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Ibrahim, M. M., and M. M. Kasem, "NUMERICAL THERMAL STUDY OF HEAT TRANSFER ENHANCEMENT IN LAMINAR-TURBULENT TRANSITION FLOW THROUGH ABSORBER PIPE OF PARABOLIC SOLAR TROUGH COLLECTOR SYSTEM", Frontiers in Heat and Mass Transfer, vol. 20, issue 17, pp. 1-11, 2021.
Abd-El-Hafiz, S. K., G. A. F. Ismail, B. S. Matit, and A. F. S. Heliopolis, "A numerical technique for the 3-D Poisson equation", International Journal of Pure and Applied Mathematics, vol. 7: Academic Publications, pp. 263-270, 2003. Abstract
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Mabrouk, W. M., and K. S. Soliman, "A numerical technique for an accurate determination of formation resistivity factor using FR-RO overlays method", Arabian Journal of Geosciences, issue 10.1007/s12517-014-1311-4, 2014. a_numerical_technique_for_an_accurate_determination.pdf
Soliman, A. T., R. S. Hamdy, and R. A. Mahdy, "NUMERICAL TAXONOMY OF GENUS FICUS L. 1753 (MORACEAE), WITH ADDITION NEW RECORD SPECIES TO EGYPT", Bull. Iraq nat. Hist. Mus., vol. 16, issue 4, pp. 429-467, 2021.
Abdel-Khalik, K., M. M. Abd El-Ghani, and A. El Kordy, "Numerical taxonomy of Galium (Rubiaceae) in Egypt", Phytologia Balcanica , vol. 14, issue 2, pp. 245-253, 2008. numerical_taxonomy_of_galium_phyt_balc..pdf
Abdel-Khalik, K., M. M. Abd El-Ghani, and A. El Kordy, "Numerical taxonomy of Galium (Rubiaceae) in Egypt", Phytologia Balcanica, vol. 14, issue 2, pp. 245-253, 2008. numerical_taxonomy_of_galium_phyt_balc..pdf
Abohadima, S., D. El-Bagoury, and K. Rakha, "Numerical Study on the use of Low Crested Detached Breakwaters along the Northern Coast of Egypt", British Journal of Applied Science & Technology, vol. 60, issue 2, pp. 350-370., 2013. Abstractabohadima422013bjast5488_1.pdfWebsite

Many resorts were constructed along the northern coast of Egypt for recreational purposes. High waves often occur in the used-zone leading to uncomfortable conditions. Moreover, the resulting longshore current with high speeds due to wave breaking leads to undesirable current flow. Rip currents generated in the used-zone can also be a hazard to swimmers This study aims at testing the possibility of using detached low crested submerged breakwaters to provide suitable swimming conditions along the northern coast
of Egypt. Detached low crested submerged breakwaters are considered as they do not obstruct the sea view and have lower negative impacts on the environment. This study attempts to provide a numerical examination for several configurations using different breakwater and the gap lengths. Three numerical models were used; refraction diffraction model for waves, hydrodynamic model for current circulation and one line model for shoreline movement. The best breakwater configuration to provide safe swimming area is recommended with an assessment of the negative impact on the shoreline stability. This study will be useful for the recreational resorts along the northern coast of Egypt.

Ding, F., T. Yamashita, H. S. Lee, and M. Haggag, "Numerical study on the tidal effect of seawater intrusion in Liao Dong Bay coastal plain, china", Sixth International Conference on Asian and Pacific Coasts (APAC 2011), Hong Kong, China, 14 Dec. , 2011.
Serror, H. M., G. E. Soliman, and F. A. Hassan, "Numerical Study on the Rotation Capacity of CFRP Strengthened Cold Formed Steel Beams", Steel and Composite Structures, an International Journal, vol. 23, issue 4, pp. 385-397, 2017.
Yehia, M. A., A. M. El Kady, S. L. El Haw, and M. M. Kamel, "Numerical Study on the effect of Ceiling Obstruction on the Transient Development of Fires", The Second Mediterranean Combustion Symposium, Sharm El-Sheikh, Egypt, vol. 78, pp. 299–309, 2002. Abstract
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Serror, M. H., A. M. Nabil, and S. A. Mourad, "Numerical study on buckling of steel web plates with openings", Steel and Composite Structures, vol. 22, issue 6, pp. 1417-1443, 2016.
Serror, M. H., A. N. Hamed, and S. A. Mourad, "Numerical Study on Buckling of Steel Web Plates with Openings", Steel and Composite Structures, vol. 22, issue 6, pp. 1417-1443, 2016. published_paper_scs2206009.pdf
El-Azab, J., H. Kandel, M. Khedr, and H. El-Ghandoor, "Numerical Study of Transient Temperature Distribution in Passively Q-switched Yb:YAG Solid-State Laser”", Optics and Photonics Journal, vol. 4, pp. 46-53, 2014.
Gamal, Y. E. E. - D., and A. O. Nassef, "Numerical study of threshold intensity dependence on gas pressure in the breakdown of molecular hydrogen induced by excimer laser", Physics of Plasmas 24, 103503 (2017);, vol. 24 , pp. 103503-1 103503-10, 2017. h2_paper.pdf
Daoud, J. M., A. N. A. El-Fotouh, and Y. E. Gamal, "Numerical study of the wavelength dependence on the threshold intensity in laser induced breakdown of N2. ", XXIJI ICPIG 17 - 22 July , (Toulouse, France ) , V, pp. 88- 89, 1997. 24_icpig_proceeding_vol_5_page__88_1997.pdf
Farouk, M. I., A. F. Nassar, and M. H. Elgamal, "Numerical Study of the Transmission of Exhaled Droplets between the Instructor and Students in a Typical Classroom", Applied Sciences, vol. 11, issue 20, pp. 9767, 2021.
Hamam, K. A., G. Abdellatif, and Y. E. E. - D. Gamal, "Numerical Study of the Threshold Intensity Dependence on Wavelength in Laser Spark Ignition of Molecular Hydrogen Combustion", Journal of Modern Physics, vol. 4, pp. 311-320, 2013. Abstractjmp_hydrogen_published_paper_2013.pdf

A numerical investigation of laser wavelength dependence on the threshold intensity of spark ignition in molecular hy- drogen over a wide pressure range is presented. A modified electron cascade model (Gamal et al., 1993) is applied un- der the experimental conditions that carried out by Phuoc (2000) to determine the threshold intensity dependence on gas pressure for spark ignition in hydrogen combustion using two laser wavelengths namely; 1064 nm and 532 nm. The model involves the solution of the time dependent Boltzmann equation for the electron energy distribution function (EEDF) and a set of rate equations that describe the change of the formed excited molecules population. The model takes into account most of the physical processes that expected to occur in the interaction region. The results showed good agreement between the calculated thresholds for spark ignition and those measured ones for both wavelengths, where the threshold intensities corresponding to the short wavelength (532 nm) are found to be higher than those calcu- lated for the longer one (1064 nm). This result indicates the depletion of the high density of low energy electrons gener- ated through multi-photon ionization at the short wavelength via electron diffusion and vibrational excitation. The study of the EEDF and its parameters (viz, the temporal evolution of: the electron density, ionization rate electron mean en- ergy, …) revealed the important role played by each physical process to the spark ignition as a function of both laser wavelength and gas pressure. More over the study of the time variation of the EEDF explains the characteristics of the ignited spark at the two wavelengths for the tested pressure values.

Hamam, K. A., G. Abdellatif, and Y. E. E. - D. Gamal, "Numerical Study of the Threshold Intensity Dependence on Wavelength in Laser Spark Ignition of Molecular Hydrogen Combustion", Journal of Modern Physics, vol. 4, pp. 311-320, 2013. Abstractjmp_hydrogen_published_paper_2013.pdf

A numerical investigation of laser wavelength dependence on the threshold intensity of spark ignition in molecular hy- drogen over a wide pressure range is presented. A modified electron cascade model (Gamal et al., 1993) is applied un- der the experimental conditions that carried out by Phuoc (2000) to determine the threshold intensity dependence on gas pressure for spark ignition in hydrogen combustion using two laser wavelengths namely; 1064 nm and 532 nm. The model involves the solution of the time dependent Boltzmann equation for the electron energy distribution function (EEDF) and a set of rate equations that describe the change of the formed excited molecules population. The model takes into account most of the physical processes that expected to occur in the interaction region. The results showed good agreement between the calculated thresholds for spark ignition and those measured ones for both wavelengths, where the threshold intensities corresponding to the short wavelength (532 nm) are found to be higher than those calcu- lated for the longer one (1064 nm). This result indicates the depletion of the high density of low energy electrons gener- ated through multi-photon ionization at the short wavelength via electron diffusion and vibrational excitation. The study of the EEDF and its parameters (viz, the temporal evolution of: the electron density, ionization rate electron mean en- ergy, …) revealed the important role played by each physical process to the spark ignition as a function of both laser wavelength and gas pressure. More over the study of the time variation of the EEDF explains the characteristics of the ignited spark at the two wavelengths for the tested pressure values.
Keywords: Laser Wavelength; Hydrogen Gas; Threshold Intensity; Electron

Khader, M. M., and M. Adel, "Numerical study of the fractional modeling on SIR equations with constant vaccination rate using GEM", International Journal of Nonlinear Sciences and Numerical Simulation, vol. 20, issue 1, pp. 69-76, 2019. 17-_sirc_gem.pdf
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