Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity

Abstract The intricate dynamics of mixed convective thermic and species transport in a power-law flowing fluid through a continuously stretched surface are investigated. The uniqueness of this study lies in the consideration of fluid variable thermic conductivity and viscosity, which introduces a hi...

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Main Authors: T. S. Khaleque, A. Hossain, M. D. Shamshuddin, Mohammad Ferdows, S. O. Salawu, Shuyu Sun
Format: Article
Language:English
Published: Nature Portfolio 2024-10-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-73426-4
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author T. S. Khaleque
A. Hossain
M. D. Shamshuddin
Mohammad Ferdows
S. O. Salawu
Shuyu Sun
author_facet T. S. Khaleque
A. Hossain
M. D. Shamshuddin
Mohammad Ferdows
S. O. Salawu
Shuyu Sun
author_sort T. S. Khaleque
collection DOAJ
description Abstract The intricate dynamics of mixed convective thermic and species transport in a power-law flowing fluid through a continuously stretched surface are investigated. The uniqueness of this study lies in the consideration of fluid variable thermic conductivity and viscosity, which introduces a higher degree of realism into the analysis. The transformation of similarity is used to transform the fundamental governing equations, and after that, the set of equations is processed numerically utilizing a non-similarity local approach. Furthermore, the effects of Soret and Dufour represent the cross-diffusion phenomena, accounting for the energy exchange with the surroundings. These factors collectively influence the stretching surface’s gradient velocity, affecting the thermal and species concentration rates. The findings offer a comprehensive understanding of these complex interactions, paving the way for optimizing thermic and species transport processes in various industrial applications. This study, therefore, holds significant potential for enhancing efficiency and performance in relevant industrial sectors. The main terms are the combinations of Dufour and Soret numbers that significantly impact the flow rate profile and mass transfer field. The coupled study of the nonlinear velocity, energy distribution and chemical mixture variance made the study more impactful in practicality. Skin friction variation shows limited impact with variations in the Soret number. The enhanced thermal gradient results in improved non-similarity parameters, yet it demonstrates a decrease with an increase in variable thermal diffusivity. There is a decrease in the temperature gradient as the buoyancy term reduces, while an increase is observed with changes in the Prandtl number. Similarly, the Nusselt number experiences a comparable impact due to changes in the Soret number.
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spelling doaj-art-bf8b4628fb744eaa912fa820040353dd2024-12-01T12:25:09ZengNature PortfolioScientific Reports2045-23222024-10-0114111410.1038/s41598-024-73426-4Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivityT. S. Khaleque0A. Hossain1M. D. Shamshuddin2Mohammad Ferdows3S. O. Salawu4Shuyu Sun5Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of DhakaResearch group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of DhakaDepartment of Computer Science and Artificial Intelligence (Mathematics), SR UniversityResearch group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of DhakaDepartment of Mathematics, Bowen UniversityPhysical and Engineering Division, King Abdullah University of Science and TechnologyAbstract The intricate dynamics of mixed convective thermic and species transport in a power-law flowing fluid through a continuously stretched surface are investigated. The uniqueness of this study lies in the consideration of fluid variable thermic conductivity and viscosity, which introduces a higher degree of realism into the analysis. The transformation of similarity is used to transform the fundamental governing equations, and after that, the set of equations is processed numerically utilizing a non-similarity local approach. Furthermore, the effects of Soret and Dufour represent the cross-diffusion phenomena, accounting for the energy exchange with the surroundings. These factors collectively influence the stretching surface’s gradient velocity, affecting the thermal and species concentration rates. The findings offer a comprehensive understanding of these complex interactions, paving the way for optimizing thermic and species transport processes in various industrial applications. This study, therefore, holds significant potential for enhancing efficiency and performance in relevant industrial sectors. The main terms are the combinations of Dufour and Soret numbers that significantly impact the flow rate profile and mass transfer field. The coupled study of the nonlinear velocity, energy distribution and chemical mixture variance made the study more impactful in practicality. Skin friction variation shows limited impact with variations in the Soret number. The enhanced thermal gradient results in improved non-similarity parameters, yet it demonstrates a decrease with an increase in variable thermal diffusivity. There is a decrease in the temperature gradient as the buoyancy term reduces, while an increase is observed with changes in the Prandtl number. Similarly, the Nusselt number experiences a comparable impact due to changes in the Soret number.https://doi.org/10.1038/s41598-024-73426-4Cross diffusionMixed convectionPower law fluidVariable viscosityVariable thermal conductivity
spellingShingle T. S. Khaleque
A. Hossain
M. D. Shamshuddin
Mohammad Ferdows
S. O. Salawu
Shuyu Sun
Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
Scientific Reports
Cross diffusion
Mixed convection
Power law fluid
Variable viscosity
Variable thermal conductivity
title Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
title_full Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
title_fullStr Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
title_full_unstemmed Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
title_short Soret and dufour impacts on radiative power-law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
title_sort soret and dufour impacts on radiative power law fluid flow via continuously stretchable surface with varying viscosity and thermal conductivity
topic Cross diffusion
Mixed convection
Power law fluid
Variable viscosity
Variable thermal conductivity
url https://doi.org/10.1038/s41598-024-73426-4
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