Thermo-fluidic Behaviour of Maxwell - Type Hybrid Nano fluids under MHD and Radiative Effects with Wall Slip
Resumen
Mathematicalmodellingisvital forunderstandingandoptimizingNanofluiddynamics in
electroniccoolingsystems. Itenablesresearcherstopredictfluidbehavior,enhanceheattransferperfor
mance,anddesignmoreefficientsystemswithfewerexperimentaltrials.Thisstudypresentsacomprehensive
computational analysis of hybridgraphene-basedNanofluidflowover a stretching surface, incorporating
magnetohydrodynamic(MHD)effects,nonlinearthermalradiation,chemicalreactions,andviscoelasticprop
erties. ThehybridNanofluidcomprisesgrapheneoxideandcoppernanoparticlesdispersedinaNewtonian
basefluid. TheBuongiornomodel accounts fornanoparticlemigrationdue toBrownianmotionandther
mophoresis,while theMaxwellmodel capturesViscoelasticbehavior.Second-order slipboundaryconditions
areimposedtoreflectmicroscaleeffectsrelevantinbiomedicalandmicrofluidicsystems.
Thegoverningpartial differential equations formomentum, energy, andnanoparticleconcentrationare
transformedintoasystemofcoupled,nonlinearordinarydifferentialequationsusingsimilaritytransformations.
Thesearesolvednumericallyviatheshootingmethodcombinedwiththefourth-orderRunge–Kuttaalgorithm
andNewton’siteration.Tovalidatetheresults,MATLAB’sbuilt-insolverbvp4cisalsoemployed.
Theimpactofvariousdimensionlessparameters, includingthemagneticfieldstrength,Weissenbergnum
ber, radiationparameter,Brownianmotion, thermophoresis,andslipcoefficients, issystematicallyanalyzed.
Findings indicatethatanincreasedmagneticfieldreducesfluidvelocityviatheLorentz forceandthickens
thethermalboundarylayer.Thermalradiationelevatesfluidtemperature,whileslipeffectsreducewallshear
stressandheattransferrates.Enhancedthermophoresisleadstoincreasednanoparticlemigration, influencing
bothtemperatureandconcentrationfields.
Comparisonswithexistingliteraturevalidatethemodelandhighlightitsrelevancetothedesignofadvanced
thermal systems,biomedicaldevices,andmicrofluidicapplications. Thisstudyoffersarobustmathematical
frameworkforanalyzinghybridnanofluidbehaviorundercomplexphysicalconditions.
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Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
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