Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium
This study looks at how thermal and mass stratification affect the unsteady flow past an infinitely fast-moving vertical plate when the temperature is changing and there is exponential mass diffusion in a porous medium. By applying the Laplace transformation method, we determine the solutions to th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
V.N. Karazin Kharkiv National University Publishing
2023-12-01
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| Series: | East European Journal of Physics |
| Subjects: | |
| Online Access: | https://periodicals.karazin.ua/eejp/article/view/22157 |
| _version_ | 1827614294947135488 |
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| author | Himangshu Kumar Rudra Kanta Deka |
| author_facet | Himangshu Kumar Rudra Kanta Deka |
| author_sort | Himangshu Kumar |
| collection | DOAJ |
| description |
This study looks at how thermal and mass stratification affect the unsteady flow past an infinitely fast-moving vertical plate when the temperature is changing and there is exponential mass diffusion in a porous medium. By applying the Laplace transformation method, we determine the solutions to the equations that govern the system for the case of unitary Prandtl and Schmidt numbers. Graphical representations of the concentration, temperature, and velocity profiles, as well as the Nusselt Number, Sherwood number, and the Skin friction are provided to facilitate discussion of the cause of the different variables. To see the effects of thermal and mass stratification on the fluid flow, we compare the classical solution (Fluid with out stratification) with the primary solution (Fluid with the stratification) by using graph. The combined effects of the two stratification lead to a quicker approach to steady states. The outcomes can be helpful for heat exchange design and other engineering applications.
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| first_indexed | 2024-03-09T08:52:51Z |
| format | Article |
| id | doaj.art-271f8fcbf61149a0a476106213e5314e |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-03-09T08:52:51Z |
| publishDate | 2023-12-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-271f8fcbf61149a0a476106213e5314e2023-12-02T13:52:23ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392023-12-01410.26565/2312-4334-2023-4-09Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous MediumHimangshu Kumar0Rudra Kanta Deka1Department of Mathematics, Gauhati University, Guwahati, Assam, IndiaDepartment of Mathematics, Gauhati University, Guwahati, Assam, India This study looks at how thermal and mass stratification affect the unsteady flow past an infinitely fast-moving vertical plate when the temperature is changing and there is exponential mass diffusion in a porous medium. By applying the Laplace transformation method, we determine the solutions to the equations that govern the system for the case of unitary Prandtl and Schmidt numbers. Graphical representations of the concentration, temperature, and velocity profiles, as well as the Nusselt Number, Sherwood number, and the Skin friction are provided to facilitate discussion of the cause of the different variables. To see the effects of thermal and mass stratification on the fluid flow, we compare the classical solution (Fluid with out stratification) with the primary solution (Fluid with the stratification) by using graph. The combined effects of the two stratification lead to a quicker approach to steady states. The outcomes can be helpful for heat exchange design and other engineering applications. https://periodicals.karazin.ua/eejp/article/view/22157Unsteady flowPorous MediumThermal StratificationMass StratificationAccelerated plate |
| spellingShingle | Himangshu Kumar Rudra Kanta Deka Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium East European Journal of Physics Unsteady flow Porous Medium Thermal Stratification Mass Stratification Accelerated plate |
| title | Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium |
| title_full | Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium |
| title_fullStr | Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium |
| title_full_unstemmed | Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium |
| title_short | Thermal and Mass Stratification Effects on Unsteady Flow Past an Accelerated Infinite Vertical Plate with Variable Temperature and Exponential Mass Diffusion in Porous Medium |
| title_sort | thermal and mass stratification effects on unsteady flow past an accelerated infinite vertical plate with variable temperature and exponential mass diffusion in porous medium |
| topic | Unsteady flow Porous Medium Thermal Stratification Mass Stratification Accelerated plate |
| url | https://periodicals.karazin.ua/eejp/article/view/22157 |
| work_keys_str_mv | AT himangshukumar thermalandmassstratificationeffectsonunsteadyflowpastanacceleratedinfiniteverticalplatewithvariabletemperatureandexponentialmassdiffusioninporousmedium AT rudrakantadeka thermalandmassstratificationeffectsonunsteadyflowpastanacceleratedinfiniteverticalplatewithvariabletemperatureandexponentialmassdiffusioninporousmedium |