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A Semi Analytical Study on Non-Linear Boundary Value Problem for MHD Fluid Flow with Chemical Effect | ||
Journal of Heat and Mass Transfer Research | ||
دوره 11، شماره 2 - شماره پیاپی 22، بهمن 2024، صفحه 237-254 اصل مقاله (1.27 M) | ||
نوع مقاله: Full Length Research Article | ||
شناسه دیجیتال (DOI): 10.22075/jhmtr.2024.32722.1510 | ||
نویسندگان | ||
Gandhirajan Petchiammal1؛ Vembu Ananthaswamy* 2 | ||
1Department of Mathematics, V. H. N. Senthikumara Nadar College (Affiliated to Madurai Kamaraj University), Virudhunagar, Tamil Nadu, India | ||
2Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India | ||
تاریخ دریافت: 29 آذر 1402، تاریخ بازنگری: 29 خرداد 1403، تاریخ پذیرش: 29 خرداد 1403 | ||
چکیده | ||
The Runge-Kutta method combined with the shooting technique is used to solve the numerical results of the theoretical model for the electrically conducting micropolar fluid through two parallel plates in the presence of a heat source or sink and first-order chemical reactions in the flow heat and mass transfer equations. This work encourages us to use the Homotopy analysis approach to develop semi-analytical solutions for dimensionless velocity, dimensionless microrotation, dimensionless temperature, and dimensionless concentration. The answers are used to produce the analytical approximations of the physical characteristics, such as the skin friction factor, Nusselt number, and Sherwood number. Additionally, tabular values for the physical parameters, such as the skin friction factor, Nusselt number, and Sherwood number, are provided. Graphs are also used to illustrate how characterizing parameters behave. We found a high correlation between the semi-analytical and numerical findings of this study when we compared our semi-analytical works with the earlier studies. Compared to the prior method, this approach to the model is simpler, and it may be readily extended to find semi-analytical solutions to other MHD and EMHD fluid flow issues in the physical sciences and engineering. | ||
کلیدواژهها | ||
Boundary value problem؛ Chemical reaction؛ Heat and mass transfer؛ Homotopy analysis method؛ MHD fluid flow؛ Micropolar fluid | ||
عنوان مقاله [English] | ||
مطالعه نیمه تحلیلی بر روی مسئله مقدار مرزی غیر خطی برای جریان سیال MHD با اثر شیمیایی | ||
چکیده [English] | ||
روش Runge-Kutta همراه با تکنیک تیراندازی برای حل نتایج عددی مدل نظری برای سیال ریز قطبی رسانای الکتریکی از طریق دو صفحه موازی در حضور منبع گرما یا سینک و واکنشهای شیمیایی مرتبه اول در گرمای جریان استفاده میشود. و معادلات انتقال جرم این کار ما را تشویق میکند تا از رویکرد تحلیل Homotopy برای توسعه راهحلهای نیمه تحلیلی برای سرعت بدون بعد، ریزچرخش بدون بعد، دمای بدون بعد و غلظت بدون بعد استفاده کنیم. از پاسخها برای تولید تقریبهای تحلیلی ویژگیهای فیزیکی، مانند ضریب اصطکاک پوست، عدد ناسلت و عدد شیروود استفاده میشود. علاوه بر این، مقادیر جدولی برای پارامترهای فیزیکی - مانند ضریب اصطکاک پوست، عدد ناسلت و عدد شروود - ارائه شده است. نمودارها همچنین برای نشان دادن نحوه رفتار پارامترهای مشخصه استفاده می شوند. هنگامی که کارهای نیمه تحلیلی خود را با مطالعات قبلی مقایسه کردیم، همبستگی بالایی بین یافته های نیمه تحلیلی و عددی این مطالعه یافتیم. در مقایسه با روش قبلی، این رویکرد به مدل سادهتر است، و ممکن است به آسانی برای یافتن راهحلهای نیمه تحلیلی برای سایر مسائل جریان سیال MHD و EMHD در علوم فیزیکی و مهندسی گسترش یابد. | ||
کلیدواژهها [English] | ||
مشکل ارزش مرزی, واکنش شیمیایی؛ انتقال حرارت و جرم؛ روش آنالیز هموتوپی, جریان سیال MHD؛ سیال میکرو قطبی | ||
مراجع | ||
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