پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 163 |
| تعداد شمارهها | 6,762 |
| تعداد مقالات | 72,830 |
| تعداد مشاهده مقاله | 131,691,905 |
| تعداد دریافت فایل اصل مقاله | 103,451,033 |
Analytical Solutions for Heat Transfer and Flow of Thin Film on an Inclined Wall Using the Optimal Homotopy Asymptotic Method | ||
| Journal of Computational Applied Mechanics | ||
| دوره 56، شماره 2، تیر 2025، صفحه 396-410 اصل مقاله (479.1 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2025.390180.1359 | ||
| نویسندگان | ||
| Muhammad Farooq1؛ Faridoon Shahid1؛ Sapna Ayaz1؛ Yusif S. Gasimov2؛ Ibrahim Alraddadi3؛ Hijaz Ahmad* 3، 4، 5 | ||
| 1Department of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan | ||
| 2Department of Mathematics and Informatics, Azerbaijan University, Baku, Azerbaijan | ||
| 3Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia | ||
| 4Operational Research Center in Healthcare, Near East University, Nicosia, 99138, Turkey | ||
| 5Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea | ||
| چکیده | ||
| This study explores the analytical solutions for the non-isothermal couple stress fluid in thin-film flow over an inclined plane. The strongly nonlinear ordinary differential equations governing the momentum and energy transport are derived and solved analytically using the Optimal Homotopy Asymptotic Method (OHAM) under appropriate boundary conditions. The study provides explicit expressions for temperature distribution, vorticity, shear stress, volume flow rate, and velocity profile. A comprehensive comparison of numerical and graphical results demonstrates good agreement, validating the accuracy of the proposed method. The findings contribute to understanding heat transfer and fluid dynamics in industrial, biomedical, and engineering applications. Additionally, the influence of key parameters such as couple stress effects, heat transfer rates, and thin-film thickness variations are analyzed in detail. The study’s results can be applied in lubrication systems, microfluidics, and coating technologies, where non-Newtonian fluid behavior plays a crucial role. The effectiveness of OHAM in handling nonlinear problems is highlighted, showcasing its advantages over conventional numerical techniques. The study further emphasizes the significance of thermophysical properties in determining flow characteristics, offering valuable insights for researchers and engineers in applied fluid mechanics. | ||
| کلیدواژهها | ||
| Couple Stress Fluid؛ Thin Film Flow؛ OHAM؛ Temperature Distribution | ||
| مراجع | ||
|
[1] S. Islam, C. Zhou, Exact solutions for two dimensional flows of couple stress fluids, Zeitschrift für angewandte Mathematik und Physik, Vol. 58, No. 6, pp. 1035-1048, 2007.
[2] C. Fetecau, C. Fetecau, The first problem of Stokes for an Oldroyd-B fluid, International Journal of Non-Linear Mechanics, Vol. 38, No. 10, pp. 1539-1544, 2003/12/01/, 2003.
[3] K. R. Rajagopal, T.-Y. Na, On Stokes' problem for a non-Newtonian fluid, 1983.
[4] K. Rajagopal, A note on unsteady unidirectional flows of a non-Newtonian fluid, International Journal of Non-Linear Mechanics, Vol. 17, No. 5-6, pp. 369-373, 1982.
[5] R. A. Shah, S. Islam, A. Siddiqui, T. Haroon, Heat transfer by laminar flow of an elastico-viscous fluid in posttreatment analysis of wire coating with linearly varying temperature along the coated wire, Heat and Mass Transfer, Vol. 48, pp. 903-914, 2012.
[6] M. K. Alam, A. M. Siddiqui, M. T. Rahim, S. Islam, Thin-film flow of magnetohydrodynamic (MHD) Johnson–Segalman fluid on vertical surfaces using the Adomian decomposition method, Applied Mathematics and Computation, Vol. 219, No. 8, pp. 3956-3974, 2012.
[7] M. K. Alam, M. T. Rahim, E. J. Avital, S. Islam, A. M. Siddiqui, J. Williams, Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method, Journal of the Franklin Institute, Vol. 350, No. 4, pp. 818-839, 2013.
[8] C.-I. Chen, C.-K. Chen, Y.-T. Yang, Unsteady unidirectional flow of an Oldroyd-B fluid in a circular duct with different given volume flow rate conditions, Heat and Mass transfer, Vol. 40, pp. 203-209, 2004.
[9] W. Tan, T. Masuoka, Stokes’ first problem for a second grade fluid in a porous half-space with heated boundary, International Journal of Non-Linear Mechanics, Vol. 40, No. 4, pp. 515-522, 2005/05/01/, 2005.
[10] A. Siddiqui, R. Mahmood, Q. Ghori, Some exact solutions for the thin film flow of a PTT fluid, Physics Letters A, Vol. 356, No. 4-5, pp. 353-356, 2006.
[11] A. M. Siddiqui, R. Mahmood, Q. Ghori, Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder, Physics Letters A, Vol. 352, No. 4-5, pp. 404-410, 2006.
[12] A. Siddiqui, M. Ahmed, Q. Ghori, Thin film flow of non-Newtonian fluids on a moving belt, Chaos, Solitons & Fractals, Vol. 33, No. 3, pp. 1006-1016, 2007.
[13] A. Siddiqui, R. Mahmood, Q. Ghori, Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane, Chaos, Solitons & Fractals, Vol. 35, No. 1, pp. 140-147, 2008.
[14] T. Hayat, M. Sajid, On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder, Physics Letters A, Vol. 361, No. 4-5, pp. 316-322, 2007.
[15] M. Sajid, N. Ali, T. Hayat, On exact solutions for thin film flows of a micropolar fluid, Communications in nonlinear science and numerical simulation, Vol. 14, No. 2, pp. 451-461, 2009.
[16] H. I. Andersson, D.-Y. Shang, An extended study of the hydrodynamics of gravity-driven film flow of power-law fluids, Fluid dynamics research, Vol. 22, No. 6, pp. 345, 1998.
[17] B. Rao, Heat transfer to a falling power-law fluid film, International journal of heat and fluid flow, Vol. 20, No. 4, pp. 429-436, 1999.
[18] D.-Y. Shang, Heat transfer in gravity-driven film flow of power-law fluids, International Journal of Heat and Mass Transfer, Vol. 42, No. 11, pp. 2085-2099, 1999.
[19] N. V. Lavrik, C. A. Tipple, M. J. Sepaniak, P. G. Datskos, Gold nano-structures for transduction of biomolecular interactions into micrometer scale movements, Biomedical Microdevices, Vol. 3, pp. 35-44, 2001. | ||
|
آمار تعداد مشاهده مقاله: 149 تعداد دریافت فایل اصل مقاله: 66 |
||
سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب