Abstract
Recently significant patents have been devoted to plane wall jet systems. In this paper, the self-similar wall jet over an impermeable, resting plane surface known as the Glauert-jet is analyzed. The DTM and Pade Approximant were used to find analytical solution. In order to verify the accuracy of the proposed method, the resultant data were then compared with previously obtained results using the homotopy analysis method (HAM), method of weighted residuals method (MWR), variational iteration method (VIM) and exact solution. It can be concluded that the DTM-Pade can achieve more reliable results in calculating the solution of such problems.
Keywords: Boundary layer, differential transformation method (DTM), exact solution, exponentially decaying wall jet, Glauert- jet problem, non-linear differential equation, Pade Approximant
Recent Patents on Mechanical Engineering
Title:Application of Differential Transformation Method and Pade Approximant for the Glauert-Jet Problem
Volume: 5 Issue: 2
Author(s): Mohsen Torabi, Hessameddin Yaghoobi and Abdolhosein Fereidoon
Affiliation:
Keywords: Boundary layer, differential transformation method (DTM), exact solution, exponentially decaying wall jet, Glauert- jet problem, non-linear differential equation, Pade Approximant
Abstract: Recently significant patents have been devoted to plane wall jet systems. In this paper, the self-similar wall jet over an impermeable, resting plane surface known as the Glauert-jet is analyzed. The DTM and Pade Approximant were used to find analytical solution. In order to verify the accuracy of the proposed method, the resultant data were then compared with previously obtained results using the homotopy analysis method (HAM), method of weighted residuals method (MWR), variational iteration method (VIM) and exact solution. It can be concluded that the DTM-Pade can achieve more reliable results in calculating the solution of such problems.
Export Options
About this article
Cite this article as:
Torabi Mohsen, Yaghoobi Hessameddin and Fereidoon Abdolhosein, Application of Differential Transformation Method and Pade Approximant for the Glauert-Jet Problem, Recent Patents on Mechanical Engineering 2012; 5 (2) . https://dx.doi.org/10.2174/2212797611205020150
DOI https://dx.doi.org/10.2174/2212797611205020150 |
Print ISSN 2212-7976 |
Publisher Name Bentham Science Publisher |
Online ISSN 1874-477X |
Call for Papers in Thematic Issues
Bio-inspired Optoelectronics for Solar Energy Conversion
The development and manufacture of micro/nanostructures on optoelectronic materials and protection layers to provide a range of capabilities have been made possible by bio-inspiration and advancements in nanomanufacturing methods. These designed surfaces may be employed in both conventional rigid structures and the new flexible variants in numerous optoelectronic devices, including ...read more
Enhancing the Design and Performance of Composite Materials by utilizing the Synergy of Modelling, Experiments, and Collaboration Across Multiple Disciplines
Explore the future of new materials in our special issue called "Enhancing the Design and Performance of Composite Materials." This collection combines cutting-edge modelling, real-world tests, and brilliant teamwork across fields to unleash a symphony of insights. Explore how this synergy changes composite materials, from amazing spacecraft to medical breakthroughs. ...read more
Micro-/Nano-scale Heat Transfer and Flow
Micro-/Nano-scale heat transfer and flow are seen in many mechanical and electronic equipment and systems, and thus have attracted a great deal of attention. With advances in manufacturing technologies, an increasing number of microstructures have been used to control the micro-/nano-scale heat transfer and flow in recent decades. For example, ...read more
New Materials and Manufacturability
The aircraft industry is striving towards stronger, lighter, and more heat-resistant materials that would reduce emissions, lower fuel costs, and permit faster speeds in the current day. Composites have thus far been the preferred material in the aviation sector. A commercial aeroplane like the Dreamliner nowadays is made up of ...read more
Related Journals
- Author Guidelines
- Graphical Abstracts
- Fabricating and Stating False Information
- Research Misconduct
- Post Publication Discussions and Corrections
- Publishing Ethics and Rectitude
- Increase Visibility of Your Article
- Archiving Policies
- Peer Review Workflow
- Order Your Article Before Print
- Promote Your Article
- Manuscript Transfer Facility
- Editorial Policies
- Allegations from Whistleblowers
- Announcements