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Influence of Chemically Reacting Ferromagnetic Carreau Nanofluid over a Stretched Sheet with Magnetic Dipole and Viscous Dissipation

Rana Muhammad Akram Muntazir, Muhammad Mushtaq, S. Shahzadi, Kanwal Jabeen

2021Mathematical Problems in Engineering16 citationsDOIOpen Access PDF

Abstract

Due to potential implications, boundary layer analysis of chemically reacting Carreau nanofluid has been carried out to examine flow properties of ferromagnetic fluid over a stretched sheet in the presence of magnetic dipole, for shear thinning and shear thickening fluids. Furthermore, the transportation of heat under thermal radiation, heat generation, the Brownian, and thermophoresis aspects has been evaluated. The dimensionless form of highly nonlinear coupled partial differential equations is obtained using suitable similarity transformations and then solved numerically by well-known <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mtext>bvp</a:mtext> <a:mn>4</a:mn> <a:mtext>c</a:mtext> </a:math> technique via MATLAB based on the shooting method. The outcomes of physical quantities are presented through graphs and numerical benchmarks. Moreover, outcomes for skin fraction, Sherwood and Nusselt numbers for velocity, concentration, and temperature are also estimated in this study. The present study reveals that the concentration and thermal boundary layer thicknesses were higher for shear thinning <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"> <c:mfenced open="(" close=")" separators="|"> <c:mrow> <c:mi>n</c:mi> <c:mo>&lt;</c:mo> <c:mn>1</c:mn> </c:mrow> </c:mfenced> </c:math> fluid when compared with shear thickening <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" id="M3"> <h:mfenced open="(" close=")" separators="|"> <h:mrow> <h:mi>n</h:mi> <h:mo>&gt;</h:mo> <h:mn>1</h:mn> </h:mrow> </h:mfenced> </h:math> fluids, but reverse effects are to be observed for momentum boundary layer thickness.

Topics & Concepts

NanofluidCarreau fluidNusselt numberShear thinningBoundary layerMaterials sciencePrandtl numberThermophoresisMechanicsThermodynamicsPhysicsHeat transferViscosityComposite materialReynolds numberTurbulenceNanofluid Flow and Heat TransferHeat Transfer MechanismsFluid Dynamics and Turbulent Flows