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| 1 | Nonlinear vibration of an elastically restrained tapered beam显示文摘This paper presents the analytical simulation of an elastically restrained tapered cantilever beam using the energy balance method(EBM) and the iteration perturbation method(IPM).To assess the accuracy of solutions,we compare the results with the harmonic balance method(HBM).The obtained results from EBM and IPM are in excellent agreement with HBM results.The results show that both methods can be easily extended to other nonlinear oscillations and it can be predicted that both methods can be found widely applicable in engineering and physics. | KARIMPOUR S. GANJI S.S. BARARI A. IBSEN L.B. DOMAIRRY G. | 2012 | Science China(Physics,Mechanics & Astronomy)2012，55，10： | 2 |
| 2 | Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medi- um显示文摘 | Ziabakhsh Z Domairry G Bararnia H Babazadeh H | 2010 | Journal of the Taiwan Institute of Chemical Engineers2010，41，1： | 1 |
| 3 | Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method 显示文摘 | Rashidi M M Domairry G Dinarvand S | 2009 | Communication in Nonlinear Science and Numerical Simulation2009，，14： | 1 |
| 4 | Analytical solution of flow and diffusion of chemically reactive species over a nonlinearly stretching sheet immersed in a porous medi- um显示文摘 | Ziabakhsh Z Domairry G Bararnia H Babazadeh H | 2010 | Journal of the Taiwan Institute of Chemical Engineers2010，41，1： | 1 |
| 5 | Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method显示文摘 | Rashidi M M Domairry G Dinarvand S | 2009 | Comm in Nonlinear Sci and Nume Sim2009，14，3： | 1 |
| 6 | Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method显示文摘 | Rashidi M M Domairry G Dinarvand S | | 0，，： | 1 |
| 7 | Ebrahimpour, approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution显示文摘 | Fakhari A Domairry G | 2007 | Phys Lett A2007，368，12： | 1 |
| 8 | Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation显示文摘 | Domairry G Nadim N | 2008 | Internat Commun Heat Mass Transfer2008，35，1： | 1 |
| 9 | The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow显示文摘 | Domairry G Mohsenzadeh A Famouri M | 2009 | Communications in Nonlinear Science and Numerical Simulation2009，14，1： | 1 |
| 10 | Approximate solutions for the Burgers' fluid and regularized long wave equations by means of the homotopy analysis method 显示文摘 | RASHIDI M M DOMAIRRY G DINARVAND S | 2009 | Comm Nonlinear Sci Num Sim2009，14，： | 1 |
| 11 | Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method显示文摘 | Rashidi M M Domairry G Dinarvand S | 2009 | Communications in Nonlinear Science and Numerical Simulation Available online 179 October 20072009，14，3： | 1 |
| 12 | Homotopy analysis method to determine the fin efficiency of convective straight fins with thermal conductivity显示文摘 | Domairry G Fazeli M | 2009 | Communications in Nonlinear Science and Numerical Simulation Available online 29 September 20072009，14，2： | 1 |
| 13 | Approximate solutions for the Burger and regularized long wave equations by means of the homotopy analysis method 显示文摘 | Rashidi M M Domairry G Dinarvand S | 2009 | Communications in nonlinear science and numerical simulation2009，14，： | 1 |
| 14 | Analytical treatment on magnetohydrodynamic (MHD) flow and heat transfer due to a stretching hollow cylinder 显示文摘 | JONEIDI A A DOMAIRRY G BABAELAHI M MOZAFFARI M | 2010 | International Journal for Numerical Methods in Fluids2010，63，： | 1 |
| 15 | Analytical solution of heat transfer over an unsteady stretching permeable surface with prescribed wall temperature显示文摘 | Z Ziabakhsh G Domairry M Mozaffari | 2010 | Journal of the Taiwan Institute of Chemical Engi- neers2010，，： | 1 |
| 16 | Analytical study on accelerating falling of non-spherical particle in viscous fluid显示文摘Unsteady motion of a vertically falling non-spherical particle has attracted considerable attention due to its frequent applications in nature and industry.A series of semi-analytical methods have been used to raise the results' accuracy as well as widening the region of convergence.The current study pursued a new analytical solution for the unsteady motion of a rigid non-spherical particle in a quiescent Newtonian fluid,based on the Optimal Homotopy Analysis Method.With a view towards obtaining the highest level of accuracy and ensuring the convergence of the analytical results,the averaged residual errors were obtained and minimized.In addition to flexibility,it was also proven that the proposed method can lead to completely reliable and precisely accurate results.Based on the series solution,the effects of physical parameters on the terminal settling velocity(i.e.the greatest velocity that a falling body may reach)and the acceleration time(i.e.the time that a particle reaches the settling velocity) are investigated. | Amir MALVANDI Davood Domairry GANJI Ali MALVANDI | 2014 | International Journal of Sediment Research2014，29，3： | 1 |
| 17 | An analytical solution for boundary layer flow of a nanofluid past a stretching sheet 显示文摘 | Hassani M Tabar M M Nemati H Domairry G Noori F | 2011 | International Journal of Thermal Sci-ences2011，50，11： | 1 |
| 18 | Numerical simulation of electric field in complex geometries for different electrode ar- rangements using meshless local MQ-DQ method 显示文摘 | JALAAL M SOLEIMANI S DOMAIRRY G | 2011 | Journal of Electrostatics2011，69，3： | 1 |
| 19 | Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method显示文摘In the current work, transient heat conduction in a semi-infinite medium is considered for its many applications in various heat fields. Here, the homotopy analysis method (HAM) is applied to solve this problem and analytical results are compared with those of the exact and integral methods results. The results show that the HAM can give much better approximations than the other approximate methods. Changes in heat fluxes and profiles of temperature are obtained at different times and positions for copper, iron and aluminum. | A. Rezania A. Ghorbali G. Domairry H. Bararnia | 2008 | Applied Mathematics and Mechanics(English Edition)2008，29，12： | 0 |
| 20 | Mathematical modeling of fractional derivatives for magnetohydrodynamic fluid flow between two parallel plates by the radial basis function method显示文摘Investigations into the magnetohydrodynamics of viscous fluids have become more important in recent years,owing to their practical significance and numerous applications in astro-physical and geo-physical phenomena.In this paper,the radial base function was utilized to answer fractional equation associated with fluid flow passing through two parallel flat plates with a magnetic field.The magnetohydrodynamics coupled stress fluid flows between two parallel plates,with the bottom plate being stationary and the top plate moving at a persistent velocity.We compared the radial basis function approach to the numerical method(fourth-order Range-Kutta)in order to verify its validity.The findings demonstrated that the discrepancy between these two techniques is quite negligible,indicating that this method is very reliable.The impact of the magnetic field parameter and Reynolds number on the velocity distribution perpendicular to the fluid flow direction is illustrated.Eventually,the velocity parameter is compared for diverse conditionsα,Reynolds and position(y),the maximum of which occurs atα=0.4.Also,the maximum velocity values occur inα=0.4 and Re=1000 and the concavity of the graph is less forα=0.8. | Saman Hosseinzadeh Seyed Mahdi Emadi Seyed Mostafa Mousavi Davood Domairry Ganji | 2022 | Theoretical & Applied Mechanics Letters2022，12，4： | 0 |
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