Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity
Abstract The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the go...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s42787-019-0062-5 |
| _version_ | 1818611812489232384 |
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| author | M. Ferdows M. G. Murtaza MD. Shamshuddin |
| author_facet | M. Ferdows M. G. Murtaza MD. Shamshuddin |
| author_sort | M. Ferdows |
| collection | DOAJ |
| description | Abstract The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters. |
| first_indexed | 2024-12-16T15:36:17Z |
| format | Article |
| id | doaj.art-7a77ce9789ed4c5d80a0793f312df60c |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-16T15:36:17Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-7a77ce9789ed4c5d80a0793f312df60c2022-12-21T22:26:09ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282019-12-0127111110.1186/s42787-019-0062-5Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivityM. Ferdows0M. G. Murtaza1MD. Shamshuddin2Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of DhakaDepartment of Mathematics, Comilla UniversityDepartment of Mathematics, Vaagdevi College of EngineeringAbstract The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.https://doi.org/10.1186/s42787-019-0062-5Internal heat generationVariable viscosityMapleLie group transformation |
| spellingShingle | M. Ferdows M. G. Murtaza MD. Shamshuddin Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity Journal of the Egyptian Mathematical Society Internal heat generation Variable viscosity Maple Lie group transformation |
| title | Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| title_full | Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| title_fullStr | Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| title_full_unstemmed | Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| title_short | Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| title_sort | effect of internal heat generation on free convective power law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity |
| topic | Internal heat generation Variable viscosity Maple Lie group transformation |
| url | https://doi.org/10.1186/s42787-019-0062-5 |
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