journal article·2025-09-01Open access

Numerical analysis of homogeneous–heterogeneous reactions on MHD Reiner–Philippoff fluid using Cattaneo–Christov model

M. S. Alqurashi

AIP Advances· Volume 15· Issue 9

Abstract

In the presence of an aligned magnetic field across the stretched sheet, this work aims to provide a theoretical analysis of Cattaneo–Christov’s work on heat diffusion in Reiner–Philippoff fluid streams within a Darcy–Forchheimer medium. To explain the heat transfer process, non-linear heat radiation and a heat source/sink are employed. In addition, boundary conditions for thermal and velocity slip, as well as homogeneous–heterogeneous reactions, are discussed. Using the computing program MATLAB, an efficient Runge–Kutta-based shooting technique is used to determine the solution of the altered equations. The graphs illustrate the impact of relevant parameters that define the flow. The fluid’s elasticity, the magnetic field, and the porous matrix all work together to prevent the Reiner–Philippoff fluid from moving, which results in a thinner boundary layer. Physical quantities can also be numerically considered using tables. The findings suggest new applications in nuclear reactors, chemical processes, electronic cooling, and heat transfer phenomena.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Fluid Dynamics and Turbulent Flows · Heat Transfer and Boiling Studies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, College of Science, Taif University , P.O. Box 11099, Taif 21944,

References (35)

Show source-provided references
1. Influences of Fourier and Fick’s relations in stagnation point flow of Reiner–Philippoff fluid containing oxytactic-microorganisms with variable molecular diffusivity10.1080/17455030.2022.2148013 ↗
2. Impact of pseudoplastic and dilatants behavior of Reiner–Philippoff nanofluid on peristaltic motion with heat and mass transfer analysis in a tapered channel10.3934/math.2023359 ↗
3. Impact of Maxwell velocity slip and Smoluchowski temperature slip on CNTs with modified Fourier theory: Reiner–Philippoff model10.1371/journal.pone.0258367 ↗
4. Case study of thermal and solutal aspects on non-Newtonian Prandtl hybrid nanofluid flowing via stretchable sheet: Multiple slip solution10.1016/j.csite.2023.103186 ↗
5. Physical aspects of Darcy–Forchheimer flow and dissipative heat transfer of Reiner–Philippoff fluid10.1007/s10973-019-09072-0 ↗
6. Significance of variable thermal conductivity and suction/injection in unsteady MHD mixed convection flow of Casson Williamson nanofluid through heat and mass transport with gyrotactic microorganisms10.1002/ZAMM.202300501 ↗
7. Zero-mass flux and Cattaneo–Christov heat flux through a Prandtl non-Newtonian nanofluid in Darcy–Forchheimer porous space10.1002/HTJ.21872 ↗
8. Numerical experiment of Reiner–Philippoff nanofluid flow subject to the higher-order slip features, activation energy, and bioconvection10.1016/j.padiff.2021.100126 ↗
9. Brownian and thermophoresis diffusion effects on magnetohydrodynamic Reiner–Philippoff nanofluid flow past a shrinking sheet10.1016/J.AEJ.2022.12.056 ↗
10. Heat transfer efficacy and flow progress of tripartite diffusion in magneto-radiative Reiner–Philippoff nanofluid in porous Darcy–Forchheimer substance with heat source10.1016/j.csite.2023.103022 ↗
11. Solar thermal energy technologies and its applications for process heating and power generation—A review10.1016/J.JCLEPRO.2020.125296 ↗
12. Mixed convection of MHD Reiner–Philippoff fluid flow past a vertical shrinking plate with radiative heat transfer10.1016/J.CJPH.2023.04.001 ↗
13. Quadratic regression analysis for nonlinear heat source/sink and mathematical Fourier heat law influences on Reiner–Philippoff hybrid nanofluid flow applying Galerkin finite element method10.1016/j.jmmm.2023.170383 ↗
14. Thermal enhancement using variable characteristics and tripartite diffusion features of solar aircraft wings in context of Reiner–Philippoff hybrid nanofluid passing through a parabolic trough solar collector10.1016/J.CSITE.2024.105553 ↗
15. Heat and fluid flow due to non-linearly stretching surfaces10.1016/j.amc.2011.02.029 ↗
16. Scaling group transformation for MHD boundary layer free convective heat and mass transfer flow past a convectively heated nonlinear radiating stretching sheet10.1016/j.ijheatmasstransfer.2012.09.020 ↗
17. Numerical solutions on Reiner–Philippoff (RP) fluid model with velocity and thermal slip boundary condition10.37934/CFDL.14.12.5265 ↗
18. Flow and heat transfer along a permeable stretching/shrinking curved surface in a hybrid nanofluid10.1088/1402-4896/ab0fd5 ↗
19. Memoire sur Memoire sur les lois du lois du mouvement des fluides
20. On stresses in rarefied gases arising from inequalities of temperature10.1098/rspl.1878.0052 ↗
21. Numerical analysis of MHD tri-hybrid nanofluid over a nonlinear stretching/shrinking sheet with heat generation/absorption and slip conditions10.1016/j.aej.2023.06.081 ↗
22. Insight into stability analysis on modified magnetic field of radiative non-Newtonian Reiner–Philippoff fluid model10.22055/JACM.2022.38820.3287 ↗
23. Analysis of non-linear radiation and activation energy analysis on hydromagnetic Reiner–Philippoff fluid flow with Cattaneo–Christov double diffusions10.3390/MATH10091534 ↗
24. Effects of aligned magnetic field and CNTs in two different base fluids over a moving slip surface10.1016/j.molliq.2017.08.084 ↗
25. Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet10.1016/j.csite.2020.100819 ↗
26. Comparative analysis on Darcy–Forchheimer flow of 3-D MHD hybrid nanofluid (MoS2Fe3O4/H2O) incorporating melting heat and mass transfer over a rotating disk with Dufour and Soret effects10.12989/anr.2024.16.4.325 ↗
27. Magnetohydrodynamic and viscous dissipation effects on radiative heat transfer of non-Newtonian fluid flow past a nonlinearly shrinking sheet: Reiner–Philippoff model10.1016/J.AEJ.2022.01.014 ↗
28. Analysing Soret, Dufour, and activation energy effects on heat and mass transfer thin film flow of an MHD Williamson ternary hybrid nanofluid over a non-Darcy porous stretching surface10.1140/EPJP/S13360-025-06103-8 ↗
29. Numerical Scrutinization of Darcy–Forchheimer relation in convective magnetohydrodynamic nanofluid flow bounded by nonlinear stretching surface in the perspective of heat and mass transfer10.3390/MI12040374 ↗
30. Double-diffusive bioconvection effects on multi-slip peristaltic flow of Jeffrey nanofluid in an asymmetric channel10.1007/s12043-023-02582-5 ↗
31. Investigating the effect of bio-convection, chemical reaction, and motile microorganisms on Prandtl hybrid nanofluid flow across a stretching sheet10.1002/ZAMM.202300509 ↗
32. Cattaneo–Christov and Darcy–Forchheimer heat flux on Reiner–Philippoff fluid with velocity and thermal slip boundary condition under heat sink/source10.1007/s00231-024-03512-w ↗
33. Optimized frame work for Reiner–Philippoff nanofluid with improved thermal sources and Cattaneo–Christov modifications: A numerical thermal analysis10.1142/S0217979221500831 ↗
34. Impact of suction and blowing on radiative heat transfer of Maxwell fluid with homogenous heterogenous reactions10.1016/J.JRRAS.2025.101330 ↗
35. Numerical solutions on Reiner–Philippoff (RP) fluid model with velocity and thermal slip boundary condition10.37934/cfdl.14.12.5265 ↗