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Contributions of variable viscosity and thermal conductivity on the dynamics of non-Newtonian nanofluids flow past an accelerating vertical plate

T. Gladys, G. Venkata Ramana Reddy

2022Partial Differential Equations in Applied Mathematics19 citationsDOIOpen Access PDF

Abstract

The present study is focused on the contributions of variable viscosity and thermal conductivity on the dynamics of non-Newtonian nanofluids flow with nonlinear buoyancy force. A constant magnetic field is applied transversely to the flow direction. The nonlinear couples partial differential equations (PDEs) and the boundary conditions were reduced into system of ordinary differential equations by using appropriate transformation. The transformed equations were solved by utilizing spectral homotopy analysis method (SHAM) and spectral relaxation method (SRM). A higher value of Casson parameter was noticed to decrease the velocity profile. The outcome of this paper was compared with previously published works and was in good agreement.

Topics & Concepts

NanofluidHomotopy analysis methodMechanicsBoundary value problemViscosityNonlinear systemBuoyancyNewtonian fluidFlow (mathematics)Thermal conductivityOrdinary differential equationPartial differential equationNon-Newtonian fluidPhysicsMathematicsClassical mechanicsThermodynamicsDifferential equationMathematical analysisHeat transferQuantum mechanicsNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsRheology and Fluid Dynamics Studies
Contributions of variable viscosity and thermal conductivity on the dynamics of non-Newtonian nanofluids flow past an accelerating vertical plate | Litcius