具有Arrhenius活化能的放热/吸热化学反应对热辐射下MHD自由对流和传质流动的影响

K. Maleque
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引用次数: 99

摘要

研究了非定常MHD自然对流传热传质边界层在热辐射作用下流过平板多孔板的局部相似解。本文还研究了具有阿伦尼乌斯活化能的放热和吸热化学反应对速度、温度和浓度的影响。通过引入局部相似变换,将控制偏微分方程简化为常微分方程(Maleque(2010))。利用Nachtsheim-Swigert迭代技术,采用龙格-库塔法和射击法,得到了简化后的非线性相似方程的数值解。得到了定常和非定常情况下的数值解的结果,并以速度、温度和浓度曲线的形式图形化地表示出来。对稳态流()进行了比较,结果与Bestman(1990)非常吻合,因此鼓励使用本计算方法。
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Effects of Exothermic/Endothermic Chemical Reactions with Arrhenius Activation Energy on MHD Free Convection and Mass Transfer Flow in Presence of Thermal Radiation
A local similarity solution of unsteady MHD natural convection heat and mass transfer boundary layer flow past a flat porous plate within the presence of thermal radiation is investigated. The effects of exothermic and endothermic chemical reactions with Arrhenius activation energy on the velocity, temperature, and concentration are also studied in this paper. The governing partial differential equations are reduced to ordinary differential equations by introducing locally similarity transformation (Maleque (2010)). Numerical solutions to the reduced nonlinear similarity equations are then obtained by adopting Runge-Kutta and shooting methods using the Nachtsheim-Swigert iteration technique. The results of the numerical solution are obtained for both steady and unsteady cases then presented graphically in the form of velocity, temperature, and concentration profiles. Comparison has been made for steady flow () and shows excellent agreement with Bestman (1990), hence encouragement for the use of the present computations.
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