journal article·2021-12-01Open access

Comparative Study on Effects of Thermal Gradient Direction on Heat Exchange between a Pure Fluid and a Nanofluid: Employing Finite Volume Method

Aimad Koulali, Aissa Abderrahmane, Wasim Jamshed, Syed M. Hussain, Kottakkaran Sooppy Nisar, Abdel-Haleem Abdel-Aty, I. S. Yahia, Mohamed R. Eid

Coatings· Volume 11· Issue 12

Abstract

This work aims to determine how the temperature gradient orientation affects the heat exchange between two superposed fluid layers separated by zero wall thickness. The finite volume method (FVM) has been developed to solve the governing equations of both fluid layers. To achieve the coupling between the two layers, the heat flow continuity with the no-slip condition at the interface was adopted. The lower part of the space is filled with a nanofluid while the upper part is filled with a pure fluid layer. We have explored two cases of temperature gradient orientation: parallel gradient to gravity forces of our system and perpendicular gradient to gravity forces. We took a set of parameters, Ri and ϕ, to see their influence on the thermal and hydrodynamic fields as well as the heat exchange rate between the two layers. The main applications of this study related to biological systems such as the cytoplasm and the nucleoplasm are phase-separated solutions, which can be useful as models for membranelles organelles and can serve as a cooling system application using heat exchange. The Richardson number and the volume of nanosolid particles have a big impact on the rate of change of heat transmission. When a thermal gradient is perpendicular to gravity forces, total heat transmission improves with increasing solid volume percentage, but when the thermal gradient is parallel to gravity forces, overall heat transfer decreases significantly.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Advanced Thermodynamic Systems and Engines · Heat Transfer and Optimization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Laboratoire de Physique Quantique de la Matière et Modélisation Mathématique (LPQ3M), University of Mascara, Mascara 29000, Algeria

Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad 44000, Pakistan

Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia

Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

Advanced Functional Materials and Optoelectronic Laboratory (AFMOL), Department of Physics, Faculty of Science, King Khalid University, Abha 61413, Saudi Arabia

Research Center for Advanced Materials Science (RCAMS), King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Semiconductor Lab., Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt

Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, Al-Wadi Al-Gadid 72511, Egypt

Department of Mathematics, Faculty of Science, Northern Border University, Arar 1321, Saudi Arabia

References (42)

Show source-provided references
1. On some consequences and possible causes of layered mantle convection10.1029/JB086iB07p06133 ↗
2. Oscillatory instability in a Bénard problem of two fluids10.1063/1.865046 ↗
3. Gravity and convection in a two-layer mantle10.1016/0012-821X(85)90159-1 ↗
4. Flow observation in two immiscible liquid layers subject to a horizontal temperature gradient10.1016/S0022-0248(01)01906-6 ↗
5. Thermocapillary convection in two-layer systems10.1016/S0017-9310(97)00277-9 ↗
6. Thermocapillary convection in two immiscible liquid layers with free surface10.1063/1.858817 ↗
7. Buoyancy-driven flows in crystal-growth melts10.1146/annurev.fl.17.010185.001203 ↗
8. Natural convection in a vertically divided square enclosure by a solid partition into air and water regions10.1016/j.ijheatmasstransfer.2009.07.016 ↗
9. Conjugate natural convection in a cavity with a conductive partition and filled with different nanofluids on different sides of the partition10.1016/j.molliq.2015.12.102 ↗
10. Numerical investigation of conjugate heat transfer in the presence of two fluid separated by a rigid wall10.1002/htj.21863 ↗
11. Thermal convection in superposed immiscible liquid layers10.1007/BF00386209 ↗
12. Prakash, A., Koster, J., and Hill, M. (1993–14, January 11). Natural and thermocapillary convection in multiple liquid layers. Proceedings of the 31st Aerospace Sciences Meeting, Reno, NV, USA.10.2514/6.1993-469 ↗
13. Steady natural convection in a double layer of immiscible liquids with density inversion10.1016/0017-9310(95)00154-2 ↗
14. Koulali, A., Sahi, A., Meziani, B., Aissa, A., Sadaoui, D., and Ali, H.M. (2021). CFD analysis of natural convection between two superposed fluids: Role of corrugated bottoms. Chem. Eng. Commun.10.1080/00986445.2021.1976162 ↗
15. Analytical and numerical solutions for natural convection in a shallow cavity filled with two immiscible fluids: Shear stress action10.1080/10407782.2012.677366 ↗
16. Analytical and numerical solution to the convection problem in a shallow cavity filled with two immiscible superposed fluids10.1016/j.ijthermalsci.2014.12.022 ↗
17. Oscillatory Flow and Heat Transfer in Two Immiscible Fluids10.1615/InterJFluidMechRes.v31.i1.20 ↗
18. Analytical and semi-analytical solutions to flows of two immiscible Maxwell fluids between moving plates10.1016/j.cjph.2018.10.009 ↗
19. Mixed convective flow of immiscible fluids in a vertical corrugated channel with traveling thermal waves
20. Stamenković, Ž., Nikodijević, D., Milenković, D., Blagojević, B., and Nikodijevic, J. (2011). Flow and heat transfer of two immiscible fluids in the presence of uniform inclined magnetic field. Math. Probl. Eng., 2011.10.1155/2011/132302 ↗
21. Direct contact heat transfer enhancement between two stratified immiscible fluids by artificial interface oscillations10.1016/j.ijheatmasstransfer.2019.04.064 ↗
22. MHD natural convection in a laterally and volumetrically heated square cavity10.1016/j.ijheatmasstransfer.2005.03.014 ↗
23. Magnetohydrodynamic natural convection in a vertical cylindrical cavity with sinusoidal upper wall temperature10.1016/j.ijheatmasstransfer.2008.06.035 ↗
24. Analytical and numerical study of MHD natural convection in a horizontal shallow cavity with heat generation10.1016/j.ijheatmasstransfer.2014.02.062 ↗
25. Analytical study of the magnetohydrodynamic natural convection of a nanofluid filled horizontal shallow cavity with internal heat generation10.1016/j.ijheatmasstransfer.2018.11.004 ↗
26. Hemmat Esfe, M., Saedodin, S., Hasani Malekshah, E., Babaie, A., and Rostamian, H. (2019). Mixed Convection Inside Lid-Driven Cavities Filled with Nanofluids: A Comprehensive Review, Springer International Publishing.10.1007/s10973-018-7519-x ↗
27. Mixed convection in a lid-driven cavity filled with single and multiple-walled carbon nanotubes nanofluid having an inner elliptic obstacle10.1016/j.jppr.2019.01.007 ↗
28. Mixed convection heat transfer in a square lid-driven cavity filled with Al2O3-Water Nanofluid10.5545/sv-jme.2017.4449 ↗
29. Mixed convection in a double lid-driven cavity filled with hybrid nanofluid by using finite volume method10.3390/sym12121977 ↗
30. Sheremet, M.A., and Pop, I. (2021). Mixed convection in a chamber saturated with MWCNT-Fe3O4/water hybrid nanofluid under the upper wall velocity modulation. Eur. Phys. J. Plus, 123.10.1140/epjp/s13360-021-01189-2 ↗
31. Alotaibi, H., and Eid, M.R. (2021). Thermal analysis of 3D electromagnetic radiative nanofluid flow with suction/blowing: Darcy–Forchheimer scheme. Micromachines, 12.10.3390/mi12111395 ↗
32. Thermal and flow investigation of MHD natural convection in a nanofluid-saturated porous enclosure: An asymptotic analysis10.1007/s10973-019-09165-w ↗
33. Natural Convection Flow of a Nanofluid in an Inclined Square Enclosure Partially Filled with a Porous Medium10.1038/s41598-017-02241-x ↗
34. Natural convection in a rectangular enclosure filled by two immiscible fluids of air and Al2O3-water nanofluid heated partially from side walls10.1016/j.aej.2017.07.004 ↗
35. Mixed Convection in Lid-Driven “T” Shallow Cavity Heated From Bottom and Filled by Two Immiscible Fluids of Air and Al2O3-Water Nanofluid10.1051/matecconf/202033001008 ↗
36. Two layers of immiscible fluids in a vertical semi-corrugated channel with heat transfer: Impact of nanoparticles10.1016/j.rinp.2018.05.008 ↗
37. Natural convection flow of a hybrid nanofluid in a square enclosure partially filled with a porous medium using a thermal non-equilibrium model10.1063/1.5080671 ↗
38. Modelling two-layer nanofluid flow in a micro-channel with electro-osmotic effects by means of Buongiorno ’ s model10.1007/s10483-020-2558-7 ↗
39. Buoyancy driven flow and heat transfer of nanofluids past a square cylinder in vertically upward flow10.1016/j.ijheatmasstransfer.2012.12.032 ↗
40. Entropy generation of Cu-water nanofluid mixed convection in a cavity10.1016/j.euromechflu.2012.09.002 ↗
41. Mixed convection flow in a lid-driven inclined square enclosure filled with a nanofluid10.1016/j.euromechflu.2010.06.008 ↗
42. Patankar, S.V. (1980). Numerical Heat Transfer and Fluid Flow, CRC Press.