Volume 105, Issue 5 e70010
ORIGINAL PAPER

Scrutinization of nanoparticle aggregation in the reactive dynamics of heat transport phenomenon with buoyancy forces

Ram Prakash Sharma

Ram Prakash Sharma

Department of Mechanical Engineering, National Institute of Technology Arunachal Pradesh, Itanagar, Arunachal Pradesh, India

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Pudhari Srilatha

Pudhari Srilatha

Department of Mathematics, Institute of Aeronautical Engineering, Hyderabad, India

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Mehboob Ul Hassan

Mehboob Ul Hassan

Department of Economics, College of Business Administration, King Saud University, Riyadh, Saudi Arabia

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Umair Khan

Corresponding Author

Umair Khan

Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai, Tamil Nadu, India

Department of Mathematics, Lebanese American University, Byblos, Lebanon

Department of Mathematics, Faculty of Science, Sakarya University, Turkey

Correspondence

Umair Khan, Department of Mathematics, Faculty of Science, Sakarya University, Serdivan, Sakarya 54050, Turkey.

Email: [email protected]; [email protected]

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Javali Kotresh Madhukesh

Javali Kotresh Madhukesh

Department of Mathematics, GM University, Davangere, Karnataka, India

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Sunendra Shukla

Sunendra Shukla

Department of Basic & Applied Science, National Institute of Technology Arunachal Pradesh, Itanagar, Arunachal Pradesh, India

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First published: 18 April 2025
Citations: 1

Abstract

Nanotechnology has entered the worldwide industry immensely during the recent two decades. Nanoparticles have been widely used for reducing economic and environmental issues with lesser toxicity and have better chemical stability. Based on these applications, the present study is based on the nanoparticle aggregation effect on MHD flow by an expanding sheet with the joule heating effect and employing the convective boundary conditions. Using suitable similarity variables, the system of partial differential equations (PDEs) regulating the flow and heat transfer in the examined situation is turned into a set of ordinary differential equations (ODEs). These ODEs are then solved numerically using the RKF-45 (Runge Kutta Fehlberg 45) performance and a shooting system. The solutions produced are utilized to inspect the effect of different nondimensional factors on the related flow and temperature profiles, which are shown graphically for improved visualization and understanding. In addition, the higher impacts of the magnetic parameter decrease the velocity profiles at around 1.05% and 2.15% in the absence and presence of nanoparticle aggregation, respectively. On the other hand, the temperature profiles intensify percentage-wise at about 4.95% and 5.35% with and without nanoparticle aggregations, respectively, for the superior effects of the magnetic parameter. Increases in the heat source/sink and Eckart numbers, on the other hand, improve the thermal profile, while the Biot number has the reverse effect.

CONFLICT OF INTEREST STATEMENT

It is declared that we have no conflict of interest.

DATA AVAILABILITY STATEMENT

The datasets used and/or analyzed during the current study are available from the corresponding author upon reasonable request.

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