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Papers by Mohamed Elshabrawy

Research paper thumbnail of Numerical Investigations of Heat Transfer enhancement in double pipe heat exchanger using twisted tape insert

AIAA Scitech 2021 Forum, Jan 4, 2021

Research paper thumbnail of Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations

Beni-Suef University Journal of Basic and Applied Sciences, Dec 23, 2022

Background: The nonlinear interaction between an elastic Euler beam and a tensionless soil founda... more Background: The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. The exact analytical solutions of the nonlinear problem are rather complicated. The main difficulty is imposing compatibility conditions at lift-off points. These points are determined as a part of the solution, although being needed to get the solution itself. In the current work, semi-analytical solutions are derived using the Rayleigh-Ritz method. The principle of vanishing variation of potential energy is adopted. The solution is approximated using a set of suitable trial functions. Accurate high-order approximate analytical solutions are obtained using MAXIMA symbolic manipulator. Lift-off points are identified through an iterative procedure and compatibility conditions are satisfied automatically. The methodology is designed to accommodate arbitrary configurations for the load distribution and the beam properties. Results: Exact solutions are revised briefly to verify the semi-analytical solutions in terms of deflection, bending moment, and shear. Semi-analytical solutions for constant beam properties including various support conditions and load distributions are verified. Convergence of high-order semi-analytical solutions is illustrated for cases including one and two contact points. A parametric study is provided to illustrate the effect of soil stiffness on the contact length. The case of a finite beam with free ends is considered. The semi-analytical solutions for variable beam moment of inertia are provided and verified. Conclusions: Highly accurate semi-analytical solutions can be obtained for the problem considered using the Rayleigh-Ritz method along with a symbolic manipulator. Arbitrary load and support configurations can be modeled, and the locations of lift-off points are well predicted. The semi-analytical solutions are extremely valuable for cases of variable moment inertia since exact solutions are rather rare.

Research paper thumbnail of Analytical Solution for Nonlinear Interaction of Euler Beam Resting on a Tensionless Soil

Proceedings of International Structural Engineering and Construction, Jul 1, 2021

The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is stud... more The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. Exact analytical solutions of the challenging problem are rather complicated. The basic obstacle is imposing compatibility conditions at lift-off points. These points are determined as a part of the solution although being needed to get the solution itself. In the current work, solutions are derived using the approximate Rayleigh-Ritz method. The principal of vanishing variation of potential energy is adopted. The solution is approximated using a set of suitable trial functions. Lift-off points are identified through an iterative procedure and compatibility conditions are satisfied implicitly. Results are presented for various cases, including clamped support and free end condition. Various distributed loading conditions are analyzed. Exact solutions are revised briefly. Accurate high order approximate analytical solutions are obtained using MAXIMA symbolic manipulator. The convergence of approximate solutions towards the exact solutions is verified. For each case detailed results of deflection, bending moment and shear are presented.

Research paper thumbnail of Analytical solution of thermal effect on unsteady visco-elastic dusty fluid between two parallel plates in the presence of different pressure gradients

Beni-Suef University Journal of Basic and Applied Sciences

Background Thermal diffusion of dusty fluids has valuable interference in various fields, includi... more Background Thermal diffusion of dusty fluids has valuable interference in various fields, including waste-water treatment, oil transportation, and power plant pipes. Dusty fluids are used in lots of industrial fields as a result of their improved heat transfer and heat management capabilities. These industries range from renewable energy systems to aerobic plastic sheet extrusion, manufacturing, and rolling and reaching metal sheet cooling. Results The work embodied in this paper presents the analytical solution performed to predict the effects of thermal diffusion on dusty, viscous, incompressible fluid flows between two porous, parallel vertical plates with a heat source or a heat sink. The mathematical equations are solved by the separation of variables and Laplace transform techniques. The influence of temperature is investigated for various values of Prandtl number and heat source or heat sink parameters. Also, the influences of various coefficients like the thermal diffusion c...

Research paper thumbnail of Analysis of chemical, ion slip, and thermal radiation effects on an unsteady magnetohydrodynamic dusty fluid flow with heat and mass transfer through a porous media between parallel plates

Bulletin of the National Research Centre

Background Investigating the dusty fluids flow attracted substantial attention in latest years be... more Background Investigating the dusty fluids flow attracted substantial attention in latest years because of their widespread utility within several industrial applications, including polymer technology, gas cooling systems, combustion, petroleum industry, and transport processes. The current article is dedicated to inspect the flow with mass transfer and heat of an unsteady Magneto-hydrodynamic dusty fluid. Consequently, impacts of chemical and thermal radiation, Joule, ion slip, Hall, and viscous dissipation toward heat and mass transferring and fluid flows are provided. Results Numerical solution of the controlling partial differential equations was performed. The temperature, velocity, and distribution of concentration for the particle and fluid phases were inspected under the influences of various physical parameters and their discussion was supplemented with diagrams. Conclusions The findings specify that these parameters have a significantly governed the solutions. The thermal r...

Research paper thumbnail of Analysis of chemical, Ion Slip, and thermal radiation effects on an Unsteady MHD Dusty fluid flow with heat and mass transfer through a Porous Media between parallel plates

Research Square (Research Square), Jul 14, 2022

The study of the flow of dusty fluids has attracted considerable in recent years due to their ext... more The study of the flow of dusty fluids has attracted considerable in recent years due to their extensive use in many applications in industries such as combustion, gas cooling systems, polymer technology, transport processes, and the petroleum industry. This study aims to analyze the flow with heat and mass transfer of an unsteady Magneto-hydrodynamic dusty fluid. Accordingly, combined influences of chemical and thermal radiation, Hall, ion slip, Joule, and viscous dissipation on heat mass transfer and fluid flows are given. The governing partial differentials are solved numerically. The velocity, temperature, and concentration distributions for both the fluid and particle phases are investigated under the effects of different physical parameters and discussed with the help of graphs. The results indicate that these parameters play an important role to control the solutions. The thermal radiation parameter implies efficiency improvement of temperature distribution.

Research paper thumbnail of Modeling of on Shore Propagation of Random Water Waves

ISRN Civil Engineering, 2011

Two numerical models are investigated to model random water waves (RWWs) transformation due to mi... more Two numerical models are investigated to model random water waves (RWWs) transformation due to mild depth variation. Modelling of steady on-shore propagation of small-amplitude RWWs is based on superposition principle of waves of different heights and directions. Each component is simulated through either the parabolic model (PM) or the elliptic model (EM). PM simulates weak refraction, diffraction, shoaling, and wave breaking. EM simulates strong refraction, diffraction, and shoaling. Both models neglect wave reflection. Comparison between PM and EM, in test cases that are experimentally measured, proved that both models give good results for unidirectional and narrow-directional RWW. However, EM is more accurate in modelling broad-directional RWWs.

Research paper thumbnail of Effects of the Hematocrit Variation on the Blood Flow in a Segment with Aneurysm of the Posterior Cerebral Artery

Research paper thumbnail of CFD analysis of transient blood flow in a cerebral aneurysm: A comparison between a healthy and diseased model

2021 3rd Novel Intelligent and Leading Emerging Sciences Conference (NILES), 2021

Research paper thumbnail of A Barotropic Model of the Red Sea Circulation

ISRN Civil Engineering, 2012

A linear depth-averaged numerical model of the horizontal barotropic circulation of the Red Sea i... more A linear depth-averaged numerical model of the horizontal barotropic circulation of the Red Sea is developed. The flow considered is incompressible, quasi-steady and free from vertical buoyancy currents and horizontal density currents. The model predicts general water circulation as affected by friction stresses at the irregular Red Sea bottom and coastal features, variable Coriolis force, vertical, and lateral turbulent friction, and seasonal non-uniformity of wind stress at the sea surface. The implicit finite-difference solution of the boundary value problem is verified with previous solutions for a rectangular constant-depth sea and for an elliptical lake with uniformly-sloping bottom topography. The model output is shown as plots of seasonally-averaged mass-transport vectors and circulation streamlines in the Red Sea basin.

Research paper thumbnail of Analytic and numeric analysis for deformation of non-prismatic beams resting on elastic foundations

Beni-Suef University Journal of Basic and Applied Sciences, 2021

Background The buckling load as well as the natural frequency under axial load for non-prismatic ... more Background The buckling load as well as the natural frequency under axial load for non-prismatic beam is a changeling problem. Determination of buckling load, natural frequency, and elastic deflection is very important in civil applications. The current paper used both perturbation method (PM), analytic method, and differential quadrature method (DQM), numerical method, to find buckling load and natural frequency with different end supports. The deflection of the beam resting on an elastic foundation under transverse distributed and axial loads is also obtained. Both PM and DQM are used for non-prismatic beams with rectangular and circular cross sections in the vibration analysis. The comparisons of results obtained from both PM and DQM showed perfect agreement with analytical solution for uniform beams with different end supports. The PM and DQM succeeded powerfully for investigating the buckling load as well as the natural frequency for non-prismatic beam. Results The percentage o...

Research paper thumbnail of Numerical Investigations of Heat Transfer enhancement in double pipe heat exchanger using twisted tape insert

AIAA Scitech 2021 Forum, Jan 4, 2021

Research paper thumbnail of Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations

Beni-Suef University Journal of Basic and Applied Sciences, Dec 23, 2022

Background: The nonlinear interaction between an elastic Euler beam and a tensionless soil founda... more Background: The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. The exact analytical solutions of the nonlinear problem are rather complicated. The main difficulty is imposing compatibility conditions at lift-off points. These points are determined as a part of the solution, although being needed to get the solution itself. In the current work, semi-analytical solutions are derived using the Rayleigh-Ritz method. The principle of vanishing variation of potential energy is adopted. The solution is approximated using a set of suitable trial functions. Accurate high-order approximate analytical solutions are obtained using MAXIMA symbolic manipulator. Lift-off points are identified through an iterative procedure and compatibility conditions are satisfied automatically. The methodology is designed to accommodate arbitrary configurations for the load distribution and the beam properties. Results: Exact solutions are revised briefly to verify the semi-analytical solutions in terms of deflection, bending moment, and shear. Semi-analytical solutions for constant beam properties including various support conditions and load distributions are verified. Convergence of high-order semi-analytical solutions is illustrated for cases including one and two contact points. A parametric study is provided to illustrate the effect of soil stiffness on the contact length. The case of a finite beam with free ends is considered. The semi-analytical solutions for variable beam moment of inertia are provided and verified. Conclusions: Highly accurate semi-analytical solutions can be obtained for the problem considered using the Rayleigh-Ritz method along with a symbolic manipulator. Arbitrary load and support configurations can be modeled, and the locations of lift-off points are well predicted. The semi-analytical solutions are extremely valuable for cases of variable moment inertia since exact solutions are rather rare.

Research paper thumbnail of Analytical Solution for Nonlinear Interaction of Euler Beam Resting on a Tensionless Soil

Proceedings of International Structural Engineering and Construction, Jul 1, 2021

The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is stud... more The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. Exact analytical solutions of the challenging problem are rather complicated. The basic obstacle is imposing compatibility conditions at lift-off points. These points are determined as a part of the solution although being needed to get the solution itself. In the current work, solutions are derived using the approximate Rayleigh-Ritz method. The principal of vanishing variation of potential energy is adopted. The solution is approximated using a set of suitable trial functions. Lift-off points are identified through an iterative procedure and compatibility conditions are satisfied implicitly. Results are presented for various cases, including clamped support and free end condition. Various distributed loading conditions are analyzed. Exact solutions are revised briefly. Accurate high order approximate analytical solutions are obtained using MAXIMA symbolic manipulator. The convergence of approximate solutions towards the exact solutions is verified. For each case detailed results of deflection, bending moment and shear are presented.

Research paper thumbnail of Analytical solution of thermal effect on unsteady visco-elastic dusty fluid between two parallel plates in the presence of different pressure gradients

Beni-Suef University Journal of Basic and Applied Sciences

Background Thermal diffusion of dusty fluids has valuable interference in various fields, includi... more Background Thermal diffusion of dusty fluids has valuable interference in various fields, including waste-water treatment, oil transportation, and power plant pipes. Dusty fluids are used in lots of industrial fields as a result of their improved heat transfer and heat management capabilities. These industries range from renewable energy systems to aerobic plastic sheet extrusion, manufacturing, and rolling and reaching metal sheet cooling. Results The work embodied in this paper presents the analytical solution performed to predict the effects of thermal diffusion on dusty, viscous, incompressible fluid flows between two porous, parallel vertical plates with a heat source or a heat sink. The mathematical equations are solved by the separation of variables and Laplace transform techniques. The influence of temperature is investigated for various values of Prandtl number and heat source or heat sink parameters. Also, the influences of various coefficients like the thermal diffusion c...

Research paper thumbnail of Analysis of chemical, ion slip, and thermal radiation effects on an unsteady magnetohydrodynamic dusty fluid flow with heat and mass transfer through a porous media between parallel plates

Bulletin of the National Research Centre

Background Investigating the dusty fluids flow attracted substantial attention in latest years be... more Background Investigating the dusty fluids flow attracted substantial attention in latest years because of their widespread utility within several industrial applications, including polymer technology, gas cooling systems, combustion, petroleum industry, and transport processes. The current article is dedicated to inspect the flow with mass transfer and heat of an unsteady Magneto-hydrodynamic dusty fluid. Consequently, impacts of chemical and thermal radiation, Joule, ion slip, Hall, and viscous dissipation toward heat and mass transferring and fluid flows are provided. Results Numerical solution of the controlling partial differential equations was performed. The temperature, velocity, and distribution of concentration for the particle and fluid phases were inspected under the influences of various physical parameters and their discussion was supplemented with diagrams. Conclusions The findings specify that these parameters have a significantly governed the solutions. The thermal r...

Research paper thumbnail of Analysis of chemical, Ion Slip, and thermal radiation effects on an Unsteady MHD Dusty fluid flow with heat and mass transfer through a Porous Media between parallel plates

Research Square (Research Square), Jul 14, 2022

The study of the flow of dusty fluids has attracted considerable in recent years due to their ext... more The study of the flow of dusty fluids has attracted considerable in recent years due to their extensive use in many applications in industries such as combustion, gas cooling systems, polymer technology, transport processes, and the petroleum industry. This study aims to analyze the flow with heat and mass transfer of an unsteady Magneto-hydrodynamic dusty fluid. Accordingly, combined influences of chemical and thermal radiation, Hall, ion slip, Joule, and viscous dissipation on heat mass transfer and fluid flows are given. The governing partial differentials are solved numerically. The velocity, temperature, and concentration distributions for both the fluid and particle phases are investigated under the effects of different physical parameters and discussed with the help of graphs. The results indicate that these parameters play an important role to control the solutions. The thermal radiation parameter implies efficiency improvement of temperature distribution.

Research paper thumbnail of Modeling of on Shore Propagation of Random Water Waves

ISRN Civil Engineering, 2011

Two numerical models are investigated to model random water waves (RWWs) transformation due to mi... more Two numerical models are investigated to model random water waves (RWWs) transformation due to mild depth variation. Modelling of steady on-shore propagation of small-amplitude RWWs is based on superposition principle of waves of different heights and directions. Each component is simulated through either the parabolic model (PM) or the elliptic model (EM). PM simulates weak refraction, diffraction, shoaling, and wave breaking. EM simulates strong refraction, diffraction, and shoaling. Both models neglect wave reflection. Comparison between PM and EM, in test cases that are experimentally measured, proved that both models give good results for unidirectional and narrow-directional RWW. However, EM is more accurate in modelling broad-directional RWWs.

Research paper thumbnail of Effects of the Hematocrit Variation on the Blood Flow in a Segment with Aneurysm of the Posterior Cerebral Artery

Research paper thumbnail of CFD analysis of transient blood flow in a cerebral aneurysm: A comparison between a healthy and diseased model

2021 3rd Novel Intelligent and Leading Emerging Sciences Conference (NILES), 2021

Research paper thumbnail of A Barotropic Model of the Red Sea Circulation

ISRN Civil Engineering, 2012

A linear depth-averaged numerical model of the horizontal barotropic circulation of the Red Sea i... more A linear depth-averaged numerical model of the horizontal barotropic circulation of the Red Sea is developed. The flow considered is incompressible, quasi-steady and free from vertical buoyancy currents and horizontal density currents. The model predicts general water circulation as affected by friction stresses at the irregular Red Sea bottom and coastal features, variable Coriolis force, vertical, and lateral turbulent friction, and seasonal non-uniformity of wind stress at the sea surface. The implicit finite-difference solution of the boundary value problem is verified with previous solutions for a rectangular constant-depth sea and for an elliptical lake with uniformly-sloping bottom topography. The model output is shown as plots of seasonally-averaged mass-transport vectors and circulation streamlines in the Red Sea basin.

Research paper thumbnail of Analytic and numeric analysis for deformation of non-prismatic beams resting on elastic foundations

Beni-Suef University Journal of Basic and Applied Sciences, 2021

Background The buckling load as well as the natural frequency under axial load for non-prismatic ... more Background The buckling load as well as the natural frequency under axial load for non-prismatic beam is a changeling problem. Determination of buckling load, natural frequency, and elastic deflection is very important in civil applications. The current paper used both perturbation method (PM), analytic method, and differential quadrature method (DQM), numerical method, to find buckling load and natural frequency with different end supports. The deflection of the beam resting on an elastic foundation under transverse distributed and axial loads is also obtained. Both PM and DQM are used for non-prismatic beams with rectangular and circular cross sections in the vibration analysis. The comparisons of results obtained from both PM and DQM showed perfect agreement with analytical solution for uniform beams with different end supports. The PM and DQM succeeded powerfully for investigating the buckling load as well as the natural frequency for non-prismatic beam. Results The percentage o...