Scholarlink

<p>A semi-analytical study is presented on the nonlinear reaction–diffusion behavior of Langmuir–Hinshelwood (LH) kinetics under strong adsorption in heterogeneous catalytic systems. The governing model is a nonlinear reaction–diffusion equation, where nonlinearity stems from surface adsorption and intrinsic nth order kinetics. Closed-form analytical solutions for concentration profiles are developed using three distinct semi-analytical methods and verified against numerical simulations, showing excellent agreement. Limiting cases are examined to provide mechanistic insights, while parametric analysis highlights the effects of adsorption strength and kinetic parameters on concentration distribution and effectiveness factor. The proposed framework provides an efficient and accurate tool for understanding and optimizing nonlinear reaction–diffusion phenomena in heterogeneous catalysis.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Nonlinear reaction–diffusion behavior in nth order heterogeneous catalysis via Langmuir–Hinshelwood kinetics

  • 期刊论文

  • 发表日期：

    2025年9月11日

查看全文
  • S. Krishnakumar,
  • P. Jeyabarathi,
  • K. Lakshmi Narayanan,
  • L. Rajendran

摘要

A semi-analytical study is presented on the nonlinear reaction–diffusion behavior of Langmuir–Hinshelwood (LH) kinetics under strong adsorption in heterogeneous catalytic systems. The governing model is a nonlinear reaction–diffusion equation, where nonlinearity stems from surface adsorption and intrinsic nth order kinetics. Closed-form analytical solutions for concentration profiles are developed using three distinct semi-analytical methods and verified against numerical simulations, showing excellent agreement. Limiting cases are examined to provide mechanistic insights, while parametric analysis highlights the effects of adsorption strength and kinetic parameters on concentration distribution and effectiveness factor. The proposed framework provides an efficient and accurate tool for understanding and optimizing nonlinear reaction–diffusion phenomena in heterogeneous catalysis.