Open Access
ARTICLE
CHEMICALLY REACTIVE VISCOELASTIC FLUID FLOW IN PRESENCE OF NANO PARTICLE THROUGH POROUS STRETCHING SHEET
S. M. Arifuzzaman1,*
, 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.
Keywords
Cite This Article
Arifuzzaman, S. M., Roy, R. (2017). CHEMICALLY REACTIVE VISCOELASTIC FLUID FLOW IN PRESENCE OF NANO PARTICLE THROUGH POROUS STRETCHING SHEET.
Frontiers in Heat and Mass Transfer, 9(1), 1–12. https://doi.org/10.5098/hmt.9.5