European Journal of Pure and Applied Mathematics
Building a computational formula which is expressed by a system of nonlinear partial differential... more Building a computational formula which is expressed by a system of nonlinear partial differential equations in two components was done in this job. The matter of energy transfer by free convection of a dissipative liquid running in a horizontal channel with a porous medium was examined in this study, and we describe the behavior of fluid flow through the channel and the temperature distribution within it. Numerical methods were used as the ODE45 method, one of the Rang-Kutta methods for processing the resulting differential equations. The effect of the Prandtl number, the Schmidt multitude, and the Gratshof amount were also studied.
Iraqi Journal of Science, 2021
This paper deals with a mathematical model of a fluid flowing between two parallel plates in a po... more This paper deals with a mathematical model of a fluid flowing between two parallel plates in a porous medium under the influence of electromagnetic forces (EMF). The continuity, momentum, and energy equations were utilized to describe the flow. These equations were stated in their nondimensional forms and then processed numerically using the method of lines. Dimensionless velocity and temperature profiles were also investigated due to the impacts of assumed parameters in the relevant problem. Moreover, we investigated the effects of Reynolds number , Hartmann number M, magnetic Reynolds number , Prandtl number , Brinkman number , and Bouger number , beside those of new physical quantities (N , ). We solved this system by creating a computer program using MATLAB.
3RD INTERNATIONAL SCIENTIFIC CONFERENCE OF ALKAFEEL UNIVERSITY (ISCKU 2021)
AL-Rafidain Journal of Computer Sciences and Mathematics
In this paper we study idempotent elements, we give some new properties of idempotent elements an... more In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent. Finally we study special ring which satisfies the property 1 + = n n x x for all x in R and n is a positive integer, we represent such ring in termes of idempotent and nilpotent elements.
AL-Rafidain Journal of Computer Sciences and Mathematics
In this paper, we studied differential system like of three dimensional Lorenz system. Nonlinear ... more In this paper, we studied differential system like of three dimensional Lorenz system. Nonlinear characteristic and basic dynamic properties of three dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and we found that the value 4 1 − = b is effected by the form of the roots.
AL-Rafidain Journal of Computer Sciences and Mathematics
This paper is devoted to analysis the stability of horizontal and inclination in a glazing caviti... more This paper is devoted to analysis the stability of horizontal and inclination in a glazing cavities of equations that we expose to disturbance. This analysis is done by finding the eigenvalues of the system which enable us to investigate the grow of disturbance after setting glazing cavities equations in linearization form. We obtain from our results that the equations are stable when the real part of wave velocity is negative , and unstable when it is positive .
AL-Rafidain Journal of Computer Sciences and Mathematics
In this research, we study the stability of a system of partial differential equations which repr... more In this research, we study the stability of a system of partial differential equations which represents fluid flow in an inclined channel and under the influence of a magnetic field perpendicular to the plane of the channel and the presence of radiation coefficients and when the channel has an inclination angle 30 = .
JOURNAL OF EDUCATION AND SCIENCE
In this work, we study the stagnation point flow of Casson fluid and heat transfer phenomena in p... more In this work, we study the stagnation point flow of Casson fluid and heat transfer phenomena in presence of thermal radiation and magnetic field. We used the suitable similarity transformation to reduce governing partial differential equations into ordinary differential equations, these equations are solved numerically using Rang-Kutta method. Effects of nondimensional parameters on velocity, temperature are discussed and presented through graphs as well as coefficient of skin friction and local Nusselt numbers is investigated stretching/shrinking cases.
JOURNAL OF EDUCATION AND SCIENCE
In this paper we give some properties of the zero commut idempotent matrices ,and give some prope... more In this paper we give some properties of the zero commut idempotent matrices ,and give some properties of non-singular matrices. Some basic properties of idempotent matrices.
JOURNAL OF EDUCATION AND SCIENCE, Oct 1, 2013