图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际流体力学研究期刊
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN 打印: 2152-5102
ISSN 在线: 2152-5110

国际流体力学研究期刊

DOI: 10.1615/InterJFluidMechRes.v32.i1.10
pages 1-20

Modeling of Multi-Species Contaminant Transport with Spatially-Dependent Dispersion and Coupled Linear/Non-Linear Reactions

Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021

ABSTRACT

A one-dimensional four-species sequential reactive contaminant transport model with spatially-dependent dispersion coefficient and transport velocity is considered. The sequential reactions which take place are assumed to be nonlinear and of arbitrary order. Two types of variations of the dispersion coefficient with the downstream distance are considered. The first type assumes that the dispersivity increases as a power function with distance while the other assumes an exponentially-increasing function. The transport velocity is also assumed to follow a general power-law function with the space coordinate. The general governing equations are non-dimensionalized and solved numerically by an efficient implicit iterative tri-diagonal finite-difference method. Comparisons with previously published analytical solutions for special cases of the problem are performed and found to be in excellent agreement. A parametric study of all physical parameters is conducted and the results are presented graphically to illustrate interesting features of the solutions. It is found that the chemical reaction order, the scale-dependent dispersion coefficient and the non-uniform transport velocity have significant effects on the multi-species concentration profiles.


Articles with similar content:

CHEMICAL REACTION AND RADIATION EFFECTS ON MHD PULSATILE FLOW OF AN OLDROYD-B FLUID IN A POROUS MEDIUM WITH SLIP AND CONVECTIVE BOUNDARY CONDITIONS
Journal of Porous Media, Vol.20, 2017, issue 4
T. Malathy, A. Subramanyam Reddy, Suripeddi Srinivas
Reactive Contaminant Transport with Space-Dependent Dispersion and Time-Dependent Concentration Source
Journal of Porous Media, Vol.10, 2007, issue 4
Ali J. Chamkha, Jasem Al-Humoud
EFFECT OF THERMAL RADIATION ON MIXED CONVECTION FLOW OF A NANOFLUID ABOUT A SOLID SPHERE IN A SATURATED POROUS MEDIUM UNDER CONVECTIVE BOUNDARY CONDITION
Journal of Porous Media, Vol.18, 2015, issue 6
S.M.M. EL-Kabeir, Ahmed M. Rashad, M. Modather
Thermophoresis Particle Deposition: Natural Convection Interaction from Vertical Permeable Surfaces Embedded in a Porous Medium
Journal of Porous Media, Vol.12, 2009, issue 1
Hamzeh M. Duwairi, R. A. Damseh
SQUEEZING FLOW WITH SECOND-ORDER VELOCITY AND THERMAL SLIP CONDITIONS
Heat Transfer Research, Vol.46, 2015, issue 12
Ahmed Alsaedi, A. Qayyum, Tasawar Hayat