A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk
This paper introduces a new approach to tackle the boundary value problem representing magnetohydrodynamics flow developed by a rotating disk. The problem comprises of a coupled and non-linear differential system which appears difficult to be computed exactly. A contemporary MATLAB's package bv...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2019-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8819974/ |
| _version_ | 1819174607315271680 |
|---|---|
| author | Zeshan Zulifqar Azad Akhter Siddiqui Meraj Mustafa Hashmi |
| author_facet | Zeshan Zulifqar Azad Akhter Siddiqui Meraj Mustafa Hashmi |
| author_sort | Zeshan Zulifqar |
| collection | DOAJ |
| description | This paper introduces a new approach to tackle the boundary value problem representing magnetohydrodynamics flow developed by a rotating disk. The problem comprises of a coupled and non-linear differential system which appears difficult to be computed exactly. A contemporary MATLAB's package bvp4c is used to solve the problem numerically and then, with the help of the numerical solution, a closed-form solution is constructed via a systematic method. All computations are made for a specific value of the magnetic interaction parameter. Residuals of governing equations are plotted which ascertain that the obtained closed-form solution matches closely with the exact solution. |
| first_indexed | 2024-12-22T20:41:40Z |
| format | Article |
| id | doaj.art-29ce8d31260543bf92f4acb39680e8b2 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T20:41:40Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-29ce8d31260543bf92f4acb39680e8b22022-12-21T18:13:19ZengIEEEIEEE Access2169-35362019-01-01712441012441610.1109/ACCESS.2019.29383148819974A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating DiskZeshan Zulifqar0Azad Akhter Siddiqui1Meraj Mustafa Hashmi2https://orcid.org/0000-0003-3017-5971School of Natural Sciences, National University of Sciences and Technology, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Islamabad, PakistanThis paper introduces a new approach to tackle the boundary value problem representing magnetohydrodynamics flow developed by a rotating disk. The problem comprises of a coupled and non-linear differential system which appears difficult to be computed exactly. A contemporary MATLAB's package bvp4c is used to solve the problem numerically and then, with the help of the numerical solution, a closed-form solution is constructed via a systematic method. All computations are made for a specific value of the magnetic interaction parameter. Residuals of governing equations are plotted which ascertain that the obtained closed-form solution matches closely with the exact solution.https://ieeexplore.ieee.org/document/8819974/Closed-form solutionDirichlet conditionsresidual analysis |
| spellingShingle | Zeshan Zulifqar Azad Akhter Siddiqui Meraj Mustafa Hashmi A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk IEEE Access Closed-form solution Dirichlet conditions residual analysis |
| title | A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk |
| title_full | A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk |
| title_fullStr | A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk |
| title_full_unstemmed | A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk |
| title_short | A Novel Approach to Develop a Closed-Form Solution for MHD Flow Induced by a Rotating Disk |
| title_sort | novel approach to develop a closed form solution for mhd flow induced by a rotating disk |
| topic | Closed-form solution Dirichlet conditions residual analysis |
| url | https://ieeexplore.ieee.org/document/8819974/ |
| work_keys_str_mv | AT zeshanzulifqar anovelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk AT azadakhtersiddiqui anovelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk AT merajmustafahashmi anovelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk AT zeshanzulifqar novelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk AT azadakhtersiddiqui novelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk AT merajmustafahashmi novelapproachtodevelopaclosedformsolutionformhdflowinducedbyarotatingdisk |