Numerical study of transient chemical reactive magnetized Casson fluid flow in the presence of Newtonian heating

Abstract

ABSTRACTThe numerical results of transient magnetohydrodynamic (MHD) Casson fluid flow under Soret-Dufour aspects are illustrated in this research. The governing dimensional equations of considered Casson fluids are first converted into dimensionless partial differential equations (PDEs) by utilizing the proper similar variables. The obtained system is then computed through the finite element method (FEM). The impact of dimensionless parameters is visualized on fluid velocity, skin friction, temperature, Nusselt number, concentration, and Sherwood number through the curves and tables. Both the temperature and velocity are risen against the higher Dufour number. It has been observed that the velocity profiles step up with the increment in various parameters. Comparisons are made with the available results in the open literature. These results are in good agreement with the previously published reports.KEYWORDS: transient flowMHDCasson fluidSoret-Dufour effectsFinite element method Nomenclature τ=ShearStressτ0=CassonyieldStressα∗=Shearrateμβ=PlasticdynamicviscosityNsm−1Py=Yieldstressfluideij= i.jthcomponentofdeformationrateu ′=Velocitythefluidms−1k=ThermalconductivityofthefluidWm−1K−1k∗=Absorptioncoefficientcp=Specificheattransferflow\breakatconstantpressureJkg−1K−1cs=ConcentrationsusceptibilityF=QuadraticdragcoeficientT ′=FluidtemperatureKT∞′=TemperaturefarawayfromtheplateKC′=Speciesconcentrationmolm−3C∞′=Speciesconcentrationfaraway\breakfromtheplatemolm−3Q0=Volumetricrateofheat\breakgenerationorabsorptiong=GravitationalaccelerationB0=MagitudeofmagneticfieldU=Wallvelocityofthefluidms−1hs=Heattransfercoefficientqr′=RadiativeheatfluxD=Massdiffusivitym2s−1DCT=SoretdiffusivityPr=PrandtlnumberGr=ThermalGrashofnumberGm=MassGrashofnumberM=MagneticfieldK=Permeabilityparameterk ′=PermeabilityofporousmediumR=RadiationParameterEc=ViscousdissipationQ=HeatabsorptionSc=Schmidtnumberkr=ChemicalreactioncoefficientKr=ChemicalreactionparameterGreek symbols=ρ=Fluiddensitykgm−3βT=Volumeexpansionfactor\breakforheattransportationβC=Volumeexpansionfactor\breakformasstransportationμ=Dynamicviscositykgm−1s−1Cf=Skinfrictionα=Cassonparameterγ=ConjugateparameterΓ=Forchheimernumberω=Frequencyparameterθ=DimensionlesstemperatureC=Dimensionless\,concentrationσ=Magneticpermeabilityofthefluidv=KinematiccoefficientofviscositySubscripts=w=Wallcondition∞=FreestreamconditionDisclosure statementNo potential conflict of interest was reported by the authors.Additional informationNotes on contributorsGollapalli ShankarMr. Gollapalli Shankar is an Assistant Professor in the Department of Mathematics, B V Raju Institute of Technology, Narsapur, Medak, Hyderabad, Telangana, India. He submitted his Ph.D. in Mathematics from GITAM University, Hyderabad Campus, Hyderabad, India. He has more than 11 years of teaching experience and 4 years of research. His current research studies include Fluid dynamics, Magnetohydrodynamics, Heat and Mass Transfer, and FEM. He has published 3 research papers in National/International journals.Siva Reddy SheriDr. Siva Reddy Sheri is an Associate Professor in the Department of Mathematics, GITAM School of Science, Hyderabad Campus, Hyderabad, Telangana, India. He received his Ph.D. in the Mathematics from Osmania University, Hyderabad, India. He has more than 20 years of experience of teaching and research. His current area of research studies includes Fluid dynamics, Magnetohydrodynamics, Heat and Mass Transfer and FEM. He completed one major Research Project from Univerty Grants Commission (UGC) [F.No:42-22/2013 (SR) letter dated 12-03-2013]. He has published more than 80 research papers in National/International journals.Sabir Ali ShehzadDr. Sabir Ali Shehzad is an Associate Professor at COMSATS University Islamabad, Sahiwal. He received his Ph.D. in the Mathematics from Quaid-i-Azam University, Islamabad. He has more than 12 years of experience of teaching and research. His current area of research studies includes Fluid dynamics, Magnetohydrodynamics, Heat and Mass Transfer.