Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface
Research Article  ·  Published: 28 March 2026
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International Journal of Thermo-Fluid Systems and Sustainable Energy
Volume 2, Issue 1, 2026: 18-29
Research Article Open Access

Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface

1 Department of Mathematics and Statistics, University of Haripur, Haripur 22620, Pakistan
* Corresponding Author: Hashim, [email protected]
Volume 2, Issue 1

Abstract

This study investigates heat transportation in slip flow of a non-Newtonian fluid with thermal stratification over a stretched surface, a configuration that closely represents many industrial and engineering processes. The inclusion of slip effects and non-Newtonian rheology provides a more realistic description of flows encountered in polymer extrusion, coating technologies, micro- and nano-scale devices, and biomedical systems. Thermal stratification is incorporated to model non-uniform temperature environments commonly observed in heat exchangers, cooling of electronic components, and energy systems. The governing partial differential equations for momentum, energy, and nanoparticle concentration are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. The resulting boundary value problem is solved numerically to analyze the impact of key parameters such as the slip coefficient, thermal stratification parameter, Sutterby fluid parameter, and Brownian motion on velocity, temperature, and concentration profiles. Results indicate that thermal stratification significantly reduces the temperature distribution within the boundary layer, while velocity slip at the surface diminishes the skin friction coefficient. The non-Newtonian characteristics of the Sutterby fluid substantially influence the heat transfer rate, with shear-thinning fluids demonstrating enhanced thermal performance compared to shear-thickening fluids. This analysis provides valuable insights for thermal engineering applications involving non-Newtonian nanofluids in stratified environments.

Graphical Abstract

Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface

Keywords

non-Newtonian Sutterby model nanofluids thermal stratification buongiorno’s model heat transport

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The authors declare no conflicts of interest.

AI Use Statement

The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

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Cited By (2)

  1. Beeram Vasu, N. Pothanna, Bitla Hari Prasad, Adigoppula Raju. A computational investigation on thermo-viscous steady flow between extremely stretched parallel flat plates with suction/injection. International Journal of Thermofluids, 2026 , 35 .
    [CrossRef]
  2. Imran Abbasi, Waqar Azeem Khan, Muhammad Naeem, Brijesh Kumar Chaurasia, Pardeep Singh Bains, Harjot Singh Gill, Gafur Abdulakimov, Mehboob Ali. Analysis of melting heat-mass characteristics of Sutterby nanofluid flow based on design of intelligent-based neuro-structures. Results in Surfaces and Interfaces, 2026 , 24 .
    [CrossRef]
* Citation data provided by Crossref Cited-by.

Cite This Article

APA Style
Hashim, Mehmood, K., & Afzal, B. S. (2026). Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface. International Journal of Thermo-Fluid Systems and Sustainable Energy, 2(1), 18–29. https://doi.org/10.62762/IJTSSE.2025.505390
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TY  - JOUR
AU  - Hashim
AU  - Mehmood, Kashif
AU  - Afzal, Bilal Sher
PY  - 2026
DA  - 2026/03/28
TI  - Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface
JO  - International Journal of Thermo-Fluid Systems and Sustainable Energy
T2  - International Journal of Thermo-Fluid Systems and Sustainable Energy
JF  - International Journal of Thermo-Fluid Systems and Sustainable Energy
VL  - 2
IS  - 1
SP  - 18
EP  - 29
DO  - 10.62762/IJTSSE.2025.505390
UR  - https://www.icck.org/article/abs/IJTSSE.2025.505390
KW  - non-Newtonian Sutterby model
KW  - nanofluids
KW  - thermal stratification
KW  - buongiorno’s model
KW  - heat transport
AB  - This study investigates heat transportation in slip flow of a non-Newtonian fluid with thermal stratification over a stretched surface, a configuration that closely represents many industrial and engineering processes. The inclusion of slip effects and non-Newtonian rheology provides a more realistic description of flows encountered in polymer extrusion, coating technologies, micro- and nano-scale devices, and biomedical systems. Thermal stratification is incorporated to model non-uniform temperature environments commonly observed in heat exchangers, cooling of electronic components, and energy systems. The governing partial differential equations for momentum, energy, and nanoparticle concentration are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. The resulting boundary value problem is solved numerically to analyze the impact of key parameters such as the slip coefficient, thermal stratification parameter, Sutterby fluid parameter, and Brownian motion on velocity, temperature, and concentration profiles. Results indicate that thermal stratification significantly reduces the temperature distribution within the boundary layer, while velocity slip at the surface diminishes the skin friction coefficient. The non-Newtonian characteristics of the Sutterby fluid substantially influence the heat transfer rate, with shear-thinning fluids demonstrating enhanced thermal performance compared to shear-thickening fluids. This analysis provides valuable insights for thermal engineering applications involving non-Newtonian nanofluids in stratified environments.
SN  - 3069-1877
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 
BibTeX Format
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@article{Hashim2026Heat,
  author = {Hashim and Kashif Mehmood and Bilal Sher Afzal},
  title = {Heat Transportation During Slip Flow of Non-Newtonian Rheology with Thermal Stratification past a Stretched Surface},
  journal = {International Journal of Thermo-Fluid Systems and Sustainable Energy},
  year = {2026},
  volume = {2},
  number = {1},
  pages = {18-29},
  doi = {10.62762/IJTSSE.2025.505390},
  url = {https://www.icck.org/article/abs/IJTSSE.2025.505390},
  abstract = {This study investigates heat transportation in slip flow of a non-Newtonian fluid with thermal stratification over a stretched surface, a configuration that closely represents many industrial and engineering processes. The inclusion of slip effects and non-Newtonian rheology provides a more realistic description of flows encountered in polymer extrusion, coating technologies, micro- and nano-scale devices, and biomedical systems. Thermal stratification is incorporated to model non-uniform temperature environments commonly observed in heat exchangers, cooling of electronic components, and energy systems. The governing partial differential equations for momentum, energy, and nanoparticle concentration are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. The resulting boundary value problem is solved numerically to analyze the impact of key parameters such as the slip coefficient, thermal stratification parameter, Sutterby fluid parameter, and Brownian motion on velocity, temperature, and concentration profiles. Results indicate that thermal stratification significantly reduces the temperature distribution within the boundary layer, while velocity slip at the surface diminishes the skin friction coefficient. The non-Newtonian characteristics of the Sutterby fluid substantially influence the heat transfer rate, with shear-thinning fluids demonstrating enhanced thermal performance compared to shear-thickening fluids. This analysis provides valuable insights for thermal engineering applications involving non-Newtonian nanofluids in stratified environments.},
  keywords = {non-Newtonian Sutterby model, nanofluids, thermal stratification, buongiorno’s model, heat transport},
  issn = {3069-1877},
  publisher = {Institute of Central Computation and Knowledge}
}

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CC BY Copyright © 2026 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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