English العربية کوردی
01007031

السيد ابراهيم سلو حمد

Lecturer
فاکولتي العلوم / الرياضيات
9647507622095
ibrahim.hamad@uoz.edu.krd
عدد المنشورات: 4
0
جوائز
4
البحوث العلمية
1
الاطاريح
0
الدورات التدريبية

0
الكتب
0
المؤتمرات العلمية
0
العروض التقديمية
0
ورش العمل
2015
Master

Mathematics
University of Zakho

2012
Master

University of Zakho
University of Zakho

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Research gate
Orced
Lecturer

تاريخ: 2023-10-22

Assistant Lecturer

تاريخ: 2019-06-30

2023

Linear Stability of Double-sided Symmetric Thin Liquid Film by Integral-theory
Mathematics and Statistics (القضية : 1) (الحجم : 11)
The Integral Theory approach is used to explore the stability and dynamics of a free double-sided symmetric thin liquid film. For a Newtonian liquid with non-variable density and moving viscosity, the flowing in a thinning liquid layer is analyzed in two dimensions. To construct an equation that governs such flow, the Navier and Stokes formulas are utilized with proper boundary conditions of zero shear stress conjointly of normal stress on the bounding free surfaces with dimensionless variables. After that, the equations that are a non-linear evolution structure of layer thickness, local stream rate, and the unknown functions can be solved by using straight stability investigation, and the normal mode strategy can moreover be connected to these conditions to reveal the critical condition. The characteristic equation for the growth rate and wave number can be analyzed by using MATLAM programming to show the region of stable and unstable films. As a result of our research, we are able to demonstrate that the effect of a thin, free, double-sided liquid layer is an unstable component
2023-01
Linear Stability of Thin Liquid Films Flows Down on an Inclined Plane Using Long-Wave Theory
General Letters in Mathematics (GLM) (القضية : 4) (الحجم : 12)
The Long-Wave Theory is applied to investigate the dynamic stability of free thin fluid films flowing down an inclined plane. We assume that thin supported films have a thickness of 𝐻̅ and less than or equal to one hundred nm. Equations of Navier and Stokes, continuity-equation, and related boundary conditions are used to represent a two-dimensional stream demonstrated as a continuum. Under long-wave approximation, the governing equations for the film interface have been rescaled and simplified to obtain a highly non-linear condition of development for the film interface. A procedure for evaluating the magnitude of the effects of the high-order effects is also used to formulate simplified governing equations. In the future, we can study this problem by adding heat transfer over the stretching plate. In addition, we can also study the stability analysis to twodimension flow of a viscous liquid within a horizontal thin liquid film with neglecting the inertia terms of NavierStokes equations.
2023-01

2015

Unsteady Flow in a Double-Sided Symmetric Thin Liquid Films
IOSR Journal of Mathematics (IOSR-JM) (القضية : 3) (الحجم : 11)
In this paper, we consider the unsteady flow within a double-sided symmetric thin liquid film with negligible inertia. We apply the Navier-Stokes equations in two dimensional flows for incompressible fluid. The similarity method is used in which the explicit time dependence can be isolated and thus the shape of the film will depend on one variable only. The differential equation of the film thickness is obtained analytically and the solution of equation that represents the film thickness is obtained numerically by using Rung-Kutta method.
2015-05
Stability Analysis of Thin Liquid Film by Long-Wave Method
IOSR Journal of Mathematics (IOSR-JM) (القضية : 3) (الحجم : 11)
stability and dynamics of a free double-sided symmetric thin liquid film are investigated by using the long-wave method. The flow in thin liquid film is considered in two dimensions for Newtonian liquid with constant density and dynamic viscosity. The Navier-stokes equations is used with appropriate boundary conditions of zero shear stress and also of normal stress on the bounding free surfaces with non-dimensional variables to obtain an equation that governs such flow.
2015-05

2015

Thin Liquid Films and Stability Analysis
This thesis deals with the unsteady flow within a double-sided symmetric thin liquid film with negligible inertia. The Navier-Stokes equations are applied in two dimensions for incompressible fluid with appropriate boundary conditions of zero shear stress. Also, for normal stress on the bounding free surfaces with non-dimensional variables to obtain an equation that governs such flow. The similarity method is used by which the explicit time dependence can be isolated and thus the shape of the film will depend on one variable only. The differential equation of the film thickness is obtained analytically and the solution of equation that represents the film thickness is obtained numerically by using Rung-Kutta method with the aid of Matlab (ode45). In addition, the stability and dynamics of a free double-sided symmetric thin liquid film are investigated by using the long-wave method. The flow in thin liquid film is considered in two dimensions for Newtonian liquid with constant density and dynamic viscosity. Moreover, the stability of the evolution equation of the thickness of the horizontal thin liquid film is studied, where the convective terms are neglected by using disturbance.
2015-10-30