A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel
Abstract Background In industries, peristalsis is vital for transporting sensitive or corrosive fluids through tubes without direct contact with mechanical parts. It ensures precise flow control in applications like pharmaceuticals, food processing, and chemical handling, while slip conditions enhan...
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| Format: | Article |
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Springer
2025-03-01
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| Series: | Discover Applied Sciences |
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| Online Access: | https://doi.org/10.1007/s42452-025-06534-z |
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| author | Prathiksha Sanil Manjunatha Gudekote Rajashekhar Choudhari Madhavi M. R. Hanumesh Vaidya Kerehalli Vinayaka Prasad |
| author_facet | Prathiksha Sanil Manjunatha Gudekote Rajashekhar Choudhari Madhavi M. R. Hanumesh Vaidya Kerehalli Vinayaka Prasad |
| author_sort | Prathiksha Sanil |
| collection | DOAJ |
| description | Abstract Background In industries, peristalsis is vital for transporting sensitive or corrosive fluids through tubes without direct contact with mechanical parts. It ensures precise flow control in applications like pharmaceuticals, food processing, and chemical handling, while slip conditions enhance efficiency by reducing boundary friction. The current study explores the peristaltic transport of Ree-Eyring fluid through a non-uniform channel, focusing on temperature-dependent fluid properties such as viscosity and thermal conductivity, which are vital in modelling biological and industrial applications. Mathematical Model The flow is modelled using momentum, energy, and mass transfer equations with slip conditions at the walls. The governing nonlinear equations are simplified using low Reynolds numbers and long-wavelength approximations and are non-dimensionalized for analysis. Analysis of the chemical reaction is also considered in the current study. Solution Methodology A regular perturbation technique is applied to solve the nonlinear equations. MATLAB R2023a is used to visualize the impact of critical parameters like velocity, temperature, concentration, and streamlines under varying physical conditions. Parametric analysis is performed for pertinent parameters. Important Results The analysis shows that variable viscosity increases velocity profiles while variable thermal conductivity reduces the velocity profiles. These findings provide valuable insights into the effects of temperature-dependent properties on the flow dynamics of biological fluids and industrial systems. Also, the chemical reaction rate is diminished by an increase in the homogeneous reaction parameter, while an increase in the heterogeneous reaction parameter accelerates it. Novelty of the study The study addresses a novel investigation of peristaltic flow in Ree-Eyring fluid with temperature-dependent fluid properties. The research contributes to both the theoretical understanding of non-Newtonian peristaltic flow and the practical applications in biological and industrial systems, where variable fluid properties play a crucial role. This research optimizes industrial processes employing non-Newtonian fluids to improve performance and efficiency in polymer synthesis and biomedical applications. This study advances theoretical knowledge and gives practical solutions that could improve real-world applications. |
| format | Article |
| id | doaj-art-ebcab053246a4b00a8e5be2cbc7d0ee3 |
| institution | OA Journals |
| issn | 3004-9261 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Applied Sciences |
| spelling | doaj-art-ebcab053246a4b00a8e5be2cbc7d0ee32025-08-20T01:57:49ZengSpringerDiscover Applied Sciences3004-92612025-03-017312810.1007/s42452-025-06534-zA mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channelPrathiksha Sanil0Manjunatha Gudekote1Rajashekhar Choudhari2Madhavi M. R.3Hanumesh Vaidya4Kerehalli Vinayaka Prasad5Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher EducationDepartment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher EducationDepartment of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher EducationDepartment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher EducationDepartment of Mathematics, Vijayanagara Sri Krishnadevaraya UniversityDepartment of Mathematics, Vijayanagara Sri Krishnadevaraya UniversityAbstract Background In industries, peristalsis is vital for transporting sensitive or corrosive fluids through tubes without direct contact with mechanical parts. It ensures precise flow control in applications like pharmaceuticals, food processing, and chemical handling, while slip conditions enhance efficiency by reducing boundary friction. The current study explores the peristaltic transport of Ree-Eyring fluid through a non-uniform channel, focusing on temperature-dependent fluid properties such as viscosity and thermal conductivity, which are vital in modelling biological and industrial applications. Mathematical Model The flow is modelled using momentum, energy, and mass transfer equations with slip conditions at the walls. The governing nonlinear equations are simplified using low Reynolds numbers and long-wavelength approximations and are non-dimensionalized for analysis. Analysis of the chemical reaction is also considered in the current study. Solution Methodology A regular perturbation technique is applied to solve the nonlinear equations. MATLAB R2023a is used to visualize the impact of critical parameters like velocity, temperature, concentration, and streamlines under varying physical conditions. Parametric analysis is performed for pertinent parameters. Important Results The analysis shows that variable viscosity increases velocity profiles while variable thermal conductivity reduces the velocity profiles. These findings provide valuable insights into the effects of temperature-dependent properties on the flow dynamics of biological fluids and industrial systems. Also, the chemical reaction rate is diminished by an increase in the homogeneous reaction parameter, while an increase in the heterogeneous reaction parameter accelerates it. Novelty of the study The study addresses a novel investigation of peristaltic flow in Ree-Eyring fluid with temperature-dependent fluid properties. The research contributes to both the theoretical understanding of non-Newtonian peristaltic flow and the practical applications in biological and industrial systems, where variable fluid properties play a crucial role. This research optimizes industrial processes employing non-Newtonian fluids to improve performance and efficiency in polymer synthesis and biomedical applications. This study advances theoretical knowledge and gives practical solutions that could improve real-world applications.https://doi.org/10.1007/s42452-025-06534-zNon-uniform channelRee-Eyring fluidVariable liquid propertiesSlip effectsChemical reactionsHeat transfer |
| spellingShingle | Prathiksha Sanil Manjunatha Gudekote Rajashekhar Choudhari Madhavi M. R. Hanumesh Vaidya Kerehalli Vinayaka Prasad A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel Discover Applied Sciences Non-uniform channel Ree-Eyring fluid Variable liquid properties Slip effects Chemical reactions Heat transfer |
| title | A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel |
| title_full | A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel |
| title_fullStr | A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel |
| title_full_unstemmed | A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel |
| title_short | A mathematical approach to the role of chemical reactions and temperature-dependent fluid properties on the peristaltic transport of non-Newtonian Ree-Eyring fluid in a nonuniform channel |
| title_sort | mathematical approach to the role of chemical reactions and temperature dependent fluid properties on the peristaltic transport of non newtonian ree eyring fluid in a nonuniform channel |
| topic | Non-uniform channel Ree-Eyring fluid Variable liquid properties Slip effects Chemical reactions Heat transfer |
| url | https://doi.org/10.1007/s42452-025-06534-z |
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