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A chemical engineering application on hyperbolic tangent flow examination about sphere with Brownian motion and thermo phoresis effects using BVP5C

N. Vedavathi, G. Dharmaiah, Samad Noeiaghdam, Unai Fernández‐Gámiz

2022Case Studies in Thermal Engineering32 citationsDOIOpen Access PDF

Abstract

Brownian motion and thermophoresis impacts are discussed in relation to a tangent hyperbolic fluid encircling a sphere subject to a convective boundary condition and a Biot number. Concentration boundary conditions involving a wall normal flow of zero nanoparticles are an unexplored area of research. The governing non-linear BVP is transformed into a higher-order non-linear ODE using similarity transformations. Following equations were numerically solved for various values of emerging parameters using the matlab function bvp5c. Calculated values for velocity, concentration, temperature, the skin friction coefficient, Sherwood and Nusselt numbers are all shown, tabulated for analysis. Laminar boundary layer flow and heat transfer from a sphere in two-dimensional nano fluid is the novelty of the current work. The Weissenberg number decreases the velocity boundary layer thickness. The Biot number parameter lowers the field's temperature and speed.

Topics & Concepts

Biot numberNusselt numberWeissenberg numberThermophoresisBoundary layerLaminar flowSherwood numberMechanicsParasitic dragBrinkman numberExternal flowBrownian motionFluid dynamicsClassical mechanicsFlow (mathematics)Heat transferPhysicsReynolds numberNanofluidTurbulenceQuantum mechanicsNanofluid Flow and Heat TransferFluid Dynamics and Turbulent FlowsHeat Transfer Mechanisms