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Analysis of (3 + 1)-dimensional unsteady gas flow using optimal system of Lie symmetries
Faculty
Engineering
Year:
2019
Type of Publication:
ZU Hosted
Pages:
Authors:
Ahmed Saad Rashed Rashed Elsahar
Staff Zu Site
Abstract In Staff Site
Journal:
Mathematics and Computers in Simulation Elsevier
Volume:
Keywords :
Analysis , , , 1)-dimensional unsteady , flow using optimal
Abstract:
Unsteady gas flow in (3+1)-dimensions is studied and analyzed here using an optimal system of Lie symmetry vectors. The governing equations admit thirteen Lie dimensions space. An optimal system of linear combinations of these vectors was formulated to determine the most suitable combinations for solving the governing equations. Unique, double, triple and quadruple combinations were used here to detect analytical solutions. Adiabatic index effect on the attained velocity, density and pressure profiles was also studied. Analysis of the results showed that the velocity profile components increase throughout increasing a distinct spatial variable and throughout the increment of adiabatic index. For density and pressure distributions, analysis of some obtained cases leads to that both of them decrease throughout increment in spatial variable or adiabatic index as long as the solution is non-singular. In case of singular solutions at zero, a reverse result was obtained.
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Department Related Publications
Salwa Amien Mohamed ebrhiem, "Adaptive FAS-Multigrid Method for Nonlinear Elliptic Equations on Unstructured Grids", لايوجد, 1900
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Amr Mohamed Salaheldeen Abdelaziem Mohamed, "Evaluation o Green's unction derivatives or exponentially graded elasticity", لايوجد, 1900
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Rania Bahgat Mohamed Amer, "An Efficient Method To Solve Thermal Wave Equations", Published by Scientific Research Publishing, 2014
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