کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
783361 1465314 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the exact results of a non-linear model arising in catalytic reaction in a flat particle with power kinetics reaction rate
ترجمه فارسی عنوان
در مورد نتایج دقیق یک مدل غیر خطی ناشی از واکنش کاتالیزوری در یک ذره مسطح با سرعت واکنش قدرت سینتیک
کلمات کلیدی
راه حل دقیق تحلیلی، سرعت واکنش سینتیک، واکنش کاتالیستی، ذرات مسطح راه حل های چندگانه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• The strongly non-linear mathematical model describing catalytic reaction in a flat particle with power kinetics n-th order reaction rate is revisited and new results for further physical interpretation are obtained.
• Three new functions namely MCR, MCR1 and MCR2 are introduced to discover exact analytical solutions of the model.
• A full discussion is given and, it is also revealed that the problem may admit no solution, unique, dual or even more triple solutions depending on the values of the parameters of the model.

The latest study of a model of heat and mass transfer for a catalytic reaction within a porous catalyst flat particle (Journal of the Taiwan Institute of Chemical Engineers 48 (2015) 49–55 [7]) shows that this model can be exactly solved when the reaction rate is taken linear term as f(y)=yf(y)=y, where y is heat within porous catalyst particle. In this paper, the mentioned model is revisited by considering the power kinetics nth order reaction rate instead of a linear reaction term. It is shown that the problem is still exactly tractable. Furthermore, it is revealed that previous results can be recovered from this exactly solvable generalization case. It is also proved that the problem might have multiple stationary solutions (unique, dual and triple solutions) depending on the values of the parameters of the model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 81, May 2016, Pages 95–102
نویسندگان
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