HEAT TRANSFER ANALYSIS OF MICRO-POLAR FLUID FLOW OVER AN EXPANDING/CONTRACTING PERMEABLE PLANE WALL Original scientific paper
Article Sidebar
Main Article Content
Abstract
This research examines the stagnation-point flow of a micropolar fluid flowing past a porous, stretching or contracting flat plate, incorporating velocity and thermal slip boundary conditions. The governing partial differential equations are converted into corresponding ordinary differential equations by employing similarity transformations, which are subsequently evaluated numerically by applying a shooting technique. The influence of principal physical parameters on the distributions of velocity, microrotation, and temperature is explored and depicted through graphical representations. Furthermore, computed results for the wall shear stress coefficient and the heat transfer rate across a range of parameter values are provided in tabular format.
Article Details
Issue
Section
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
Authors grant to the Publisher the following rights to the manuscript, including any supplemental material, and any parts, extracts or elements thereof:
- the right to reproduce and distribute the Manuscript in printed form, including print-on-demand;
- the right to produce prepublications, reprints, and special editions of the Manuscript;
- the right to translate the Manuscript into other languages;
- the right to reproduce the Manuscript using photomechanical or similar means including, but not limited to photocopy, and the right to distribute these reproductions;
- the right to reproduce and distribute the Manuscript electronically or optically on any and all data carriers or storage media – especially in machine readable/digitalized form on data carriers such as hard drive, CD-Rom, DVD, Blu-ray Disc (BD), Mini-Disk, data tape – and the right to reproduce and distribute the Article via these data carriers;
- the right to store the Manuscript in databases, including online databases, and the right of transmission of the Manuscript in all technical systems and modes;
- the right to make the Manuscript available to the public or to closed user groups on individual demand, for use on monitors or other readers (including e-books), and in printable form for the user, either via the internet, other online services, or via internal or external networks.
How to Cite
References
[1] K. Vajravelu, D. Rollins, Int. J. Non-Linear Mech.27 (1992) 265-277. https://doi.org/10.1016/0020-7462(92)90085-L.
[2] M. Miklavčič, C. Y. Wang, Q. Appl. Math. 64(2006) 283-290. http://www.jstor.org/stable/43638726.
[3] C.Y. Wang, Int. J. Non-Linear Mech. 43 (2008) 377-382. https://doi.org/10.1016/j.ijnonlinmec.2007.12.021.
[4] T. Fan, Hang Xu, I. Pop, Int. Commun. Heat Mass Transf. 37 (2010) 1440-1446. https://doi.org/10.1016/j.icheatmasstransfer.2010.08.002.
[5] N. Bachok, A. Ishak, I. Pop, ASME J. Heat Transfer, 135 (2013) 054501. https://doi.org/10.1115/1.4023303.
[6] S. Mukhopadhyay, Alexandria Eng. J.52 (2013) 563-569. https://doi.org/10.1016/j.aej.2013.07.004.
[7] R. Rajaraman, R. Muthucumaraswamy, Chem. Ind. Chem. Eng. Q. 30 (2024) 223-230. https://doi.org/10.2298/CICEQ230526025R.
[8] J. Kandasamy, S. Sivasankaran, Aircr. Eng. Aerosp. Technol. 97(2025) 514-521. https://doi.org/10.1108/AEAT-05-2024-0131.
[9] S. Sivasankaran, J. Alqurashi, Open Phys., 23(2025) 1-14. https://doi.org/10.1515/phys-2025-0186.
[10] C. Sulochana, A.L. Nandeppanavar, J. Res. Appl. Mech. Eng. 13 (2025) 1-23. https://ph01.tci-thaijo.org/index.php/jrame/article/view/255478.
[11] A.C. Eringen, J. Math. Mech. 16 (1966) 1–18. http://www.jstor.org/stable/24901466.
[12] A. Borrelli, G. Giantesio, M.C. Patria, Commun. Nonlinear Sci. Numer. Simul. 20 (2015) 121-135. https://doi.org/10.1016/j.cnsns.2014.04.011.
[13] R. Parthiban, G. Palani, S. Tinker, R. P. Sharma, Int. J. Appl. Mech. Eng. 26 (2021) 173-85. https://doi.org/10.2478/ijame-2021-0026.
[14] M.V. Krishna, A.J. Chamkha, Int. J. Ambient Energy. 43(2021)5344-5356. https://doi.org/10.1080/01430750.2021.1946146.
[15] S. Sharma, A. Dadheech, A. Parmar, J. Arora, Q. Al-Mdallal, S. Saranya, Sci. Rep.13 (2023) 10715. https://doi.org/10.1038/s41598-023-36988-3.
[16] S. P. Geetha, S. Sivasankaran, M. Bhuvaneswari, J. Nanofluids, 12(2023) 1815-1826. https://doi.org/10.1166/jon.2023.2063.
[17] A. Hakeem, G. Bhose, S. Sivasankaran, Int. J. Numer. Methods Heat Fluid Flow, 34(2024) 334-352. https://doi.org/10.1108/HFF-04-2023-0200.
[18] K. Madasu, N. Goyal, J. Appl. Math. Comput. Mech. 23 (2024) 54-65. https://doi.org/10.17512/jamcm.2024.2.05.
[19] J. S. Abera, M.D. Firdi, E.H. Rikitu, J. Nanofluids. 13 (2024) 1096-1110. https://doi.org/10.1166/jon.2024.2192.
[20] M.M. Rahman, M.A. Rahman, M.A. Samad, M.S. Alam, Int. J. Thermophys. 30(2009) 1649-670. https://doi.org/10.1007/s10765-009-0656-5.
[21] K. Hsiao, Heat Mass Transf. 46 (2010) 413-419.
https://doi.org/10.1007/s00231-010-0580-z.
[22] N.A. Yacob, A. Ishak, I. Pop, Comput. Fluids. 47 (2011), 16-21.
https://doi.org/10.1016/j.compfluid.2011.01.040.
[23] K. Bhattacharyya, S. Mukhopadhyay, G.C. Layek, I. Pop, Int. J. Heat Mass Transf. 55(2012) 2945-2952. https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.051.
[24] K. Bhattacharyya, Vajravelu, Commun. Nonlinear Sci. Numer. Simul.17(2012) 2728-2734. https://doi.org/10.1016/j.cnsns.2011.11.011.
[25] M. Hussain, M. Ashraf, S. Nadeem, M. Khan, J. Franklin Institute. 350 (2013) 194-210. https://doi.org/10.1016/j.jfranklin.2012.07.005.
[26] K. Singh, A. K. Pandey, M. Kumar, Heat Transfer Res. 50 (2019) 739-756. https://doi.org/10.1615/HeatTransRes.2018024647.
[27] B. Kumar, S. Srinivas, J. Appl. Comput. Mech. 6(2020) 259-270. https://jacm.scu.ac.ir/article_14580_81175fa2eddf2a1c75c8edac8f860396.pdf.
[28] R. Garg, J. Singh, U. S. Mahabaleshwar, O. Sayfidinov, G. Bognar, WSEASTrans. Fluid Mech. 18(2023) 24-33. https://doi.org/10.37394/232013.2023.18.3.
[29] M.S. Abel, P.S. Datti, N. Mahesha, Int. J. Heat Mass Transf. 52 (2009) 2902-2913. https://doi.org/10.1016/j.ijheatmasstransfer.2008.08.042.
[30] M.A.A. Mahmoud, S.E. Waheed, J. Egypt. Math. Soc. 20(2012) 20-27. https://doi.org/10.1016/j.joems.2011.12.009.
[31] H.T. Cheong, S. Sivasankaran, M. Bhuvaneswari, Int. J. Numer. Methods Heat Fluid Flow, 27(2017) 287-309. https://doi.org/10.1108/HFF-07-2015-0272.
[32] S.R. Mishra, Hoque, M. Mainul, B. Mohanty, N.N. Anika, Nonlinear Eng. 8 (2019) 65-73. https://doi.org/10.1515/nleng-2017-0126.
[33] M. Bhuvaneswari, S. Sivasankaran, A. Malarselvi, B. Ganga, Int. J. Energy Technol. Policy, 17(2021) 494-509. https://doi.org/10.1504/IJETP.2021.119863
[34] S. Sivasankaran, M. Bhuvaneswari, A.K. Alzahrani, Sci. Iran. 29(2022) 3063-3071. https://scientiairanica.sharif.edu/article_22932.html.
[35] H. Maaitah, O. Quran, N. Olimat, M. Duwairi, Int. Commun. Heat Mass Transf. 154(2024)107402. https://doi.org/10.1016/j.icheatmasstransfer.2024.107402.
[36] D.P. Palai, S. Chaudhuri, B. Das, J. Heat Mass Transf. Res. 12 (2025) 45-60. https://doi.org/10.22075/JHMTR.2024.32255.1496.