Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body
In this paper, the transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body has been studied numerically. Applying the similarity transformation together with Boussinesq's approximation, the governing PDEs have been modified into ODEs. These equatio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123021000943 |
| _version_ | 1830162452307771392 |
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| author | Md Hasanuzzaman Md Ahasan Kabir Md Tanvir Ahmed |
| author_facet | Md Hasanuzzaman Md Ahasan Kabir Md Tanvir Ahmed |
| author_sort | Md Hasanuzzaman |
| collection | DOAJ |
| description | In this paper, the transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body has been studied numerically. Applying the similarity transformation together with Boussinesq's approximation, the governing PDEs have been modified into ODEs. These equations have been solved by applying the shooting technique with the help of “ODE45 MATLAB” software. The influences of the pertinent parameters/numbers namely transpiration parameter (FW), the radius of slender body (R0), Prandtl number (Pr) and the driving parameter (β) on the velocity and temperature of the fluid within the boundary layer has been analyzed. The velocity and temperature decrease with increasing the values of the suction parameter but a reverse trend is found for increasing values of blowing parameter from the wall to the free stream. Rising values of the suction parameter (0.5–1.0) increase the local skin friction and the heat transfer rate by approximately about 35% and 31%. The velocity of the fluid decreases for uplifting values of the kinematic viscosity. When the thermal conductivity decreases then the temperature of the fluid decreases. Rising values of the body radius parameter the skin-friction and the rate of heat transfer increase. |
| first_indexed | 2024-12-17T15:19:32Z |
| format | Article |
| id | doaj.art-5c7bdc209e4a4cbbbf6e19eb6de6e5ff |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-12-17T15:19:32Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-5c7bdc209e4a4cbbbf6e19eb6de6e5ff2022-12-21T21:43:26ZengElsevierResults in Engineering2590-12302021-12-0112100293Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender bodyMd Hasanuzzaman0Md Ahasan Kabir1Md Tanvir Ahmed2Corresponding author.; Department of Mathematics, Khulna University of Engineering & Technology, Khulna, 9203, BangladeshDepartment of Mathematics, Khulna University of Engineering & Technology, Khulna, 9203, BangladeshDepartment of Mathematics, Khulna University of Engineering & Technology, Khulna, 9203, BangladeshIn this paper, the transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body has been studied numerically. Applying the similarity transformation together with Boussinesq's approximation, the governing PDEs have been modified into ODEs. These equations have been solved by applying the shooting technique with the help of “ODE45 MATLAB” software. The influences of the pertinent parameters/numbers namely transpiration parameter (FW), the radius of slender body (R0), Prandtl number (Pr) and the driving parameter (β) on the velocity and temperature of the fluid within the boundary layer has been analyzed. The velocity and temperature decrease with increasing the values of the suction parameter but a reverse trend is found for increasing values of blowing parameter from the wall to the free stream. Rising values of the suction parameter (0.5–1.0) increase the local skin friction and the heat transfer rate by approximately about 35% and 31%. The velocity of the fluid decreases for uplifting values of the kinematic viscosity. When the thermal conductivity decreases then the temperature of the fluid decreases. Rising values of the body radius parameter the skin-friction and the rate of heat transfer increase.http://www.sciencedirect.com/science/article/pii/S2590123021000943TranspirationNatural convectionSlender bodyBoussinesq approximation |
| spellingShingle | Md Hasanuzzaman Md Ahasan Kabir Md Tanvir Ahmed Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body Results in Engineering Transpiration Natural convection Slender body Boussinesq approximation |
| title | Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| title_full | Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| title_fullStr | Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| title_full_unstemmed | Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| title_short | Transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| title_sort | transpiration effect on unsteady natural convection boundary layer flow around a vertical slender body |
| topic | Transpiration Natural convection Slender body Boussinesq approximation |
| url | http://www.sciencedirect.com/science/article/pii/S2590123021000943 |
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