Open Access Open Access  Restricted Access Subscription Access

Numerical Investigation on Williamson Nanoflow Past a Cylinder Imbedded in an Absorbent Media with Energy Source/Sink: Keller Box Simulation


Affiliations
1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India

This article investigates the nanoflow with base fluid as Williamson along a circular cylinder incorporating non-linear energy generation/absorption embedded in a porous media. The obeying boundary layer balances for flow field, energy and diffusion transfer are modelled under Boussinesq approximation. Dimensional partial differential equations have been converted to dimensionless partial differential equations by adaptable non-similar variables. Obtained partial differential equations have been handled by Thomas algorithm of solving partial differential equations. It is finite difference method usually named as Keller box method. Varied fluid parameters like Williamson, porous, radiation, heat source/sink, buoyancy ratio and inertial force parameter characteristics on the flow field are graphically illustrated. Additionally, shear friction, heat and mass transfer rate have been estimated for the flow control parameters. Stream wise velocity improves, the skin friction coefficient decreases. As non-uniform heat generation parameter improves, the energy transfer rate and friction factor increase since more heat transfer from the wall have been absorbed by the fluid. Concentration rate near the cylinder wall decreases as energy producing is more in the fluid.

Keywords

Keller box method, Radiation, Williamson fluid, Soret and Dufour number, Forchheimer number, Heat source and sink
User
Notifications
Font Size

Abstract Views: 16




  • Numerical Investigation on Williamson Nanoflow Past a Cylinder Imbedded in an Absorbent Media with Energy Source/Sink: Keller Box Simulation

Abstract Views: 16  | 

Authors

B Vinoth Kumar
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
T Poornima
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India

Abstract


This article investigates the nanoflow with base fluid as Williamson along a circular cylinder incorporating non-linear energy generation/absorption embedded in a porous media. The obeying boundary layer balances for flow field, energy and diffusion transfer are modelled under Boussinesq approximation. Dimensional partial differential equations have been converted to dimensionless partial differential equations by adaptable non-similar variables. Obtained partial differential equations have been handled by Thomas algorithm of solving partial differential equations. It is finite difference method usually named as Keller box method. Varied fluid parameters like Williamson, porous, radiation, heat source/sink, buoyancy ratio and inertial force parameter characteristics on the flow field are graphically illustrated. Additionally, shear friction, heat and mass transfer rate have been estimated for the flow control parameters. Stream wise velocity improves, the skin friction coefficient decreases. As non-uniform heat generation parameter improves, the energy transfer rate and friction factor increase since more heat transfer from the wall have been absorbed by the fluid. Concentration rate near the cylinder wall decreases as energy producing is more in the fluid.

Keywords


Keller box method, Radiation, Williamson fluid, Soret and Dufour number, Forchheimer number, Heat source and sink