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پیش‌بینی ضریب دراگ برای حباب در حال صعود در یک سیال غیر نیوتونی | ||
| نشریه مهندسی مکانیک امیرکبیر | ||
| مقاله 8، دوره 52، شماره 4، تیر 1399، صفحه 863-880 اصل مقاله (1.69 M) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22060/mej.2019.14927.5977 | ||
| نویسندگان | ||
| صفورا کریمی* 1؛ مجتبی شفیعی2؛ آنا عبیری1؛ فرزاد قدم3 | ||
| 1دانشکده مهندسی شیمی، دانشگاه صنعتی جندی شاپور، دزفول، ایران | ||
| 2دانشکده مهندسی شیمی، دانشگاه صنعتی جندی شاپور، دزفول، ایـران | ||
| 3دانشکده مهندسی مکانیک، دانشگاه صنعتی جندی شاپور، دزفول، ایران | ||
| چکیده | ||
| در مطالعه‌ی حاضر به صورت آزمایشگاهی ضریب دراگ حباب تک در حال صعود در سیال غیرنیوتونی مورد مطالعه قرار گرفته است. برای این منظور محلول پلی آکریل آمید با غلظت‌های مختلف انتخاب شد. این محلول سیال غیرنیوتونی با خاصیت ویسکوالاستیک است. آزمایشات با قطر نازل‌های مختلف، برای حباب‌های گازی هوا، اکسیژن و دی‌اکسیدکربن و در دبی‌های تزریق مختلف انجام شده است. از این رو نتایج نسبت به مطالعات گذشته جامعیت بیشتری دارد. مقایسه‌ی بین نتایج به دست آمده با سایر معادلات نشان داد که هیچکدام از این روابط نمی‌توانند ضریب دراگ حباب در حال صعود درون سیال غیرنیوتونی با خاصیت ویسکوالاستیک را به خوبی پیش‌بینی کنند. از این رو به کمک تحلیل ابعادی، دو رابطه‌ی جدید برای پیش‌بینی ضریب دراگ برحسب اعداد بدون بعد رینولدز، ارشمیدس و اتوس ارائه شد. معادله‌ی اول که مستقیما از آنالیز ابعادی به دست آمده است نسبت به معادله‌ی دوم ساده‌تر بوده و متوسط درصد خطای پیش‌بینی آن 26 / 3 % است. این درحالی است که متوسط خطای پیش‌بینی معادله‌ی ارائه‌ی دوم که از لحاظ فرمولاسیون پیچیده‌تر می‌باشد در حدود 7/ 1 % به دست آمده است. علاوه بر آن معادلات جدیدی برای پیش بینی سرعت حد و همچنین بررسی رفتار حباب در حال صعود در سیال غیرنیوتونی ویسکوالاستیک ارائه شده است. | ||
| کلیدواژه‌ها | ||
| آنالیز ابعادی؛ پلی آکریل آمید؛ حرکت حباب؛ سرعت حد؛ سیال ویسکوالاستیک | ||
| عنوان مقاله [English] | ||
| The Drag Coefficient Prediction of a Rising Bubble through a Non-Newtonian Fluid | ||
| نویسندگان [English] | ||
| Safoora Karimi1؛ Mojtaba Shafiee2؛ Anna Abiri1؛ Farzad Ghadam3 | ||
| 1Department of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran | ||
| 2Department of Chemical Engineering, Faculty of Chemical Engineering, Jundi-Shapur University of Technology, Dezful, Iran | ||
| 3Department of Mechanical Engineering, Jundi-Shapur University of Technology, Dezful, Iran | ||
| چکیده [English] | ||
| In the present research, the drag coefficient of a single bubble rising in the non-Newtonian fluid has been investigated. Polyacrylamide solutions were selected with different concentrations as a Non-Newtonian fluid. As known, these solutions have viscoelastic properties which strongly influence the drag coefficient. The experiments have been done with different nozzle diameters, for three types of gas (Air, and ) at different injection flow rates. Hence, the results are more comprehensive than in previous studies. A comparison between the obtained results and the equations in other studies showed that none of these relationships can predict the drag coefficient of a bubble rising in a non-Newtonian fluid with a viscoelastic property. Therefore, two new correlations have been presented to predict the drag coefficient based on Reynolds, Archimedes and Eötvös dimensionless number by dimensional analysis. The first equation which obtained directly from the dimensional analysis was simpler than the second equation. The average error of the first equation was 3.26%, while, the average prediction error of the second equation was about 1.7%, which is more complex in terms of formulation. In addition, new equations for predicting terminal velocities and the behavior of bubble rising in a non-Newtonian viscoelastic fluid are presented. | ||
| کلیدواژه‌ها [English] | ||
| Bubble motion, Dimensional analysis, Polyacrylamide, Terminal velocity, Viscoelastic fluid | ||
| مراجع | ||
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