Influence of Heat Source on Thin Film Flow of Ferrofluid Past an Unsteady Stretching Sheet

Jump To References Section

Authors

  • Department of Mathematics, M. S. Ramaiah Institute of Technology, Bengaluru - 560054, Karnataka ,IN
  • Department of Mathematics, M. S. Ramaiah Institute of Technology, Bengaluru - 560054, Karnataka ,IN
  • Department of Basic Sciences, R. R. Institute of Technology, Bengaluru - 560090, Karnataka ,IN
  • Department of Science and Humanities, PES University - Electronic City Campus, Bengaluru - 560100, Karnataka ,IN

DOI:

https://doi.org/10.18311/jmmf/2023/35812

Keywords:

Heat Source, Stretching Sheet, Thin Film

Abstract

In this work, the impact of a heat source on the thin-film ferrofluid flow over an unstable stretching sheet in the presence of an external magnetic field has been examined. The governing partial differential equations are transformed into a system of ordinary differential equations by similarity transformation. The resultant system of ordinary differential equations is solved numerically through shooting technique involving Runge-Kutta-Fehlberg (RKF45) method. To improve the initial guess values, the Newton-Raphson method is used. The significance of magnetization parameter, Prandtl number and heat source parameter on the flow and heat transmission process have been graphically analysed. The decrease in film thickness is observed for growing values of heat source parameter.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2023-12-20

How to Cite

B. Azghar Pasha, G. Sowmya, V. Ramachandramurthy, & H. M. Nagesh. (2023). Influence of Heat Source on Thin Film Flow of Ferrofluid Past an Unsteady Stretching Sheet. Journal of Mines, Metals and Fuels, 71(10), 1518–1525. https://doi.org/10.18311/jmmf/2023/35812

 

References

Crane LJ. Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik ZAMP. 1970 Jul; 21:645-7. DOI: https://doi.org/10.1007/BF01587695

Andersson HI. An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow. Acta Mechanica. 1995 Mar; 113(1-4):241-4. DOI: https://doi.org/10.1007/BF01212646

Andersson HI, Aarseth JB, Dandapat BS. Heat transfer in a liquid film on an unsteady stretching surface. International Journal of Heat and Mass Transfer. 2000 Jan 1; 43(1):69-74. DOI: https://doi.org/10.1016/S0017-9310(99)00123-4

Vajravelu K. Viscous flow over a nonlinearly stretching sheet. Applied mathematics and computation. 2001 Dec 15; 124(3):281-8. DOI: https://doi.org/10.1016/S0096-3003(00)00062-X

Dandapat BS, Santra B, Vajravelu K. The effects of variable fluid properties and thermocapillarity on the flow of a thin film on an unsteady stretching sheet. International Journal of Heat and Mass Transfer. 2007 Mar 1; 50(5- 6):991-6. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2006.08.007

Khan NS, Islam S, Gul T, Khan I, Khan W, Ali L. Thin film flow of a second grade fluid in a porous medium past a stretching sheet with heat transfer. Alexandria Engineering Journal. 2018 Jun 1; 57(2):1019-31. DOI: https://doi.org/10.1016/j.aej.2017.01.036

Safdar M, Khan MI, Taj S, Malik MY, Shi QH. Construction of similarity transformations and analytic solutions for a liquid film on an unsteady stretching sheet using lie point symmetries. Chaos, Solitons & Fractals. 2021 Sep 1; 150:111115. DOI: https://doi.org/10.1016/j.chaos.2021.111115

Khan ZH, Khan WA, Qasim M, Shah IA. MHD stagnation point ferrofluid flow and heat transfer toward a stretching sheet. IEEE Transactions on Nanotechnology. 2013 Oct 25; 13(1):35-40. DOI: https://doi.org/10.1109/TNANO.2013.2286991

Qasim M, Khan ZH, Lopez RJ, Khan WA. Heat and mass transfer in nanofluid thin film over an unsteady stretching sheet using Buongiorno’s model. The European Physical Journal Plus. 2016 Jan; 131:1-1. DOI: https://doi.org/10.1140/epjp/i2016-16016-8

Ramana Reddy JV, Sugunamma V, Sandeep N. Effect of frictional heating on radiative ferrofluid flow over a slendering stretching sheet with aligned magnetic field. The European physical journal plus. 2017 Jan; 132:1-3. DOI: https://doi.org/10.1140/epjp/i2017-11287-1

Krishanan R, Maity S, Dandapat BS. Unsteady flow of Casson liquid film on a stretching sheet with radiative heat transfer. Surface Review and Letters. 2020 Sep 25; 27(09):1950204. DOI: https://doi.org/10.1142/S0218625X19502044

Andersson HI, Valnes OA. Flow of a heated ferrofluid over a stretching sheet in the presence of a magnetic dipole. Acta Mechanica. 1998 Mar; 128(1-2):39-47. DOI: https://doi.org/10.1007/BF01463158

Narayana M, Rani Titus LS, Abraham A, Sibanda P. Modelling micropolar ferromagnetic fluid flow due to stretching of an elastic sheet. Afrika Matematika. 2014 Sep; 25:667-79. DOI: https://doi.org/10.1007/s13370-013-0145-7

Jalili B, Sadighi S, Jalili P, Ganji DD. Characteristics of ferrofluid flow over a stretching sheet with suction and injection. Case Studies in Thermal Engineering. 2019 Sep 1; 14:100470. DOI: https://doi.org/10.1016/j.csite.2019.100470

Bhandari A, Husain A. Optimization of heat transfer properties on ferrofluid flow over a stretching sheet in the presence of static magnetic field. Journal of Thermal Analysis and Calorimetry. 2021 May; 144:1253-70. DOI: https://doi.org/10.1007/s10973-020-09636-5

Abel MS, Siddheshwar PG, Nandeppanavar MM. Heat transfer in a viscoelastic boundary layer flow over a stretching sheet with viscous dissipation and non-uniform heat source. International Journal of Heat and Mass Transfer. 2007 Mar 1; 50(5-6):960-6. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2006.08.010

Abel MS, Mahesha N. Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation. Applied Mathematical Modelling. 2008 Oct 1; 32(10):1965-83. DOI: https://doi.org/10.1016/j.apm.2007.06.038

Zheng L, Wang L, Zhang X. Analytic solutions of unsteady boundary flow and heat transfer on a permeable stretching sheet with non-uniform heat source/sink. Communications in Nonlinear Science and Numerical Simulation. 2011 Feb 1; 16(2):731-40. DOI: https://doi.org/10.1016/j.cnsns.2010.05.022

Majeed A, Zeeshan A, Noori FM, Masud U. Influence of rotating magnetic field on Maxwell saturated ferrofluid flow over a heated stretching sheet with heat generation/ absorption. Mechanics & Industry. 2019; 20(5):502. DOI: https://doi.org/10.1051/meca/2019022

Aslani KE, Mahabaleshwar US, Sakanaka PH, Sarris IE. Effect of partial slip and radiation on liquid film fluid flow over an unsteady porous stretching sheet with viscous dissipation and heat source/sink. Journal of Porous Media. 2021; 24(11). DOI: https://doi.org/10.1615/JPorMedia.2021035873