Heat Transfer Enhancement and Boundary Layer Separations for ‎a Hybrid Nanofluid Flow past an Isothermal Cylinder

Document Type : Research Paper

Authors

Department of Mathematics, University of Dhaka, Dhaka, Bangladesh

Abstract

Unsteady magnetohydrodynamic mixed convection flow of an incompressible hybrid nanofluid (Cu-Al2O3/water) past an isothermal cylinder with thermal radiation effect has been studied. Appropriate non-dimensional variables are initiated to reduce the governing equations into a convenient form. By utilizing the procedure of finite difference, reduced equations are then solved for all time. Besides, series solutions are obtained using perturbation technique for short time and asymptotic method for long time which agree with the acquired numerical solution up to a good accuracy. When the mixed convection parameter Ri, radiation conduction parameter Rd, magnetic field parameter M and the volume fractions of nanoparticles ϕ1 and ϕ2 are increased, the local skin friction coefficient and the local Nusselt number are found to increase. Results revealed that the hybrid nanofluid (Cu-Al2O3/water) enhances the heat transfer about 28.28% in comparison to the Al2O3-water nanofluid and about 51.15% than the pure fluid. Contrary to this, the heat transfer of hybrid nanofluid is augmented about 41.76% than the Cu-water nanofluid and 71.41% than the base fluid. The streamlines and isotherms reveal that higher values of Ri, M and Rd delay the boundary layer separation and accordingly shrink the vortices. Moreover, the thermal boundary layer is thickened for the increment of aforesaid quantities. The surface temperature parameter augments the local skin friction coefficient, however, the reverse characteristic is observed for the local Nusselt number.

Keywords

Main Subjects

Publisher’s Note Shahid Chamran University of Ahvaz remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. 

[1] Udhayakumar, S., Rejeesh, A., D., A., Sekhar, T., V., S., Sivakumar, R., Numerical investigation of magnetohydrodynamic mixed convection over an isothermal circular cylinder in presence of an aligned magnetic field, International Journal of Heat and Mass Transfer, 95, 2016, 379–392.
[2] Abel, M., S., Tawade, J., V., Shinde, J., N., The effects of MHD flow and heat transfer for the UCM fluid over a stretching surface in presence of thermal radiation, Advances in Mathematical Physics, 702681, 2012, 1–21.
[3] Aldoss, T. K., Ali, Y. D., Al-Nimr, M. A., MHD mixed convection from a horizontal circular cylinder, Numerical Heat Transfer, Part A: Applications, 30(4), 1996, 379–396.
[4] Hasan, N., Ali, R., Steady and unsteady flow regimes in two-dimensional mixed convective flow of air past a heated square cylinder, International Journal of Mechanical Sciences, 175, 2020, 105533.
[5] Roy, N., C., Rahman, T., Parvin, S., Boundary-Layer separations of mixed convection flow past an isothermal circular cylinder, International Journal of Applied and Computational Mathematics, 5(3), 2019, 48.
[6] Azim, N., A., Chowdhury, M., K., MHD-conjugate free convection from an isothermal horizontal circular cylinder with Joule heating and heat generation, Journal of Computational Methods in Physics, 180516, 2013, 1–11.
[7] Sharma, N., Dhiman, A. K., Kumar, S., Mixed convection flow and heat transfer across a square cylinder under the influence of aiding buoyancy at low reynolds numbers, International Journal of Heat and Mass Transfer, 55, 2012, 2601–2614.
[8] Das, S., Tarafdar, B., Jana, R., N., Makinde, O.D., Influence of rotational buoyancy on magneto-radiation-convection near a rotating vertical plate, European Journal of Mechanics / B Fluids, 75, 2019, 209–218.
[9] Chaabane, R., Askri, F., Nasrallah, S., B., Application of the lattice Boltzmann method to transient conduction and radiation heat transfer in cylindrical media, Journal of Quantitative Spectroscopy and Radiative Transfer, 112, 2011, 2013–2027.
[10] Wang, T., Y., Kleinstreuer, C., Local skin friction and transfer in combined free-forced convection from a cylinder or sphere to a power-law fluid, International Journal of Heat and Fluid Flow, 9(2), 1988, 182–187.
[11] Mucoglu, A., Chen, T., S., Analysis of combined forced and free convection across a horizontal cylinder, The Canadian Journal of Chemical Engineering, 55(3), 1977, 265–271.
[12] Choi, S., U., Eastman, J., Enhancing thermal conductivity of fluids with nanoparticles, ASME International Mechanical Engineering Congress and Exposition, 231, 1995, 99–105.
[13] Sachica, D., Trevino, C., Suastegui, L., M., Numerical study of magnetohydrodynamic mixed convection and entropy generation of Al2O3-water nanofluid in a channel with two facing cavities with discrete heating, International Journal of Heat and Fluid Flow, 86, 2020, 108713.
[14] Hosseinzadeh, K., Asadi, A., Mogharrebi, A., R., Khalesi, J., Mousavisani, S., Ganji, D., D., Entropy generation analysis of (CH2OH2) containing CNTs nanofluid flow under effect of MHD and thermal radiation, Case Studies in Thermal Engineering, 14, 2019, 100482.
[15] Mkhatshwa, M., P., Motsa, S., S., Ayano, M., S., Sibanda, P., MHD mixed convective nanofluid flow about a vertical slender cylinder using overlapping multi-domain spectral collocation approach, Case Studies in Thermal Engineering, 18, 2020, 100598.
[16] Hayat, T., Ullaha, H., Ahmadb, B., Alhodalyb, M., S., Heat transfer analysis in convective flow of Jeffrey nanofluid by vertical stretchable cylinder, International Communications in Heat and Mass Transfer, 120, 2021, 104965.
[17] Nagendramma, V., Leelarathnam, A., Raju, C., S., K., Shehzad, S., A., Hussain, T., Doubly stratified MHD tangent hyperbolic nanofluid flow due to permeable stretched cylinder, Results in Physics, 9, 2018, 23–32.
[18] Roy, N., C., Magnetohydrodynamic natural convection flow of a nanofluid due to sinusoidal surface temperature variations, Physics of Fluids, 32, 2020, 022003.
[19] Sheikholeslami, M., Jafaryar, M., Said, Z., Alsabery, A., I., Babazadeh, H., Shafee, A., Modification for helical turbulator to augment heat transfer behavior of nanomaterial via numerical approach, Applied Thermal Engineering, 182, 2021, 115935.
[20] M. Sheikholeslami, M., Farshad, S., A., Said, Z., Analyzing entropy and thermal behavior of nanomaterial through solar collector involving new tapes, International Communications in Heat and Mass Transfer, 123, 2021, 105190.
[21] M. Sheikholeslami, M., Farshad, S., A., Ebrahimpour, Z., Said, Z., Recent progress on flat plate solar collectors and photovoltaic systems in the presence of nanofluid: A review, Journal of Cleaner Production, 293, 2021, 126119.
[22] Jamil, F., Ali, H., M., Applications of hybrid nanofluids in different fields, Hybrid Nanofluids for Convection Heat Transfer, 2020, 215–254.  
[23] Jana, S., Khojin, A., S., Zhong, W., H., Enhancement of fluid thermal conductivity by the addition of single and hybrid nano-additives, Thermochimica Acta, 462(1-2), 2007, 45–55.
[24] Zainal, N., A., Nazara, R., Naganthrana, K., Pop, I., MHD mixed convection stagnation point flow of a hybrid nanofluid past a vertical flat plate with convective boundary condition, Chinese Journal of Physics, 66, 2020, 630–644.  
[25] Alharbi, S. O., Nawaz, M., Nazir, U., Thermal analysis for hybrid nanofluid past a cylinder exposed to magnetic field, AIP Advances, 9, 2019, 115022.
[26] Khashi’ie, N., S., Arifin, N., M., Pop, I., Wahid, N., S., Flow and heat transfer of hybrid nanofluid over a permeable shrinking cylinder with Joule heating: A comparative analysis, Alexandria Engineering Journal, 59, 2020, 1787–1798.  
[27] Abbas, N., Nadeem, S., Saleem, A., Malik, M., Y., Issakhov, A., Alharbi, F., M., Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder, Chinese Journal of Physics, 69, 2021, 109–117. 
[28] Devi, S., S., U., Devi, S., P., A., Numerical investigation of three-dimensional hybrid Cu–Al2O3/ water nanofluid flow over a stretching sheet with effecting Lorentz force subject to Newtonian heating, Canadian Journal of Physics, 94(5), 2016, 490–496.
[29] Shoaib, M., Raja, M., A., Z., Sabir, M., T., Awais, M., Islam, S., Shah, Z., Kumam, P., Numerical analysis of 3-D MHD hybrid nanofluid over a rotational disk in presence of thermal radiation with Joule heating and viscous dissipation effects using Lobatto IIIA technique, Alexandria Engineering Journal, 60, 2021, 3605–3619.  
[30] Rashid, U., Liang, H., Ahmad, H., Abbas, M., Iqbal, A., Hamed, Y., S., Study of (Ag and TiO2)/water nanoparticles shape effect on heat transfer and hybrid nanofluid flow toward stretching shrinking horizontal cylinder, Results in Physics, 21, 2021, 103812.
[31] Ghalambaz, M., Groşan, T., Pop, I., Mixed convection boundary layer flow and heat transfer over a vertical plate embedded in a porous medium filled with a suspension of nano-encapsulated phase change materials, Journal of Molecular Liquids, 293, 2019, 111432.
[32] Ghalambaz, M., Mehryan, S., A., M., Hajjar, A., Veisimoradi, A., Unsteady natural convection flow of a suspension comprising Nano-Encapsulated Phase Change Materials (NEPCMs) in a porous medium, Advanced Powder Technology, 31(3), 2020, 954‒966.
[33] Mehryana, S., A., M., Ghalambaz, M., Gargari, L., S., Hajjar, A., Sheremet, M., Natural convection flow of a suspension containing nano-encapsulated phase change particles in an eccentric annulus, Journal of Energy Storage, 28, 2020, 101236.
[34] Hajjar, A., Mehryan, S., A., M., Ghalambaz, M., Time periodic natural convection heat transfer in a nano-encapsulated phase-change suspension, International Journal of Mechanical Sciences, 166, 2020, 105243.
[35] Ghalambaz, M., Sheremet, M., A., Mehryan, S., A., M., Kashkooli, F., M., Pop I., Local thermal non-equilibrium analysis of conjugate free convection within a porous enclosure occupied with Ag-MgO hybrid nanofluid, Journal of Thermal Analysis and Calorimetry, 135, 2019, 1381‒1398.
[36] Mehryan, S., A., M., Ghalambaz, M., Chamkha, A., J., Izadi, M., Numerical study on natural convection of Ag-MgO hybrid/water nanofluid inside a porous enclosure: A local thermal non-equilibrium model, Powder Technology, 367, 2020, 443‒455.
[37] Brown, S., N., The effect of heat transfer on boundary-layer growth, Mathematical Proceedings of the Cambridge Philosophical Society, 59(4), 1963, 789‒802.
[38] Nazar, R., Amin, N., Pop, I., Mixed convection boundary-layer flow from a horizontal circular cylinder with a constant surface heat flux, Heat and Mass Transfer, 40, 2004, 219‒227.
[39] Raptis, A., Flow of a micropolar fluid past a continuously moving plate by the presence of radiation, International Journal of Heat and Mass Transfer, 41(18), 1998, 2865‒2866.
[40] Awang, M. A. O., Riley, N., Unsteady free convection from a heated sphere at high Grashof number, Journal of Engineering Mathematics, 17(4), 1983, 355–365.
[41] Roy, N. C., Hossain, M. A., Gorla, R. S. R., Unsteady free convection from a heated sphere in the presence of internal heat generation or absorption, International Journal of Thermal Sciences, 98, 2015, 237‒244.
[42] Blottner, F., G., Finite difference methods of solution of the boundary-layer equations, AIAA Journal, 8(2), 1970, 193‒205.
[43] Butcher, J. C., Implicit Runge-Kutta processes, Mathematics of Computation, 18, 1964, 50–55.
[44] Naschtsheim, P. R., Swigert, P. Satisfaction of asymptotic boundary conditions in numerical solution of systems of non-linear equation of boundary layer type, NASA TN D-3004, 1965.
[45] Sparrow, E. M., Yu, H. S., Local non-similarity thermal boundary layer solutions, Journal of Heat Transfer, 93(4), 1971, 328–334.
[46] Schlichting, H., Gersten, K., Boundary-layer theory, Springer-Verlag, Berlin, 2017.