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Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow
Research Article  ·  Published: 16 April 2026
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ICCK Journal of Applied Mathematics
Volume 2, Issue 2, 2026: 137-152
Research Article Open Access

Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow

by
Sohail Rehman Sohail Rehman 1 * ORCID
1 Department of Physical and Numerical Sciences, Qurtuba University of Science and Information Technology, Peshawar, KP 25000, Pakistan
* Corresponding Author: Sohail Rehman, [email protected]
Volume 2, Issue 2
Volume 2, Issue 2 2026
Received: 04 December 2025 Accepted: 18 February 2026 Published: 16 April 2026 CrossMark
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DOI: 10.62762/JAM.2025.513035
ARK: ark:/57805/jam.2025.513035

Article Information

Published in ICCK Journal of Applied Mathematics
Volume/Issue Volume 2, Issue 2, 2026
Pages 137-152

Abstract

Entropy optimization in the dissipative flow of a viscous liquid with a chemical species of quartic autocatalysis inside wedge geometry is investigated in this study by executing the revised Buongiorno model using numerical simulations. To demonstrate the feasibility of this approach, an illustration of the well-known model of laminar flow in the wedge domain of a planar surface is provided. The term for nanoparticles amalgamation in the heat equation is omitted, which accounts for additional involvement brought on by the migration of the nanoparticles in relation to the fluid. In addition, the energy released by autocatalysis processes is assumed to be insignificant. The studied nanofluid and chemical reactions are believed to be in a local thermal balance state. The dimensionless equations for flow, temperature, and concentration (nanoparticle volume fraction) are formulated and solved numerically using the Runge-Kutta (RK-4) approach. Findings suggest that fluid concentration is lowered with a rise in Schmidt number while temperature is enhanced with an elevation in heat source parameter. Thermal distribution and entropy rate are improved with a larger approximation of the radiation variable. The wedge parameter \( m \) depicts contrary effects for liquid velocity and concentration boundary layers while entropy depletion is seen.

Graphical Abstract

Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow

Keywords

viscous material wedge flow heat and mass transfer chemical reaction entropy mechanism

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The author declares no conflicts of interest.

AI Use Statement

The author declares that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

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APA Style
Rehman, S. (2026). Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow. ICCK Journal of Applied Mathematics, 2(2), 137–152. https://doi.org/10.62762/JAM.2025.513035
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TY  - JOUR
AU  - Rehman, Sohail
PY  - 2026
DA  - 2026/04/16
TI  - Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 2
IS  - 2
SP  - 137
EP  - 152
DO  - 10.62762/JAM.2025.513035
UR  - https://www.icck.org/article/abs/JAM.2025.513035
KW  - viscous material
KW  - wedge flow
KW  - heat and mass transfer
KW  - chemical reaction
KW  - entropy mechanism
AB  - Entropy optimization in the dissipative flow of a viscous liquid with a chemical species of quartic autocatalysis inside wedge geometry is investigated in this study by executing the revised Buongiorno model using numerical simulations. To demonstrate the feasibility of this approach, an illustration of the well-known model of laminar flow in the wedge domain of a planar surface is provided. The term for nanoparticles amalgamation in the heat equation is omitted, which accounts for additional involvement brought on by the migration of the nanoparticles in relation to the fluid. In addition, the energy released by autocatalysis processes is assumed to be insignificant. The studied nanofluid and chemical reactions are believed to be in a local thermal balance state. The dimensionless equations for flow, temperature, and concentration (nanoparticle volume fraction) are formulated and solved numerically using the Runge-Kutta (RK-4) approach. Findings suggest that fluid concentration is lowered with a rise in Schmidt number while temperature is enhanced with an elevation in heat source parameter. Thermal distribution and entropy rate are improved with a larger approximation of the radiation variable. The wedge parameter \( m \) depicts contrary effects for liquid velocity and concentration boundary layers while entropy depletion is seen.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  -
BibTeX Format
Compatible with LaTeX, BibTeX, and other reference managers
@article{Rehman2026Optimized,
  author = {Sohail Rehman},
  title = {Optimized Irreversibilities and Quartic Autocatalysis Chemical Reaction in A Wedge Flow},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {137-152},
  doi = {10.62762/JAM.2025.513035},
  url = {https://www.icck.org/article/abs/JAM.2025.513035},
  abstract = {Entropy optimization in the dissipative flow of a viscous liquid with a chemical species of quartic autocatalysis inside wedge geometry is investigated in this study by executing the revised Buongiorno model using numerical simulations. To demonstrate the feasibility of this approach, an illustration of the well-known model of laminar flow in the wedge domain of a planar surface is provided. The term for nanoparticles amalgamation in the heat equation is omitted, which accounts for additional involvement brought on by the migration of the nanoparticles in relation to the fluid. In addition, the energy released by autocatalysis processes is assumed to be insignificant. The studied nanofluid and chemical reactions are believed to be in a local thermal balance state. The dimensionless equations for flow, temperature, and concentration (nanoparticle volume fraction) are formulated and solved numerically using the Runge-Kutta (RK-4) approach. Findings suggest that fluid concentration is lowered with a rise in Schmidt number while temperature is enhanced with an elevation in heat source parameter. Thermal distribution and entropy rate are improved with a larger approximation of the radiation variable. The wedge parameter \( m \) depicts contrary effects for liquid velocity and concentration boundary layers while entropy depletion is seen.},
  keywords = {viscous material, wedge flow, heat and mass transfer, chemical reaction, entropy mechanism},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}

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