Ijaz Misbah, Ayub Muhammad
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
Heliyon. 2019 Apr 9;5(4):e01465. doi: 10.1016/j.heliyon.2019.e01465. eCollection 2019 Apr.
Theoretical investigation is performed to explore the novel aspects of nonlinear thermal radiation and non-uniform heat source/sink for chemically reactive flow of ferromagnetic Maxwell liquid over a permeable stretching sheet. Buongiorno model is employed to include Brownian motion and thermophoresis effects. The novelty of the existing study is to account the effect of binary chemical reaction, viscous dissipation, thermal and solutal stratification for ferromagnetic Maxwell fluid. Governing system of nonlinear partial differential equations is transformed into a system of nonlinear ordinary differential equations with the help of apposite similarity transformations. The acquired resulting nonlinear ODEs are solved numerically with the assistance built-in-shooting method (bvp4c). Effects of emanating variables are examined through graphs and tables. It is evident that heat transfer rate enhances with thermal radiation. It is analyzed that temperature upsurges for greater estimations of thermal radiation , ferromagnetic and thermophoresis parameters however it declines for Prandtl number (Pr) and thermal stratified parameter (S₁). Space and temperature dependent heat sinks are more appropriate for cooling purposes.
进行了理论研究,以探索铁磁麦克斯韦流体在可渗透拉伸片上的化学反应流中非线性热辐射和非均匀热源/热汇的新特性。采用布翁焦尔诺模型来考虑布朗运动和热泳效应。现有研究的新颖之处在于考虑了二元化学反应、粘性耗散、热分层和溶质分层对铁磁麦克斯韦流体的影响。借助适当的相似变换,将非线性偏微分方程组转化为非线性常微分方程组。利用内置打靶法(bvp4c)对所得的非线性常微分方程进行数值求解。通过图表研究了相关变量的影响。显然,热传递速率随热辐射而增强。分析表明,对于热辐射、铁磁和热泳参数的较大估计值,温度会升高,而对于普朗特数(Pr)和热分层参数(S₁),温度会下降。与空间和温度相关的热汇更适合用于冷却目的。