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Peer-reviewedCC BYResults in Surfaces and Interfaces

Novel concepts of Cattaneo-Christov fluxes for Darcy-Forchheimer flow featuring Buongiorno's nanofluid mathematical model through design of intelligent-based neuro-structures

  • Nazrul Islam1
  • Mushtaq K. Abdalrahem2
  • Abdullatif Abdulhadi Gari1
  • Shaikbepari Mohmmed Khajamoinuddin3
  • Amjad Ali Pasha4
  • Muhammad Naeem5
  • Imran Abbasi5
  • Zohaib Arshad6
  • Waqar Azeem Khan5
6 affiliations
  1. 1Department of Mechanical Engineering Department, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
  2. 2College of Pharmacy, University of Al-Ameed, Iraq; Department of Statistics, College of Administration and Economics, University of Kerbala, Iraq
  3. 3M S Ramaiah University of Applied Sciences, Bangalore, Karnataka, 560054, India
  4. 4Aerospace Engineering Department, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
  5. 5Department of Mathematics, Mohi-Ud-Din Islamic University, Nerian Sharif, AJK, Pakistan
  6. 6Department of Mathematics, Mohi-Ud-Din Islamic University, Nerian Sharif, AJK, Pakistan; Corresponding author.
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Abstract

This research presents different concepts of Cattaneo-Christov mass and heat fluxes in frame of Darcy-Forchheimer flow integrating Buongiorno's nanofluid model, boosted through computational techniques based on intelligent neuro-structure. Nanofluids, renowned for their better thermal conductivity, have obtained significant importance in recent heat transfer applications which includes chemical processing, cooling systems and modern energy devices. Inspired by these applications, the current study investigates a three dimensional magneto-bioconvective nanofluid flow across a bi-directionally stretched sheet embedded in a Darcy-Forchheimer porous medium while taking triple stratification and gyrotactic micro-organism into consideration. To obtain thermal relaxation phenomena in frame of Cattaneo-Christov heat flux model the mathematical formulation incorporates thermophoresis, Brownian motion, chemical reaction effects and Arrhenius activation energy. Under boundary layer approximations using similarity transformations the governing non-linear PDEs are transformed into system of non-linear ordinary differential equations. Using Levenberg-Marquardt backpropagation scheme(Lb-MBS) a technique of artificial based neural network(ANNs) these equations are solved. Generally, for complex non-linear flow problems the current study evaluated thet the ANN based Lb-MBS technique provides most accurate results (MSE ranging from 10 −10 to 10 −9 ). The conclusions shows that the importance of Cattaneo-Christov fluxes and porous media effects in regulating mass and thermal transport, for intelligent modeling of nano-fluid flows and the models of advanced thermal systems current study offers a valuable insights. Additionally, a thorough analysis is conducted to ascertain how important parameters affect temperature, concentration, and microorganism profiles. Decreasing behavior of θ ( η ) for S 1 , ϕ ( η ) for S c and σ and χ ( η ) for L b is obtained. Also, increasing behavior of θ ( η ) for B * , A * and γ 1 , ϕ ( η ) for N t and γ 2 and χ ( η ) for γ 3 .

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Cite

BibTeXRIS
BibTeX
@article{islam2026novel,
  title = {{Novel concepts of Cattaneo-Christov fluxes for Darcy-Forchheimer flow featuring Buongiorno's nanofluid mathematical model through design of intelligent-based neuro-structures}},
  author = {Nazrul Islam and Mushtaq K. Abdalrahem and Abdullatif Abdulhadi Gari and Shaikbepari Mohmmed Khajamoinuddin and Amjad Ali Pasha and Muhammad Naeem and Imran Abbasi and Zohaib Arshad and Waqar Azeem Khan},
  journal = {Results in Surfaces and Interfaces},
  year = {2026},
  month = oct,
  doi = {10.1016/j.rsurfi.2026.101003},
  url = {https://doi.org/10.1016/j.rsurfi.2026.101003},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Novel concepts of Cattaneo-Christov fluxes for Darcy-Forchheimer flow featuring Buongiorno's nanofluid mathematical model through design of intelligent-based neuro-structures
AU  - Nazrul Islam
AU  - Mushtaq K. Abdalrahem
AU  - Abdullatif Abdulhadi Gari
AU  - Shaikbepari Mohmmed Khajamoinuddin
AU  - Amjad Ali Pasha
AU  - Muhammad Naeem
AU  - Imran Abbasi
AU  - Zohaib Arshad
AU  - Waqar Azeem Khan
PY  - 2026
DA  - 2026/10/30
JO  - Results in Surfaces and Interfaces
DO  - 10.1016/j.rsurfi.2026.101003
UR  - https://doi.org/10.1016/j.rsurfi.2026.101003
AB  - This research presents different concepts of Cattaneo-Christov mass and heat fluxes in frame of Darcy-Forchheimer flow integrating Buongiorno's nanofluid model, boosted through computational techniques based on intelligent neuro-structure. Nanofluids, renowned for their better thermal conductivity, have obtained significant importance in recent heat transfer applications which includes chemical processing, cooling systems and modern energy devices. Inspired by these applications, the current study investigates a three dimensional magneto-bioconvective nanofluid flow across a bi-directionally stretched sheet embedded in a Darcy-Forchheimer porous medium while taking triple stratification and gyrotactic micro-organism into consideration. To obtain thermal relaxation phenomena in frame of Cattaneo-Christov heat flux model the mathematical formulation incorporates thermophoresis, Brownian motion, chemical reaction effects and Arrhenius activation energy. Under boundary layer approximations using similarity transformations the governing non-linear PDEs are transformed into system of non-linear ordinary differential equations. Using Levenberg-Marquardt backpropagation scheme(Lb-MBS) a technique of artificial based neural network(ANNs) these equations are solved. Generally, for complex non-linear flow problems the current study evaluated thet the ANN based Lb-MBS technique provides most accurate results (MSE ranging from 10 −10 to 10 −9 ). The conclusions shows that the importance of Cattaneo-Christov fluxes and porous media effects in regulating mass and thermal transport, for intelligent modeling of nano-fluid flows and the models of advanced thermal systems current study offers a valuable insights. Additionally, a thorough analysis is conducted to ascertain how important parameters affect temperature, concentration, and microorganism profiles. Decreasing behavior of θ ( η ) for S 1 , ϕ ( η ) for S c and σ and χ ( η ) for L b is obtained. Also, increasing behavior of θ ( η ) for B * , A * and γ 1 , ϕ ( η ) for N t and γ 2 and χ ( η ) for γ 3 .
SN  - 2666-8459
ER  -