Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk
Source abstract
Abstract
In this paper we present a study of the Marangoni boundary layer flow and heat transfer of copper-water nanofluid over a porous medium disk. It is assumed that the base fluid water and the nanoparticles copper are in thermal equilibrium and that no slippage occurs between them. The governing partial differential equations are transformed into a set of ordinary differential equations by generalized Kármán transformation. The corresponding nonlinear two-point boundary value problem is solved by the Homotopy analysis method and the shooting method. The effects of the solid volume fraction, the permeability parameter and the Marangoni parameter on the velocity and temperature fields are presented graphically and analyzed in detail.
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Research context
OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer Mechanisms · Fractional Differential Equations Solutions
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Affiliations
Huaqiao University 1 School of Mathematical Sciences, , Quanzhou 362021, P.R. China
University of Science and Technology Beijing 2 School of Mathematics and Physics, , Beijing 10083, P.R. China
Funding
the Scientific Research Funds of Huaqiao University · National Natural Science Foundation of China
References (39)
Show source-provided references
1. Conceptions of heat transfer correlation of nanofluids10.1016/S0017-9310(99)00369-5 ↗
2. Review of convection heat transfer and fluid flow in porous media with nanofluid10.1016/j.rser.2014.08.040 ↗
3. Magnetic field effects on free convection flow of a nanofluid past a vertical semi-infinite flat plate10.1016/j.nonrwa.2010.09.014 ↗
4. Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids10.1016/j.icheatmasstransfer.2010.06.004 ↗
5. Non-Darcy mixed convection from a horizontal plate embedded in a nanofluid saturated porous media10.1016/j.icheatmasstransfer.2012.06.025 ↗
6. Triple diffusive free convection along a horizontal plate in porous media saturated by a nanofluid with convective boundary condition10.1016/j.ijheatmasstransfer.2013.07.074 ↗
7. Mixed convection flow from a horizontal circular cylinder embedded in a porous medium filled by a nanofluid: Buongiorno - Darcy model10.1016/j.ijthermalsci.2014.04.020 ↗
8. Effect of heat generation/absorption on natural convective boundary-layer flow from a vertical cone embedded in a porous medium filled with a non-Newtonian nanofluid10.1016/j.icheatmasstransfer.2011.07.008 ↗
9. Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition10.1016/j.compfluid.2013.07.030 ↗
10. Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium10.1016/j.jfranklin.2013.01.022 ↗
11. Peristaltic transport of copper-water nanofluid saturating porous medium10.1016/j.physe.2014.11.002 ↗
12. Thermal and solutal Marangoni convection in In-Ga-Sb system10.1016/S0022-0248(98)01071-9 ↗
13. Fingering instability of thin spreading films driven by temperature gradients10.1038/346824a0 ↗
14. Similarity simulation for Marangoni convection around a vapor bubble during nucleation and growth10.1016/S0017-9310(00)00129-0 ↗
15. Prandtl number effects for Marangoni convection over a flat surface10.1016/S1290-0729(01)01244-3 ↗
16. On convection cells induced by surface tension10.1017/S0022112058000616 ↗
17. Surface tension driven oscillatory instability in a rotating fluid layer10.1017/S0022112069002035 ↗
18. 3D large scale Marangoni convection in liquid films10.1140/epjb/e2003-00186-3 ↗
19. Thin liquid films on a slightly inclined heated plate10.1016/j.physd.2003.09.048 ↗
20. Analytical solution for Marangoni convection over a liquid-vapor surface due to an imposed temperature gradient10.1016/j.mcm.2008.04.003 ↗
21. Similarity solutions for MHD thermosolutal Marangoni convection over a flat surface in the presence of heat generation or absorption effects10.1007/s00231-004-0611-8 ↗
22. Exact analytical solutions for thermosolutal Marangoni convection in the presence of heat and mass generation or consumption10.1007/s00231-006-0171-1 ↗
23. Exact analytical results for the thermosolutal MHD Marangoni boundary layers10.1016/j.ijthermalsci.2007.07.004 ↗
24. Analysis of MHD thermosolutal Marangoni convection with the heat generation and a first-order chemical reaction10.1016/j.ces.2011.10.069 ↗
25. Similarity solutions of Marangoni convection boundary layer flow with gravity and external pressure10.1016/S1004-9541(14)60040-9 ↗
26. Marangoni effects on forced convection of power-law liquids in a film over a stretching surface10.1016/j.physleta.2007.05.024 ↗
27. Exact solution of Marangoni convection in a binary fluid with throughflow and Soret effect10.1016/j.apm.2008.12.017 ↗
28. Entropy generation in Marangoni convection flow of heated fluid in an open ended cavity10.1016/j.ijheatmasstransfer.2011.06.033 ↗
29. Marangoni convection of power law fluids driven by power-law temperature gradients10.1016/j.jfranklin.2012.07.004 ↗
30. Magnetohydrodynamics thermocapillary Marangoni convection heat transfer of power-law fluids driven by temperature gradient
31. Radiation effects on Marangoni convection flow and heat transfer in pseudo-plastic non-Newtonian nanofluids with variable thermal conductivity10.1016/j.ijheatmasstransfer.2014.06.028 ↗
32. Thermosolutal Marangoni boundary layer magnetohydrodynamic flow with the Soret and Dufour effects past a vertical flat plate10.1016/j.jestch.2014.08.003 ↗
33. MHD thermosolutal marangoni convection heat and mass transport of power law fluid driven by temperature and concentration gradient10.1063/1.4929525 ↗
34. Marangoni mixed convection flow with Joule heating and nonlinear radiation10.1063/1.4927209 ↗
35. Steady flow and heat transfer of the power-law fluid over a rotating disk10.1016/j.icheatmasstransfer.2010.11.013 ↗
36. Flow and heat transfer over a rotating porous disk in a nanofluid10.1016/j.physb.2011.02.024 ↗
37. The viscosity of concentrated suspensions and solutions10.1063/1.1700493 ↗
38. 2003
39. 2012