Open Access

ARTICLE

CHEMICALLY REACTIVE VISCOELASTIC FLUID FLOW IN PRESENCE OF NANO PARTICLE THROUGH POROUS STRETCHING SHEET

S. M. Arifuzzaman^1,* , Md. Shakhaoath Khan² , Khan Enaet Hossain¹ , Md. Sirajul Islam³ , Sonia Akter³, Raju Roy¹

1 Mathematics Discipline, Khulna University, Khulna, 9208, Bangladesh
2 Discipline of Chemical Engineering, University of Newcastle, Callaghan, NSW 2308, Australia
3 Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh

* Corresponding Authors: Email: (SM Arifuzzaman); (MS Khan)

Frontiers in Heat and Mass Transfer 2017, 9, 1-12. https://doi.org/10.5098/hmt.9.5

Abstract

Present study concerned with the theoretical work with numerical investigation of MHD transient naturally convective and higher order chemically reactive viscoelastic fluid with nano-particle flow through a vertical porous stretching sheet with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form were transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) was employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the obtained set of nonlinear coupled ODEs. For optimizing the system parameter and accuracy of the system, the stability and convergence analysis (SCA) was carried out. It was observed that with initial boundary conditions, for Present study concerned with the theoretical work with numerical investigation of MHD transient naturally convective and higher order chemically reactive viscoelastic fluid with nano-particle flow through a vertical porous stretching sheet with the effects of heat generation and radiation absorption. A boundary layer approximation is carried out to develop a flow model representing time dependent momentum, energy, and concentration equations. The governing model equations in partial differential equations (PDEs) form were transformed into a set of nonlinear ordinary differential equation (ODEs) by using non-similar technique. Explicit Finite Difference Method (EFDM) was employed by implementing an algorithm in Compaq Visual Fortran 6.6a to solve the obtained set of nonlinear coupled ODEs. For optimizing the system parameter and accuracy of the system, the stability and convergence analysis (SCA) was carried out. It was observed that with initial boundary conditions, for △τ = 0.005 , △X = 0.20 and △Y = 0.25, the system converged at Prandtl number, P_r ≥ 0.253 and Lewis number, L_e ≥ 0.16. The velocity, temp erature and concentration flow are investigated and shown graphically with the effect of system parameters and numerical comparison.0.005 , 0.20 X  and Y 0.25   , the system converged at Prandtl number, Pr  0.253 and Lewis number, Le  0.16 . The velocity, temperature and concentration flow are investigated and shown graphically with the effect of system parameters and numerical comparison.

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Keywords

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