The main focus of the current analysis is to describe the thermo-magnetic flow, heat and mass transport features of two-dimensional dissipative Prandtl-Eyring nanofluid (PE-NF) flow over a stretching sheet under the influence of porous medium and magnetic Ohmic dissipation numerically. An innovative Buongiorno’s nanofluid model in terms of Brownian motion and thermophoresis is deployed to accurately simulate the nano behavior in Prandtl-Eyring within the boundary layer regime. The thermal radiation and heat source/sink effects are also included to describe the thermal transport process. In addition to this, the thermo-diffusion and diffusion-thermo effect are included to demonstrate the temperature and concentration diffusion mechanism under the presence of chemical reaction process. The emerged coupled nonlinear two-dimensional time-independent partial differential equations are rendered to their dimensionless form through appropriate similarity transformations and solved by deploying Matlab-based BVP4C technique. The graphical visualization showed that, the increasing magnetic number diminished the flow field and enhanced the temperature and concentration profiles in the flow regime. Rising porous parameter decayed the Prandtl-Eyring nanofluid velocity. Increasing radiation and Eckert numbers enhance the temperature field in the flow regime. Magnifying Prandtl-Eyring parameter suppressed the velocity diffusion. Increasing Brownian motion and thermophoresis parameters increases the temperature profile. Amplifying Soret parameter upsurges the concentration profile. Skin-friction coefficient amplified with enhanced magnetic and porous numbers. Heat transfer rate acts as increasing function of thermophoresis and Brownian motion parameters. The main objective of this study is the addition of magnetic Ohmic dissipation, radiation, porous medium, thermal source/sink, Soret and Dufour effects and Buongiorno nanofluid model and this consideration generalizes former studies and gives a new re-defined mathematical formulation of heat and mass transport features of Prandtl-Eyring nanofluid flow over a stretching sheet. Finally, the numerical accuracy of the current similarity results is validated with available solutions and noticed a good agreement.
ChoiSUS. Enhancing thermal conductivity of fluids with nanoparticles. In: Developments and applications of non-Newtonian flows, San Francisco, CA, FED, MD, 1995, vol. 231, pp.99–105. New York: ASME.
2.
LeeSChoiSUSLiS, et al. Measuring thermal conductivity of fluids containing oxide nanoparticles. J Heat Transf1999; 121: 280–289.
3.
EastmanJAChoiSUSLiS, et al. Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles. Appl Phys Lett2001; 78: 718–720.
4.
ChoiSUSZhangZGYuW, et al. Anomalously thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett2001; 79: 2252–2254.
5.
KangHUKimSHOhJM. Estimation of thermal conductivity of nanofluid using experimental effective particle volume. Exper Heat Transf2006; 19: 181–191.
6.
WangXMujumdarAS. A review on nanofluids-part I: theoretical and numerical investigation. Brazil J Chem Eng2008; 25: 613–630.
7.
BuongiornoJ. Convective transport in nanofluids. J Heat Transf2006; 128: 240–250.
8.
ShafiqASindhuTNAl-MdallalQM. A sensitivity study on carbon nanotubes significance in Darcy–Forchheimer flow towards a rotating disk by response surface methodology. Sci Rep2021; 11: 8812.
9.
ShafiqAColakABSindhuTN. Construction of neural network based intelligent computing for treatment of Darcy-Forchheimer Sisko nanofluid flow with Rosseland’s radiative process. Heat Trans Res2023; 54(9): 77–98.
10.
ShafiqALoneSASindhuTN, et al. Statistical modelling for the Darcy–Forchheimer flow of Casson cobalt ferrite-water/ethylene glycol nanofluid under nonlinear radiation. Symmetry2022; 14: 1717.
11.
ShafiqAColakABSindhuTN. Comparative analysis to study the Darcy-Forchheimer tangent hyperbolic flow towards cylindrical surface using artificial neural network: an application to Parabolic Trough Solar Collector. Math Comput Simul2024; 216: 213–230.
12.
ShafiqAAolakABSindhuTN, et al. Optimization of Darcy-Forchheimer squeezing flow in nonlinear stratified fluid under convective conditions with artificial neural network. Heat Trans Res2022; 53(3): 67–89.
13.
ShafiqAHammouchZSindhuTN. Bioconvective MHD flow of tangent hyperbolic nanofluid with Newtonian heating. Int J Mech Sci2017; 133: 759–766.
14.
ShafiqASindhuTNKhaliqueCM. Numerical investigation and sensitivity analysis on bioconvective tangent hyperbolic nanofluid flow towards stretching surface by response surface methodology. Alex Eng J2020; 59: 4533–4548.
15.
ShafiqAMebarek-OudinaFSindhuTN, et al. A study of dual stratification on stagnation point Walters’ B nanofluid flow via radiative Riga plate: a statistical approach. Eur Phys J Plus2021; 136: 1–24.
16.
ShafiqASindhuTN. Statistical study of hydromagnetic boundary layer flow of Williamson fluid regarding a radiative surface. Results Phys2017; 7: 3059–3067.
17.
ColakABShafiqASindhuTN. Modeling of Darcy–Forchheimer bioconvective Powell Eyring nanofluid with artificial neural network. Chin J Phys2022; 77: 2435–2453.
18.
ShafiqAColakABSindhuTN. Optimization of the numerical treatment of the Darcy–Forchheimer flow of Ree–Eyring fluid with chemical reaction by using artificial neural networks. Int J Numer Methods Fluids2022; 95(1): 176–192.
19.
ShafiqAColakABSindhuTN. Modeling of Darcy-Forchheimer magnetohydrodynamic Williamson nanofluid flow towards nonlinear radiative stretching surface using artificial neural network, Int J Numer Methods Fluids2023; 95(9): 1502–1520.
20.
ShafiqAColakABSindhuTN. Designing artificial neural network of nanoparticle diameter and solid–fluid interfacial layer on single-walled carbon nanotubes/ethylene glycol nanofluid flow on thin slendering needles. Int J Numer Methods Fluids2021; 93(12): 3384–3404.
21.
ShafiqAMebarek-OudinaFSindhuTN, et al. Sensitivity analysis for Walters-B nanoliquid flow over a radiative Riga surface by RSM. Sci Iran Trans B Mech Eng2022; 29(3): 1236–1249.
22.
ShafiqAColakABSindhuTN. Analyzing activation energy and binary chemical reaction effects with artificial intelligence approach in axisymmetric flow of third grade nanofluid subject to Soret and Dufour effects. Heat Trans Res2023; 54(3): 75–94.
23.
ShafiqAColakABSindhuTN. Modeling of Soret and Dufour’s convective heat transfer in nanofluid flow through a moving needle with artificial neural network. Arabian J Sci Eng2023; 48: 2807–2820.
24.
ShafiqAColakABSindhuTN. Reliability investigation of exponentiated Weibull distribution using IPL through numerical and artificial neural network modeling. Qual Reliab Eng Int2022; 38(7): 3616–3631.
25.
SindhuTNColakABLoneSA, et al. A decreasing failure rate model with a novel approach to enhance the artificial neural network’s structure for engineering and disease data analysis. Tribol Int2024; 192: 109231.
26.
HayatTBibiSAlsaadiF, et al. Peristaltic transport of Prandtl–Eyring liquid in a convectively heated curved channel. PLoS One2016; 11: e0156995.
27.
AkbarNS. MHD Eyring–Prandtl Fluid flow with convective boundary conditions in small intestines. Int J Biomath2013; 6: 1350034.
28.
KhanMSalahuddinTMalikMY, et al. Numerical modeling and analysis of bio-convection on MHD flow due to an upper paraboloid surface of revolution. Phys A Stat Mech Appl2020; 553: 124231.
29.
AbdelmalekZHussainABilalS, et al. Brownian motion and thermophoretic diffusion influence on thermophysical aspects of electrically conducting visco-inelastic nanofluid flow over a stretched surface. J Mater Res Technol2020; 9: 11948–11957.
30.
HussainAMalikMYAwaisM, et al. Computational and physical aspects of MHD Prandtl-Eyring fluid flow analysis over a stretching sheet. Neural Comput Appl2019; 31: 425–433.
31.
RehmanKUAwaisMHussainA, et al. Mathematical analysis on MHD Prandtl-Eyring nanofluid new mass flux conditions. Math Methods Appl Sci2018; 42: 24–38.
32.
RehmanKUMalikAAMalikMY, et al. On new scaling group of transformation for Prandtl-Eyring fluid model with both heat and mass transfer. Results Phys2018; 8: 552–558.
33.
QayyumSHayatTKanwalM, et al. Transportation of entropy optimization in radiated chemically dissipative flow of Prandtl-Eyring nanofluid with activation energy. Comput Methods Programs Biomed2020; 184: 105130.
34.
KhanMIKhanSAHayatT, et al. Nanomaterial based flow of Prandtl-Eyring (non-Newtonian) fluid using Brownian and thermophoretic diffusion with entropy generation. Comput Methods Programs Biomed2019; 180: 105017.
35.
KhanMIAlsaediAQayyumS, et al. Entropy generation optimization in flow of Prandtl-Eyring nanofluid with binary chemical reaction and Arrhenius activation energy. Colloids Surf A Physicochem Eng Asp2019; 570: 117–126.
36.
UddinIUllahIAliR, et al. Numerical analysis of nonlinear mixed convective MHD chemically reacting flow of Prandtl–Eyring nanofluids in the presence of activation energy and Joule heating. J Therm Anal Calorim2021; 145: 495–505.
37.
QureshiMA. A case study of MHD driven Prandtl-Eyring hybrid nanofluid flow over a stretching sheet with thermal jump conditions. Case Stud Therm Eng2021; 28: 101581.
38.
HayatTUllahIMuhammadK, et al. Gyrotactic microorganism and bio-convection during flow of Prandtl-Eyring nanomaterial. Nonlinear Eng2021; 10: 201–212.
39.
KhanWA. Significance of magnetized Williamson nanofluid flow for ferromagnetic nanoparticles. Waves Random Complex Media2023; 33: 1–20.
40.
KhanWA. Impact of time-dependent heat and mass transfer phenomenon for magnetized Sutterby nanofluid flow. Waves Random Complex Media2022; 32: 1–15.
41.
KhanWA. Dynamics of gyrotactic microorganisms for modified Eyring Powell nanofluid flow with bioconvection and nonlinear radiation aspects. Waves Random Complex Media2023; 33: 1–11.
42.
IrfanMKhanWAPashaAA, et al. Significance of non-Fourier heat flux on ferromagnetic Powell-Eyring fluid subject to cubic autocatalysis kind of chemical reaction. Int Commun Heat Mass Transfer2022; 138: 106374.
43.
AnjumNKhanWAHobinyA, et al. Numerical analysis for thermal performance of modified Eyring Powell nanofluid flow subject to activation energy and bioconvection dynamic. Case Stud Therm Eng2022; 39: 102427.
44.
TabrezMKhanWA. Exploring physical aspects of viscous dissipation and magnetic dipole for ferromagnetic polymer nanofluid flow. Waves Random Complex Media2022; 32: 1–20.
45.
WaqasMKhanWAPashaAA, et al. Dynamics of bioconvective Casson nanoliquid from a moving surface capturing gyrotactic microorganisms, magnetohydrodynamics and stratifications. Therm Sci Eng Prog2022; 36: 101492.
46.
HussainZKhanWA. Impact of thermal-solutal stratifications and activation energy aspects on time-dependent polymer nanoliquid. Waves Random Complex Media2022; 32: 1–11.
47.
KhanWAArshadZHobinyA, et al. Impact of magnetized radiative flow of Sutterby nanofluid subjected to convectively heated wedge. Int J Mod Phys B2022; 36(16): 2250079.
48.
KhanWAAhmadAAnjumN, et al. Impact of nanoparticles and radiation phenomenon on viscoelastic fluid. Int J Mod Phys B2022; 36: 2250049.
49.
KhanWAAnjumNWaqasM, et al. Impact of stratification phenomena on a nonlinear radiative flow of Sutterby nanofluid. J Mater Res Technol2021; 15: 306–314.
50.
KhanWASunHShahzadM, et al. Importance of heat generation in chemically reactive flow subjected to convectively heated surface. Indian J Phys2021; 95: 89–97.
51.
KhanWAAliMIrfanM, et al. A rheological analysis of nanofluid subjected to melting heat transport characteristics. Appl Nanosci2020; 10: 3161–3170.
52.
KhanWAAliMShahzadM, et al. A note on activation energy and magnetic dipole aspects for Cross nanofluid subjected to cylindrical surface. Appl Nanosci2020; 10: 3235–3244.
53.
KhanWAWaqasMChammamW, et al. Evaluating the characteristics of magnetic dipole for shear-thinning Williamson nanofluid with thermal radiation. Comput Methods Programs Biomed2020; 191: 105396.
54.
KhanWAWaqasMKadryS, et al. On the evaluation of stratification based entropy optimized hydromagnetic flow featuring dissipation aspect and Robin conditions. Comput Methods Programs Biomed2020; 190: 105347.
55.
MunjamSRGangadharKSeshadriR, et al. Novel technique MDDIM solutions of MHD flow and radiative Prandtl-Eyring fluid over a stretching sheet with convective heating. Int J Ambient Energy2022; 43: 4850–4859.
56.
Abu-HamdehNHAljinaidiAAEltaherMA, et al. Implicit finite difference simulation of Prandtl-Eyring nanofluid over a flat plate with variable thermal conductivity: a Tiwari and Das model. Mathematics2021; 9: 3153.
57.
UllahZUllahIZamanG, et al. Mathematical modeling and thermodynamics of Prandtl–Eyring fluid with radiation effect: a numerical approach. Sci Rep2021; 11: 22201.
58.
JamshedWBaleanuDNasirNAAM, et al. The improved thermal efficiency of Prandtl–Eyring hybrid nanofluid via classical Keller box technique. Sci Rep2021; 11: 23535.
59.
JamshedWNasirNAAMIsaSSPM, et al. Thermal growth in solar water pump using Prandtl–Eyring hybrid nanofluid: a solar energy application. Sci Rep2021; 11: 18704–18721.
60.
QureshiMA. Thermal capability and entropy optimization for Prandtl-Eyring hybrid nanofluid flow in solar aircraft implementation. Alex Eng J2022; 61: 5295–5307.
61.
ShahZShafiqARoomanM, et al. Darcy-Forchheimer Prandtl-Eyring nanofluid flow with variable heat transfer and entropy generation using Cattaneo-Christov heat flux model: Statistical approach. Case Stud Therm Eng2023; 49: 103376.
62.
ShahZRoomanMShutaywiM. Computational analysis of radiative engine oil-based Prandtl–Eyring hybrid nanofluid flow with variable heat transfer using the Cattaneo–Christov heat flux model. RSC Adv2023; 13: 3552–3560.
63.
BashaHBallemSJanardhana ReddyG, et al. Buoyancy-motivated dissipative free convection flow of Walters-B fluid along a stretching sheet under the Soret effect and Lorentz force influence. Heat Transf2022; 51(4): 3512–3539.
64.
ShankarUNaduvinamaniNBBashaH. A generalized perspective of Fourier and Fick’s laws: Magnetized effects of Cattaneo-Christov models on transient nanofluid flow between two parallel plates with Brownian motion and thermophoresis. Nonlinear Eng2020; 9: 201–222.
65.
BashaHReddyGJMahanteshMN. Dissipative Lorentz force influence on mass flow over a micro-cantilever sensor sheet under magnetic Ohmic heating. Z Angew Math Mech2023; 104: e202300055.
66.
FathizadehMMadaniMKhanY, et al. An effective modification of the homotopy perturbation method for MHD viscous flow over a stretching sheet. J King Saud Univ Sci2013; 25: 107–113.
67.
AkbarNSEbaidAKhanZH. Numerical analysis of magnetic field effects on Eyring-Powell fluid flow towards a stretching sheet. J Magn Magn Mater2015; 382: 355–358.
