LAPSE:2023.12571
Published Article

LAPSE:2023.12571
Time-Dependent Stagnation Point Flow of Water Conveying Titanium Dioxide Nanoparticle Aggregation on Rotating Sphere Object Experiencing Thermophoresis Particle Deposition Effects
February 28, 2023
Abstract
The notion of thermophoretic particle deposition is used in a number of applications, including thermal exchanger walls. It is important to identify the transport processes in action in systems such as thermal precipitators, exhaust devices, optical transmission fabrication processes, and so on. Based on these application points of view, the present work studies the performance of nanoparticle aggregation stagnation point flow over a rotating sphere during the occurrence of thermophoretic particle deposition. The nonlinear governing equations are transformed into the ordinary differential equation by utilizing suitable similarity variables. The numerical outcomes of the reduced equations along with boundary conditions are solved by the Runge−Kutta−Fehlberg 45 (RKF-45) order method with shooting procedure. The numerical results are shown with the assistance of graphs. The impacts of various dimensionless constraints on velocity, thermal, and concentration profiles are studied under the occurrence and absence of nanoparticle aggregation. The study reveals that the primary velocity is enhanced with increasing values of the acceleration parameter, but secondary velocity diminishes. The impressions of the rotation parameter will improve the primary velocity. The concentration profiles will diminish with an improvement in the thermophoretic parameter. The surface drag force is greater in nanoparticles with aggregation than nanoparticles without aggregation in the Cfx case but a reverse behavior is seen in the Cfz case. Further, the rate of heat distribution increases with a rise in the solid volume fraction, whereas the rate of mass distribution grows as the thermophoretic parameter grows.
The notion of thermophoretic particle deposition is used in a number of applications, including thermal exchanger walls. It is important to identify the transport processes in action in systems such as thermal precipitators, exhaust devices, optical transmission fabrication processes, and so on. Based on these application points of view, the present work studies the performance of nanoparticle aggregation stagnation point flow over a rotating sphere during the occurrence of thermophoretic particle deposition. The nonlinear governing equations are transformed into the ordinary differential equation by utilizing suitable similarity variables. The numerical outcomes of the reduced equations along with boundary conditions are solved by the Runge−Kutta−Fehlberg 45 (RKF-45) order method with shooting procedure. The numerical results are shown with the assistance of graphs. The impacts of various dimensionless constraints on velocity, thermal, and concentration profiles are studied under the occurrence and absence of nanoparticle aggregation. The study reveals that the primary velocity is enhanced with increasing values of the acceleration parameter, but secondary velocity diminishes. The impressions of the rotation parameter will improve the primary velocity. The concentration profiles will diminish with an improvement in the thermophoretic parameter. The surface drag force is greater in nanoparticles with aggregation than nanoparticles without aggregation in the Cfx case but a reverse behavior is seen in the Cfz case. Further, the rate of heat distribution increases with a rise in the solid volume fraction, whereas the rate of mass distribution grows as the thermophoretic parameter grows.
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Keywords
nanofluid, nanofluid aggregation, rotating sphere, stagnation point flow, thermophoretic particle deposition
Subject
Suggested Citation
Madhukesh JK, Prasannakumara BC, Khan U, Madireddy S, Raizah Z, Galal AM. Time-Dependent Stagnation Point Flow of Water Conveying Titanium Dioxide Nanoparticle Aggregation on Rotating Sphere Object Experiencing Thermophoresis Particle Deposition Effects. (2023). LAPSE:2023.12571
Author Affiliations
Madhukesh JK: Department of Studies and Research in Mathematics, Davangere University, Davangere 577002, Karnataka, India [ORCID]
Prasannakumara BC: Department of Studies and Research in Mathematics, Davangere University, Davangere 577002, Karnataka, India
Khan U: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, Pakistan [ORCID]
Madireddy S: Department of Mathematics and Statistics, University College for Women, Koti 500095, Hyderabad, India
Raizah Z: Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia [ORCID]
Galal AM: Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia; Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura P.O. Box [ORCID]
Prasannakumara BC: Department of Studies and Research in Mathematics, Davangere University, Davangere 577002, Karnataka, India
Khan U: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, Pakistan [ORCID]
Madireddy S: Department of Mathematics and Statistics, University College for Women, Koti 500095, Hyderabad, India
Raizah Z: Department of Mathematics, College of Science, King Khalid University, Abha 61421, Saudi Arabia [ORCID]
Galal AM: Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia; Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura P.O. Box [ORCID]
Journal Name
Energies
Volume
15
Issue
12
First Page
4424
Year
2022
Publication Date
2022-06-17
ISSN
1996-1073
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Original Submission
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PII: en15124424, Publication Type: Journal Article
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LAPSE:2023.12571
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