Ibrahim Abbas

Department of Mathematics
Faculty of Science
Sohag University
Sohag 82524
Egypt
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Department of Mathematics
Faculty of Science & Arts-Khulais
King AbdulAziz University
Jeddah, Saudi Arabia.
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Ibrahim Abbas, M F El-Amin (2009) Effect of thermal dispersion on free convection in a fluid saturated porous medium International Journal of Applied Mechanics and Engineering 14: 3.: 615--632

Abstract: Abstract: The present article considers a numerical study of the thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. The Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and dispersion thermal diffusivity due to mechanical dispersion. The non-dimensional governing equations are solved by the finite element method (FEM). The resulting non-linear integral equations are linearized and solved by the Newton-Raphson iteration. The finite element implementations are prepared by using the Matlab software packages. Numerical results for the details of the stream function, velocity and temperature contours and profiles as well as heat transfer rate in terms of the Nusselt number, which are shown on graphs, have been presented.

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Journal articles

2013	Rajneesh Kumar, Vijay Chawla, Ibrahim A Abbas (2013) Effect of Viscosity on Wave Propagation in Anisotropic Thermoelastic with Three-Phase-Lag Model Journal Of Theoretical And Applied Mechanics, accepted Abstract: Notes:
	Rajneesh Kumar, Vandana Gupta, Ibrahim A Abbas (2013) Plane deformation due to thermal source in fractional order thermoelastic media Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:
	Ibrahim A Abbas, Rajneesh Kumar (2013) Interaction due to Mechanical Source in Transversely Isotropic Micropolar Media journal vibration and control, accepted Abstract: Notes:
	Ibrahim A Abbas, R Kumar (2013) Deformation due to Thermal Source in Micropolar Thermoelastic Media with Thermal and Conductive Temperatures Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:
	A M El-Naggar, Z Kishka, Ibrahim A Abbas, M Elsagheer (2013) On the initial stress, magnetic field, voids and rotation effects on plane waves in generalized thermoelasticity Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:

	Ibrahim A Abbas, Ashraf M Zenkour (2013) LS model on electro-magneto-thermo-elastic response of an infinite functionally graded cylinder Composite Structures 96: 89-96 Abstract: Notes:
	Ibrahim A Abbas (2013) Two-Temperature Generalized Thermoelastic Interaction in an Infinite Fiber-reinforced Anisotropic Plate Containing a Circular Cavity with two relaxation times Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:
	Ibrahim A Abbas, Hamdy Youssef (2013) Two-Temperature Model on Thermoelastic Interaction in an Isotropic Half-Space Subjected to Ramp-Type Heating Meccanica , accepted Abstract: Notes:
	Ibrahim A Abbas (2013) Fractional Order GN Model on Thermoelastic Interaction in an Infinite Fibre-reinforced Anisotropic Plate Containing a Circular Hole Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:
	Ibrahim A Abbas (2013) Two-temperature Green and Naghdi Model on Thermoelastic Interaction in an Infinite Fibre-reinforced Anisotropic Plate Containing a Circular Hole Journal Of Theoretical And Applied Mechanics, accepted Abstract: Notes:
	Ibrahim A Abbas, salama Amgad, M F El-Amin, Shuyu Sun (2013) Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media International Journal of Thermal Sciences 64: 195-203 Abstract: Notes:
	Ibrahim A Abbas, Ashraf M Zenkour (2013) The effect of rotation and initial stress on thermal shock problem for a fiber-reinforced anisotropic half-space using Green–Naghdi theory Journal of Computational and Theoretical Nanoscience , accepted Abstract: Notes:
	Ibrahim A Abbas, Rajneesh Kumar (2013) Deformation Due to thermal source in Micropolar Generalized Thermoelastic Half-Space by Finite element method Journal of Computational and Theoretical Nanoscience, accepted Abstract: Notes:
	Ibrahim A Abbas (2013) A GN model for thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a circular hole Applied Mathematics Letters 26: 2. 232-239 Abstract: Notes:
2012	M I Othman, Ibrahim A Abbas (2012) Generalized thermoelasticity of thermal shock problem in a non-homogeneous isotropic hollow cylinder with energy dissipation International Journal of Thermophysics 33: 5. 913-923 Abstract: Notes:

	Ibrahim A Abbas, Rajneesh Kumar, Vijay Chawla (2012) Response of Thermal Source in a Transversely Isotropic Thermoelastic Half-Space with Mass Diffusion by Finite element method Chin. Phys. B 21: 8. 084601 Abstract: Notes:
	Ibrahim A Abbas (2012) Generalized Magneto-thermoelastic Interaction in a Fiber-reinforced Anisotropic Hollow Cylinder International Journal of Thermophysics 33: 3. 567-579 Abstract: Notes:
	Ibrahim A Abbas, M I Othman (2012) Generalized Thermoelsticity of Thermal Shock Problem in an Isotropic Hollow Cylinder and Temperature Dependent Elastic Moduli Chin. Phys. B 21: 1. Abstract: Notes:
	Ibrahim A Abbas (2012) Finite element analysis of the generalized thermoelastic interactions in an elastic half space subjected to a ramp-type heating Journal of Physics 1: 2. 3-9 Abstract: Notes:
	Ibrahim A Abbas, Mohamed I A Othman (2012) Generalized thermoelastic interaction in a fibre-reinforced anisotropic half-space under hydrostatic initial stress Journal of Vibration and Control, 18: 2. 175-182. Abstract: Notes:
	Ibrahim A Abbas, Hamdy Youssef (2012) A Non-Linear Generalized Thermoelasticity of Temperature Dependent Materials Using Finite Element Method International Journal of Thermophysics 33: 7. 1302-1312 Abstract: Notes:
	Ibrahim A Abbas, Mohamed I A Othman (2012) Fundamental Solution of Generalized Thermo-viscoelasticity using Finite Element Method Computational Mathematics and Modeling 23: 2. 158-167 Abstract: Notes:
	Ibrahim A Abbas, M I Othman (2012) Plane Waves in Generalized Thermo-microstretch Elastic Solid with Thermal Relaxation using Finite Element Method International Journal of Thermophysics 33: 12. 2407–2423 Abstract: Notes:
	Ibrahim A Abbas (2012) On a Thermoelastic Fractional Order Model Journal of Physics 1: 2. 24-30 Abstract: Notes:
	Ibrahim A Abbas (2012) Torsional Wave Propagation in a Poroelastic Hollow Circular Cylinder Journal of Physics 1: 3. 4-8 Abstract: Notes:

	Ibrahim A Abbas, A N Abdalla (2012) A Two-dimensional Wave Propagation in a Poroelastic Infinite Circular Cylinder Journal of Physics 1: 3. 32-38 Abstract: Notes:
2011	Ibrahim A Abbas (2011) A two-dimensional problem for a fibre-reinforced anisotropic thermoelastic half-space with energy dissipation Sadhana, 36: 3. 411-423 Abstract: Notes:
	A M El-Naggar, Ibrahim A Abbas S Abo-dahab, M Elsagheer (2011) Influence of initial stress as a convective boundary condition on natural frequencies of a poroelastic hollow cylinder Int. review of physics (IREPHY) 5: 6. 402-411 Abstract: Notes:
	Ibrahim A Abbas, Abo-el-nour N Abd-alla (2011) Effect of initial stress on a fibre-reinforced anisotropic thermoelastic thick plate International Journal of Thermophysics, 32: 1071-1085 Abstract: Notes:
	M Othman, Ibrahim Abbas (2011) Effect of rotation on plane waves at the free surface of a fibre-reinforced thermoelastic half-space using the finite element method Meccanica 46: 2. 413-421 Abstract: Notes:
	Ibrahim A Abbas, M El-Amin, Amgad Salama (2011) On the viscous dissipation modeling of thermal fluid flow in a porous medium Archive of Applied Mechanics 81: 12. 1865-1876. Abstract: Notes:
	Ibrahim A Abbas, Abo-el-nour N Abd-alla (2011) A study of generalized thermoelastic interaction in an infinite fibre-reinforced anisotropic plate containing a circular hole Acta Physica Polonica A , 119: 6. 814-818 Abstract: Notes:
	Ibrahim A Abbas, Abo-el-nour N Abd-alla, Mohamed I A Othman (2011) Generalized magneto-thermoelasticity in a fibre-reinforced anisotropic half-space International Journal of Thermophysics, 32: 1098-1110 Abstract: Notes:
	Ibrahim A Abbas, S M Abo-Dahab (2011) LS model on Thermal Shock Problem of Generalized Magneto-thermoelasticity for an Infinitely Long Annular Cylinder with Variable Thermal Conductivity Applied Mathematical Modelling, 35: 8. 3759-3768 Abstract: Notes:
	Ibrahim A Abbas, Mohamed I A Othman (2011) Thermal Shock Problem in a Homogeneous Isotropic Hollow Cylinder with Energy Dissipation Computational Mathematics and Modeling 22: 3. 266-277 Abstract: Notes:

2010	M F El-Amin, Amgad Salama, Ibrahim Abbas (2010) Viscous dissipation effect on natural convection in a fluid saturated porous medium Journal of Porous Media, 13: 31. 989-997 Abstract: Notes:
	Ibrahim Abbas, G Palani (2010) The Effects of Magneto Hydro Dynamic Flow Paste a Vertical Plate with Variable Surface Temperature Applied Mathematics and Mechanics 31: 3. 329-338 Abstract: Notes:
2009	Ibrahim Abbas, M F El-Amin, Amgad Salama (2009) Effect of thermal dispersion on free convection in a fluid saturated porous medium International Journal of Heat and Fluid Flow 30: 2. 229-236 Abstract: Notes:
	Ibrahim Abbas (2009) Generalized magneto-thermoelasticity in a non-homogeneous isotropic hollow cylinder using finite element method Archive of Applied Mechanics 79: 1. 41-50 Abstract: Notes:
	Ibrahim A Abbas, M Othman (2009) Effect of rotation on thermoelstic waves with Green-Naghdi theory in a homogeneous isotropic hollow cylinder Int. J. Industrial Mathematics 1: 2. 121-134 Abstract: Notes:
	G Palani, Ibrahim Abbas (2009) Combined Effects of Magnetohydrodynamics and Radiation Flow Past an Impulsively Started Isothermal Vertical Plate Nonlinear Analysis: Modelling and Control 14: 1. 73–84 Abstract: Notes:
	Ibrahim Abbas, M F El-Amin (2009) Effect of thermal dispersion on free convection in a fluid saturated porous medium International Journal of Applied Mechanics and Engineering 14: 3.: 615--632 Abstract: Abstract: The present article considers a numerical study of the thermal dispersion effect on the non-Darcy natural convection over a vertical flat plate in a fluid saturated porous medium. The Forchheimer extension is considered in the flow equations. The coefficient of thermal diffusivity has been assumed to be the sum of the molecular diffusivity and dispersion thermal diffusivity due to mechanical dispersion. The non-dimensional governing equations are solved by the finite element method (FEM). The resulting non-linear integral equations are linearized and solved by the Newton-Raphson iteration. The finite element implementations are prepared by using the Matlab software packages. Numerical results for the details of the stream function, velocity and temperature contours and profiles as well as heat transfer rate in terms of the Nusselt number, which are shown on graphs, have been presented. Notes:
	Ibrahim Abbas, Hamdy Youssef (2009) Finite Element Method of Two-Temperature Generalized Magneto-Thermoelasticity Archive of Applied Mechanics 79: 10. 917-925 Abstract: Notes:
	R A Mohamed, Ibrahim Abbas, S M Abo-Dahab (2009) Finite Element Analysis of Hydromagnetic Flow and Heat Transfer of a Heat Generation Fluid over a Surface Embeded in a Porous Medium under Influence of Chemical Reaction Communications in Nonlinear Science and Numerical Simulations 14: 4. 1385-1395 Abstract: Notes:
2008	Ibrahim Abbas, M F El-Amin, Amgad Salama (2008) Combined effect of thermal dispersion and radiation on free convection in a fluid saturated, optically thick porous medium Forschung im Ingenierwesen (Engineering Research) 72: 3. 135-144 Abstract: Notes:

	Ibrahim Abbas (2008) Finite element method of thermal shock problem in a non-homogeneous isotropic hollow cylinder with two relaxation times Forschung im Ingenieurwesen "Engineering Research" 72: 2. 101-110 Abstract: Notes:
	Ibrahim Abbas, Abo-el-nour Abd-alla (2008) Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity Archive of Applied Mechanics 78: 4. 283-293 Abstract: Notes:
	M F El-Amin, Ibrahim Abbas, Rama Subba Reddy Gorla (2008) Boundary layer natural convection in a fluid saturated porous medium using finite element method International Journal of Fluid Mechanics Research 35: 5. 445-458 Abstract: Notes:
2007	M F El-Amin, Ibrahim Abbas, Rama Subba Reddy Gorla (2007) Effects of Thermal Radiation on Natural Convection in a Porous Medium International Journal of Fluid Mechanics Research 34: 2. 129-144 Abstract: Notes:
	Hamdy Youssef, Ibrahim Abbas (2007) Thermal Shock Problem of Generalized Thermoelasticity for an Infinitely Long Annular Cylinder with Variable Thermal Conductivity Computational Methods in Science and Technology 13: 2. 95-100 Abstract: Notes:
	Ibrahim Abbas (2007) Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity Forschung im Ingenieurwesen "Engineering Research 71: 3-4. 215-222 Abstract: Notes:
2006	Ibrahim Abbas (2006) Finite Element Analysis of Transient Free Convection Flow over Vertical Plate Forschung im Ingenieurwesen "Engineering Research" 70: 4. 263-268 Abstract: Notes:
	Ibrahim Abbas (2006) Natural frequencies of a poroelastic hollow cylinder Acta Mechanica 186: 1-4. 229-237 Abstract: Notes:
2002	Abo-el-nour N Abd-alla, Ibrahim Abbas (2002) Effect of non-homogeneity on the stresses in a composite cylindrical shell placed in a magnetic field J. Egyptian Math. Soc. 10: 1. 73--85 Abstract: Notes:
	Abo-el-nour N Abd-alla, Ibrahim Abbas (2002) Magnetoelastic longitudinal wave propagation in a transversely isotropic circular cylinder J. Appl. Math. and Comput. 127: (2-3). 347-360 Abstract: Notes:
	Abo-el-nour N Abd-alla, Ibrahim Abbas (2002) A problem of generalized magneto-thermoelasticity for an infinitely long, perfectly conducting cylinder Journal of thermal stress 25: 1009-1025 Abstract: Notes:
Conference papers

2011	Amgad Salama, M F El-Amin, Ibrahim Abbas, S Sun (2011) Comparison study between the effects of different terms contributing to viscous dissipation in saturated porous media In: ICFMHTT 2011:International Conference on Fluid Mechanics, Heat Transfer and Thermodynamics\, Dubai, United Arab Emirates, January 25-27, 2011 Abstract: Notes:
2009	M F El-Amin, Ibrahim Abbas, A A Mohammadein, H Kanayama (2009) Combined Effect of Viscous Dissipation and Thermal Dispersion in a Fluid Saturated Porous Medium Using Finite Element Method In: 15th International Conference on Finite Elements in Flow Problems (FEF09) Chuo University April 1-3, 2009, Tokyo, Japan: IACM Thematic Conference. Abstract: Notes:
2004	A Acatuerk, W Ehlers, Ibrahim Abbas (2004) Modelling of Swelling Phenomena in Charged Hydrated Porous Media In: Proceedings in Applied Mathematics and Mechanics 4 (2004), 292-297. Abstract: Notes:
2003	W Ehlers, A Acatuerk, Ibrahim Abbas, B Markert (2003) A 3-d model for finite viscoelsatic swelling of charged tissues and gels In: Proceedings in Applied Mathematics and Mechanics 3 (2003), 242-243. Abstract: Notes:
	W Ehlers, A Acatuerk, B Markert, Ibrahim Abbas (2003) On swelling phenomena in case of hydrogel and articular cartilage In: Proceedings of the 10th Workshop on the Finite Element Method in Biomedical Engineering, Biomechanics and Releted Fields, Universität Ulm, 2003, 3-9806183-6-6, pp. 1-13. Abstract: Notes:
2000	Abo-el-nour N Abd-alla, Ibrahim Abbas (2000) Effect of non-homogeneity on the stresses in a composite cylindrical shell placed in a magnetic field In: Conference on Mathematics and the 21th Century, Cairo, Egypt, January 15-20 Abstract: Notes:
Masters theses

2000	Ibrahim Abbas (2000) Problems of magneto- and thermomagnetoelasticity for infinite, circular cylindrical bodies Sohag Faculty of Science, South Valley University Egypt: Abstract: Notes:
PhD theses

2004	Ibrahim Abbas (2004) A comparative study of finite element and finite difference schemes applied to multiphasic biomechanical materials Sohag Faculty of Science, South Valley University Egypt Abstract: Notes:

Journal articles

Conference papers

Masters theses

PhD theses