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Chin. Phys. B, 2022, Vol. 31(6): 064403    DOI: 10.1088/1674-1056/ac3a5d
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface

Noor Wali Khan1, Arshad Khan2,†, Muhammad Usman1, Taza Gul1,3, Abir Mouldi4, and Ameni Brahmia5
1 Department of Mathematics, City University of Science and IT, Peshawar 25000, Pakistan;
2 College of Aeronautical Engineering, National University of Sciences and Technology(NUST), Sector H-12, Islamabad 44000, Pakistan;
3 Higher Education Archives and Libraries Department KP, Govt. Superior Science College, Peshawar, Pakistan;
4 Department of Industrial Engineering, College of Engineering, King Khalid University, Abha 61421, KSA;
5 Chemistry Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Abstract  Investigations on thin-film flow play a vital role in the field of optoelectronics and magnetic devices. Thin films are reasonably hard and thermally stable but quite fragile. The thermal stability of a thin film can be further improved by incorporating the effects of nanoparticles. In the current work, a stretchable surface is considered upon which hybrid nanofluid thin-film flow is taken into account. The idea of augmenting heat transmission by making use of a hybrid nanofluid is a focus of the current work. The flow is affected by variations in the viscous forces, along with viscous dissipation effects and Marangoni convection. A time-constrained magnetic field is applied in the normal direction to the flow system. The equations governing the flow system are shifted to a non-dimensional form by applying similarity variables. The homotopy analysis method is employed to find the solution to the resultant equations. It is noticed in this study that the flow characteristics decline with augmentation of magnetic, viscosity and unsteadiness parameters while they increase with enhanced values of thin-film parameters. Thermal characteristics are supported by increasing values of the Eckert number and the unsteadiness parameter and opposed by the viscosity parameter and Prandtl number. The numerical impact of different emerging parameters upon skin friction and the Nusselt number is calculated in tabular form. A comparison of current work with established results is carried out, with good agreement.
Keywords:  thin-film flow      hybrid nanofluid      viscous dissipation      stretching surface      homotopy analysis method  
Received:  12 September 2021      Revised:  23 October 2021      Accepted manuscript online:  17 November 2021
PACS:  44.15.+a (Channel and internal heat flow)  
  47.27.nd (Channel flow)  
  47.15.gm (Thin film flows)  
Fund: We thank the Deanship of Scientific Research at King Khalid University for funding this work through research groups (Grant No. RGP.1/260/42).
Corresponding Authors:  Arshad Khan     E-mail:  arshad8084@gmail.com

Cite this article: 

Noor Wali Khan, Arshad Khan, Muhammad Usman, Taza Gul, Abir Mouldi, and Ameni Brahmia Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface 2022 Chin. Phys. B 31 064403

[1] Aziz R C, Hashim I and Alomari A K 2011 Meccanica 46 349
[2] Wang C Y 1990 Quarterly of Applied Mathematics 48 601
[3] Andersson H I, Aarseth J B and Dandapat B S 2000 International Journal of Heat and Mass Transfer 43 69
[4] Liu I C and Andersson H I 2008 International Journal of Thermal Sciences 47 766
[5] Wang C 2006 Heat and Mass Transfer 42 759
[6] Iqbal K, Ahmed J, Khan M, Ahmad L and Alghamdi M 2020 Applied Physics A 126 1
[7] Sadiq M A 2021 Journal of Thermal Analysis and Calorimetry 143 2075
[8] Choi S U S and Eastman J A 1995 Enhancing thermal conductivity of fluids with nanoparticles, No ANL/MSD/CP-84938; CONF-951135-29 Argonne National Lab, IL United States
[9] Choi S U S 2009 Journal of Heat Transfer 131
[10] Jawad M, Khan A and Shah S A A 2021 Brazilian Journal of Physics 51 1096
[11] Khan A, Shah Z, Alzahrani E and Islam S 2020 International Communications in Heat and Mass Transfer 119 104979
[12] Islam S, Khan A, Kumam P, Alrabaiah H, Shah Z, Khan W, Zubair M and Jawad M 2020 Scientific Reports 10 1
[13] Hayat T, Kiran A, Imtiaz M and Alsaedi A 2017 Results in Physics 7 823
[14] Khan A, Shah Z, Islam S, Dawar A, Bonyah E, Ullah H and Khan A 2018 AIP Advances 8 125024
[15] Pal D and Mandal G 2021 International Journal of Ambient Energy 1
[16] Xu H, Xing Z and Vafai K 2019 International Journal of Heat and Fluid Flow 77 242
[17] Xu H J, Xing Z B, Wang F Q and Cheng Z M 2019 Chemical Engineering Science 195 462
[18] Xu H and Xing Z 2017 International Communications in Heat and Mass Transfer 89 73
[19] Xu H J, Liang G, Huang S B and Xu M H 2015 International Journal of Heat and Mass Transfer 83 399
[20] Pop E 2010 Nano Research 3 147
[21] Ali A, Noreen A, Saleem S, Aljohani A F and Awais M 2021 Journal of Thermal Analysis and Calorimetry 143 2367
[22] Sharma K, Vijay N, Makinde O D, Bhardwaj S B, Singh R M and Mabood F 2021 Chaos, Solitons and Fractals 148 111055
[23] Augusto L L X, Takahama M H, Negrão C O R and Cousseau T 2021 Tribology International 153 106571
[24] Khan A, Saeed A, Tassaddiq A, Gul T, Mukhtar S, Kumam P, Ishtiaq A and Kumam W 2021 Case Studies in Thermal Engineering 25 100989
[25] Khan A, Saeed A, Tassaddiq A, Gul T, Kumam P, Ali I and Kumam W 2021 Scientific Reports 11 1
[26] Khan A, Kumam W, Khan I, Saeed A, Gul T, Kumam P and Ali I 2021 Plos One 16 e0249264
[27] Karwe M V and Jaluria Y 1991 J. Heat Transfer 113 612
[28] Lund L A, Omar Z and Khan I 2021 International Journal of Numerical Methods for Heat and Fluid Flow 31 3621
[29] Abbas N, Nadeem S, Saleem A, Malik M Y, Issakhov A and Alharbi F M 2021 Chinese Journal of Physics 69 109
[30] Zainal N A, Nazar R, Naganthran K and Pop I 2021 Alexandria Engineering Journal 60 915
[31] Anuar N S, Bachok N and Pop I 2021 International Communications in Heat and Mass Transfer 123 105236
[32] Hussain A, Mohyud-Din S T and Cheema T A 2012 Chin. Phys. Lett. 29 114705
[33] Luo X P and Cui F Z 2008 Chin. Phys. Lett. 25 2111
[34] Lin Z P, Xu S Z and Bao Y 2020 Acta Phys. Sin. 69 014401 (in Chinese)
[35] Ning L Z, Hu B, Ning B B and Tian W L 2016 Acta Phys. Sin. 65 214401 (in Chinese)
[36] Ning L, Na Wang N and Yuan Z 2014 Acta Phys. Sin. 63 104401 (in Chinese)
[37] Zhao M, Tang X, Huo W, Han L, Deng Z, Jiang Y and Jia H 2020 Chin. Phys. B 29 048104
[38] Salem A M, Ismail G and Fathy R 2014 Chin. Phys. B 23 044402
[39] Mukhopadhyay S, Arif M G and Pk M W A 2013 Chin. Phys. B 22 124701
[40] Mukhopadhyay S, Bhattacharyya K and Hayat T 2013 Chin. Phys. B 22 114701
[41] Mukhopadhyay S 2013 Chin. Phys. B 22 114702
[42] Waini I, Ishak A and Pop I 2020 Alexandria Engineering Journal 59 91
[43] Liao S J 1999 International Journal of Non-Linear Mechanics 34 759
[44] Liao S J 2010 Commun. Nonlinear Sci. Numer. Simul. 15 2003
[45] Qasim M, Khan Z H, Lopez R J and Khan W A 2016 Euro. Phys. J. Plus 131 1
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