Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method
In this paper, the recently developed New Modified Differential Transform-Decomposition Method is applied for the first time for solving the magneto-hydrodynamic flow problem of a Newtonian fluid along an infinite vertical plate. The plate is assumed to be immersed in a porous medium and is subjecte...
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Elsevier
2025-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025001719 |
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| author | Helena Nayar Patrick Azere Phiri |
| author_facet | Helena Nayar Patrick Azere Phiri |
| author_sort | Helena Nayar |
| collection | DOAJ |
| description | In this paper, the recently developed New Modified Differential Transform-Decomposition Method is applied for the first time for solving the magneto-hydrodynamic flow problem of a Newtonian fluid along an infinite vertical plate. The plate is assumed to be immersed in a porous medium and is subjected to a transverse magnetic field. Induced magnetic and electric fields are ignored, just as radiative heat flux is considered to be negligible. Presence of heat sink and first order chemical reaction are assumed. No slip boundary conditions are considered at the plate. The solutions obtained are validated by comparing them with Laplace Transform solutions from a previous study. The heat and mass transfer properties of the flow are analyzed for various parameters with the help of 2d plots. Influence of the parameters on skin friction, Nusselt number and Sherwood number is also studied. The method is found to be applicable directly to the boundary value problem, and successful in producing analytic solutions. |
| format | Article |
| id | doaj-art-469540c37b0f41c6acc798bc404bd4fd |
| institution | Kabale University |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj-art-469540c37b0f41c6acc798bc404bd4fd2025-01-24T04:45:38ZengElsevierResults in Engineering2590-12302025-03-0125104083Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition methodHelena Nayar0Patrick Azere Phiri1Corresponding author.; Mathematics Department, School of Mathematics and Natural Sciences, The Copperbelt University, Jambo Drive, Riverside, Kitwe, 50100, ZambiaMathematics Department, School of Mathematics and Natural Sciences, The Copperbelt University, Jambo Drive, Riverside, Kitwe, 50100, ZambiaIn this paper, the recently developed New Modified Differential Transform-Decomposition Method is applied for the first time for solving the magneto-hydrodynamic flow problem of a Newtonian fluid along an infinite vertical plate. The plate is assumed to be immersed in a porous medium and is subjected to a transverse magnetic field. Induced magnetic and electric fields are ignored, just as radiative heat flux is considered to be negligible. Presence of heat sink and first order chemical reaction are assumed. No slip boundary conditions are considered at the plate. The solutions obtained are validated by comparing them with Laplace Transform solutions from a previous study. The heat and mass transfer properties of the flow are analyzed for various parameters with the help of 2d plots. Influence of the parameters on skin friction, Nusselt number and Sherwood number is also studied. The method is found to be applicable directly to the boundary value problem, and successful in producing analytic solutions.http://www.sciencedirect.com/science/article/pii/S2590123025001719NMDT-D methodMHD flowNatural convectionPorous mediumHeat and mass transferGrashoff number |
| spellingShingle | Helena Nayar Patrick Azere Phiri Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method Results in Engineering NMDT-D method MHD flow Natural convection Porous medium Heat and mass transfer Grashoff number |
| title | Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method |
| title_full | Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method |
| title_fullStr | Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method |
| title_full_unstemmed | Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method |
| title_short | Investigation of heat and mass transfer of free convective MHD flow along a vertical plate in a porous medium using the new modified differential transform-decomposition method |
| title_sort | investigation of heat and mass transfer of free convective mhd flow along a vertical plate in a porous medium using the new modified differential transform decomposition method |
| topic | NMDT-D method MHD flow Natural convection Porous medium Heat and mass transfer Grashoff number |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025001719 |
| work_keys_str_mv | AT helenanayar investigationofheatandmasstransferoffreeconvectivemhdflowalongaverticalplateinaporousmediumusingthenewmodifieddifferentialtransformdecompositionmethod AT patrickazerephiri investigationofheatandmasstransferoffreeconvectivemhdflowalongaverticalplateinaporousmediumusingthenewmodifieddifferentialtransformdecompositionmethod |