Non-linear natural convection and mass transfer flow near a vertical moving porous plate with chemical reaction and Soret effect

被引:2
作者
Jha, Basant Kumar [1 ]
Sarki, Muhammad Nasir [2 ]
机构
[1] Ahmadu Bello Univ, Fac Sci, Dept Math, Zaria, Nigeria
[2] Kebbi State Univ Sci & Technol, Dept Math, Aliero, Nigeria
关键词
Chemical reaction; Natural convection; Vertical porous plate; Thermal diffusion; THERMAL-DIFFUSION; MAGNETIC-FIELD; STOKES PROBLEM; HEAT; TRANSIENT; NANOFLUID; CURRENTS; CHANNEL;
D O I
10.1108/MMMS-04-2018-0063
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Purpose The purpose of this paper is to conduct a theoretical study on steady fully developed non-linear natural convection and mass transfer flow past an infinite vertical moving porous plate with chemical reaction and thermal diffusion effect. Closed-form expressions for dimensionless velocity, concentration, Sherwood number and skin-friction are obtained by solving the present mathematical model. Design/methodology/approach The fully developed steady non-linear natural convection and mass transfer flow near a vertical moving porous plate with chemical reaction and thermal diffusion effect is investigated. The non-linear density variation and Soret effect were taken into consideration. The dimensionless velocity, temperature and concentration profiles were obtained in terms of exponential functions, and were used to compute the governing parameters, skin-friction and Sherwood number. Findings The effect of coefficient of the non-linear density variation with the temperature (NDT) and concentration (NDC) parameter, chemical reaction parameter, thermal diffusion parameter are discussed with the aid of line graphs and tables. The analysis of the result shows that the velocity as well as skin-friction having higher values in the case of non-linear variation of density with temperature and concentration in comparison to linear variation of density with temperature and concentration. It is observed that the velocity and skin-friction increase with an increase in the Soret parameter. Originality/value The aim of this paper is to extend the work of Muthucumaraswamy (2002) by incorporating the thermal diffusion (Soret) effect and non-linear density variation with temperature (NDT) and concentration (NDC), on which, to the best knowledge of the authors, no studies have been carried out.
引用
收藏
页码:846 / 858
页数:13
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