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Buoyancy effect on the chemically reactive flow of Cross nanofluid over a shrinking surface: Dual solution
International Communications in Heat and Mass Transfer ( IF 6.4 ) Pub Date : 2021-07-12 , DOI: 10.1016/j.icheatmasstransfer.2021.105438
Abdul Hafeez 1, 2 , Muhammad Yasir 1 , Masood Khan 1 , M.Y. Malik 3 , Ali S. Alqahtani 3
Affiliation  

Stagnation point flow of steady two dimensional Cross fluid by a shrinking surface is investigated with the influence of nanoparticles. With the help of Fourier's and Fick's laws, the heat and mass transport mechanisms are performed. The chemical reaction is also considered here. For the solution of the problem, the numerical technique is employed to explore the multiple solutions of the problem. Dual solutions exist in the range χc < χ and Sc < S in which χc and Sc are the critical points. The obtained numerical results are discussed for skin-friction, heat and mass transfers, velocity profiles, respectively. Results reveal that, the velocity profile enhances in the upper branch solution with the increment in buoyancy ratio parameter. Further, it is found that the skin friction coefficient increases in the upper branch solution as mass transfer parameter rises while reduces in the lower branch. Further, in both branches, the rate of heat transfer enhances by taking higher estimation of Prandtl number.



中文翻译:

Cross 纳米流体在收缩表面上的化学反应流动的浮力效应:双重解决方案

在纳米粒子的影响下研究了收缩表面的稳态二维交叉流体的驻点流动。在傅立叶和菲克定律的帮助下,执行了热量和质量传输机制。这里也考虑了化学反应。对于问题的求解,采用数值技术来探索问题的多重解。对偶解存在于χ c  <  χS c  <  S范围内,其中χ cS c是关键点。分别针对表面摩擦、传热和传质、速度分布讨论了获得的数值结果。结果表明,随着浮力比参数的增加,上支解中的速度剖面增强。此外,发现表面摩擦系数在上部分支溶液中随着传质参数的增加而增加,而在下部分支中减小。此外,在两个分支中,通过对普朗特数进行更高的估计,传热速率得到提高。

更新日期:2021-07-12
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