Effects of chemical reaction, Soret and Dufour parameters on MHD dissipative Williamson nanofluid flow over a slippery stretching sheet through a porous medium

ABSTRACTThe goal of this study is to determine the effects of Soret, Dufour, and chemical reaction parameters on 2-D MHD Williamson nanofluid flow over a slippery-stretching sheet immersed in a porous medium. Under the influence of both magnetic field and thermal radiation, the significance of viscous dissipation and velocity slip boundary condition with heat generation have been explored. Similarity components were used to turn the nonlinear Partial Differential Equations (PDEs) into nonlinear Ordinary Differential Equations (ODEs), and they were solved using the fourth-order approach of the Runge–Kutta (R–K) method along with the shooting technique. The numerical computations were subsequently illustrated visually to demonstrate the influence of various physical factors on the plots of temperature, velocity, and concentration of the nanofluid. With the use of comparison with previously published data in a restricted sense, the veracity of computation results is evaluated. The tabular values illuminate that the local skin friction coefficient upsurge as the values of the magnetic parameter, porosity parameter, and Brownian motion parameter intensifies, whereas the opposite trend exists for other parameters. The local Nusselt number grows as the Schmidt number rises whereas the reverse trend was experienced for the freed-up parameters.KEYWORDS: Williamson nanofluid flowmagnetohydrodynamics (MHD)porous mediumslippery-stretching sheet Nomenclature C=concentration of the nanoparticles mol/LCw=surface nanoparticles concentration molL−1Kr=chemical reaction constant s−1a=Stretching velocit s−1T∞=free stream temperature KT=temperature of the nanofluidTm=mean nanofluid temperatureC∞=free nanoparticle concentration mol/LB0=Strength of the uniform magnetic field Tg=gravitational acceleration ms−2Dm=coefficient of mass diffusivitDB=Brownian diffusion coefficient m2s−1f=dimensionless stream functionk=permeability of porous medium m2kT=ratio of thermal diffusionk∗=mean absorption coefficient m−1cs=concentration susceptibilitycp=specific heat at constant pressure JKg−1K−1We=local Weissenberg numberPr=Prandtl numberQ0=heat generation (absorption) coefficient JK−1m−3s−1Q=heat generation parameterDu=Dufour (Diffusion- Thermo) parameterS=suction parameterSc=Schmidt numberSr=soret parameterK=porous parameterM=magnetic field parameterCf=skin friction coefficientCw=Surface nanoparticle concentration mol/LT=nanofluid temperature KR=radiation parameterTw=surface temperature KNb=Brownian motion parameter m−1Nt=thermophoresis parameterNux∼=local nusselt numberShux=local Sherwood parameteru=velocity on x-directionv=velocity on y-directionGreek symbols=θ=dimensionless temperaturev=kinematic viscosity m2s−1Γ=Williamson parameter sμ=CoefficientofviscosityKgm(−1s(−1))ρ=densityofthefluidKgm(−3)σ=electricalconductivitySm(−1)σ∗=Stefan−Boltzmannconstant\breakWm(−2K(−4))κ=thermal conductivity Wm−1K−1ϕ=dimensionlessconcentrationSuperscripts=W=wall condition‘=differentiation with respect to η∞=free stream conditionDisclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThe authors received no financial support for the research, authorship, and publication of this article.Notes on contributorsR. Madan KumarR. Madan Kumar received his post-graduation degree in Pure Mathematics in 2008 and Master of Philosophy in Fluid Dynamics in 2012 from Sri Venkateswara University, Tirupati, Andhra Pradesh, India. He has been working as a Mathematics Mentor from 2008 to till date and worked as an E-Mathematics Content developer (2009 to 2014) at Rajiv Gandhi University of Knowledge Technologies, Idupulapaya, Andhra Pradesh, India. Currently, he is a researcher scholar, working in the area of Fluid Dynamics at GITAM School of Sciences (deemed to be a university), Hyderabad Campus, India. His main interest areas are Newtonian and Non-Newtonian fluids, the applications of nanofluids, Soret and Dufour effects, Heat and Mass Transfer, and Numerical Techniques.R. Srinivasa RajuDr. R. Srinivasa Raju is presently working as an Associate Professor at GITAM School of Science, GITAM (Deemed to be University), Hyderabad Campus, Rudraram, Hyderabad, Telangana state, India. He acquired his Doctorate in Applied Mathematics from Osmania University in 2012, and he also received his Master of Science in Applied Mathematics from Osmania University in 2005. He has over 115 publications in International and National reputed Journals. He also attended and paper presented in various National and International Conferences. He has published a book entitled Finite Element Technique on MHD Fluid Flow Problems by RIGI Publications. He serves as an editorial member for four international journals. He is a member of several National and International Mathematical Societies. He received the Srinivasa Ramanujan Life Time Achievement National Award in the year 2018. He has also received the Prestigious Award for Young Educator and Scholar Award from the National Foundation for Entrepreneurship Development (NFED) in the year 2018. He has produced 4 doctoral candidates. He is currently supervising 10 research scholars.M. Anil KumarDr. M. Anil kumar working as an Associate professor in the Department of Mathematics, at Anurag University. In the year 2020, he obtained his Doctorate from GITAM (Deemed to be University), Visakhapatnam, India, and in 2005, he received his Master of Science in Applied Mathematics from the National Institute of Technology Warangal. Dr. Anil kumar has over 18 years of teaching experience and over 8 years of research experience. He received the Best Teacher award from Anurag University for the academic year 2022-2023. He has 23 publications to his credit in reputed national and international journals. He received a SEED money project from Anurag University of Rs 2 lakhs for the Academic year 2021-22. He received the patent right in Micropolar fluids from Intellectual Property of India in 2022. He also presented papers at various National and International conferences. He is a member of several National and International Mathematical Societies. His research areas include Fluid mechanics, Heat, and Mass transfer. He is currently supervising one research scholar.