Investigation of Coulomb force effects on ethylene glycol based nanofluid laminar flow in a porous enclosure

doi:10.1007/s10483-018-2366-9

摘要/Abstract

摘要：

Forced convection heat transfer of ethylene glycol based nanofluid with Fe₃O₄ inside a porous medium is studied using the electric field. The control volume based finite element method (CVFEM) is selected for numerical simulation. The impact of the radiation parameter (R_d), the supplied voltage (△ψ), the volume fraction of nanofluid (φ), the Darcy number (Da), and the Reynolds number (Re) on nanofluid treatment is demonstrated. Results prove that thermal radiation increases the temperature gradient near the positive electrode. Distortion of isotherms increases with the enhance of the Darcy number and the Coulomb force.

关键词: Lienard systems, harmonic solutions, coincidence degree, control volume based finite element method (CVFEM), nanofluid, Coulomb force, porous medium, electric field, thermal radiation

Abstract:

Key words: Coulomb force, Lienard systems, harmonic solutions, coincidence degree, nanofluid, porous medium, electric field, thermal radiation, control volume based finite element method (CVFEM)

中图分类号:

76W05

M. SHEIKHOLESLAMI. Investigation of Coulomb force effects on ethylene glycol based nanofluid laminar flow in a porous enclosure[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(9): 1341-1352.

参考文献

[1] SHEIKHOLESLAMI, M., GANJI, D. D., ASHORYNEJAD, H. R., and ROKNI, H. B., Analytical investigation of Jeffery-Hamel flow with high magnetic field and nano particle by Adomian decomposition method. Applied Mathematics and Mechanics (English Edition), 33(1), 25-36(2012) https://doi.org/10.1007/s10483-012-1531-7
[2] SHEIKHOLESLAMI, M. and SHEHZAD, S. A. CVFEM simulation for nanofluid migration in a porous medium using Darcy model. International Journal of Heat and Mass Transfer, 122, 1264-1271(2018)
[3] SHEIKHOLESLAMI, M., GORJI-BANDPY, M., and DOMAIRRY, G. Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM). Applied Mathematics and Mechanics (English Edition), 34(7), 833-846(2013) https://doi.org/10.1007/s10483-013-1711-9
[4] MAPARU, A. K., GANVIR, V., and RAI, B. Titania nanofluids with improved photocatalytic activity under visible light. Colloids and Surfaces A:Physicochemical and Engineering Aspects, 482, 345-352(2015)
[5] SHEIKHOLESLAMI, M. and ROKNI, H. B. Magnetic nanofluid flow and convective heat transfer in a porous cavity considering Brownian motion effects. Physics of Fluids, 30(1), 012003(2018)
[6] SHEIKHOLESLAMI, M. and SADOUGHI, M. K. Simulation of CuO-water nanofluid heat transfer enhancement in presence of melting surface. International Journal of Heat and Mass Transfer, 116, 909-919(2018)
[7] SHEIKHOLESLAMI, M. and ROKNI, H. B. Simulation of nanofluid heat transfer in presence of magnetic field:a review. International Journal of Heat and Mass Transfer, 115, 1203-1233(2017)
[8] SHEIKHOLESLAMI, M. and GANJI, D. D. Nanofluid convective heat transfer using semi analytical and numerical approaches:a review. Journal of the Taiwan Institute of Chemical Engineers, 65, 43-77(2016)
[9] HAYAT, T., QAYYUM, S., IMTIAZ, M., and ALSAEDI, A. Comparative study of silver and copper water nanofluids with mixed convection and nonlinear thermal radiation. International Journal of Heat and Mass Transfer, 102, 723-732(2016)
[10] SHEIKHOLESLAMI, M. and CHAMKHA, A. J. Electrohydrodynamic free convection heat transfer of a nanofluid in a semi-annulus enclosure with a sinusoidal wall. Numerical Heat Transfer, Part A, 69(7), 781-793(2016)
[11] HASSAN, G. E., ELSAYED, M., ZAHRAA, E., ALI, M. A., and HANAFY, A. A. New temperature-based models for predicting global solar radiation. Applied Energy, 179, 437-450(2016)
[12] NAYAK, M. K., AKBAR, N. S., PANDEY, V. S., KHAN, Z. H., and TRIPATHI, D. 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation. Powder Technology, 315, 205-215(2017)
[13] SHEIKHOLESLAMI, M. and BHATTI, M. M. Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. International Journal of Heat and Mass Transfer, 111, 1039-1049(2017)
[14] TAO, Y. B. and HE, Y. L. Effects of natural convection on latent heat storage performance of salt in a horizontal concentric tube. Applied Energy, 143, 38-46(2015)
[15] MAKINDE, O. D., MABOOD, F., KHAN, W. A., and TSHEHLA, M. S. MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat. Journal of Molecular Liquids, 219, 624-630(2016)
[16] MEZRHAB, A., BOUALI, H., AMAOUI, H., and BOUZI, M. Computation of combined naturalconvection and radiation heat-transfer in a cavity having a square body at its center. Applied Energy, 83(9), 1004-1023(2006)
[17] SHEREMET, M. A., POP, I., and RO?A, N. C. Magnetic field effect on the unsteady natural convection in a wavy-walled cavity filled with a nanofluid:Buongiorno's mathematical model. Journal of the Taiwan Institute of Chemical Engineers, 61, 211-222(2016)
[18] HAYAT, T., NISAR, Z., YASMIN, H., and ALSAEDI, A. Peristaltic transport of nanofluid in a compliant wall channel with convective conditions and thermal radiation. Journal of Molecular Liquids, 220, 448-453(2016)
[19] RAJU, C. S. K., SANDEEP, N., and SUGUNAMMA, V. Unsteady magneto-nanofluid flow caused by a rotating cone with temperature dependent viscosity:a surgical implant application. Journal of Molecular Liquids, 222, 1183-1191(2016)
[20] AHMAD, R. and MUSTAFA, M. Model and comparative study for rotating flow of nanofluids due to convectively heated exponentially stretching sheet. Journal of Molecular Liquids, 220, 635-641(2016)
[21] CHAMKHA, A. J. and AHMED, S. E. Unsteady MHD stagnation-point flow with heat and mass transfer for a three-dimensional porous body in the presence of heat generation/absorption and chemical reaction. Progress in Computational Fluid Dynamics, 11, 388-396(2011)
[22] BACHOK, N., ISHAK, A., NAZAR, R., and POP, I. Flow and heat transfer at a general threedimensional stagnation point in a nanofluid. Physica B:Condensed Matter, 405(24), 4914-4918(2010)
[23] HAYAT, T., KHAN, I. M., FAROOQ, M., ALSAEDI, A., and YASMEEN, T. Impact of Marangoni convection in the flow of carbon-water nanofluid with thermal radiation. International Journal of Heat and Mass Transfer, 106, 810-815(2017)
[24] KHANAFER, K., VAFAI, K., and LIGHTSTONE, M. Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. International Journal of Heat and Mass Transfer, 446, 3639-3653(2003)
[25] SHEIKHOLESLAMI, M. Application of Control Volume based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer, 1st ed., Elsevier, Amsterdam (2018)
[26] MOALLEMI, M. K. and JANG, K. S. Prandtl number effects on laminar mixed convection heat transfer in a lid-driven cavity. International Journal of Heat and Mass Transfer, 35, 1881-1892(1992)
[27] RARANI, E. M., ETESAMI, N., and NASR ESFAHANY, M. Influence of the uniform electric field on viscosity of magnetic nanofluid (Fe₃O₄-EG). Journal of Applied Physics, 112, 094903(2012)
[28] CHAMKHA, A. J., ABD EL-AZIZ, M. M., and AHMED, S. E. Effects of thermal stratification on flow and heat transfer due to a stretching cylinder with uniform suction/injection. International Journal of Energy and Technology, 2, 1-7(2010)
[29] REHMAN, F. U., NADEEM, S., and HAQ, R. U. Heat transfer analysis for three-dimensional stagnation-point flow over an exponentially stretching surface. Chinese Journal of Physics, 55, 1552-1560(2017)
[30] RAEES, A., XU, H., SUN, Q., and POP, I. Mixed convection in a gravity-driven nano-liquid film containing both nanoparticles and gyrotactic microorganisms. Applied Mathematics and Mechanics (English Edition), 36(2), 163-178(2015) https://doi.org/10.1007/s10483-015-1901-7
[31] TAHIR, F., GUL, T., ISLAM, S., SHAH, Z., KHAN, A., KHAN, W., and ALI, W. Flow of a nano-liquid film of Maxwell fluid with thermal radiation and magneto hydrodynamic properties on an unstable stretching sheet. Journal of Nanofluids, 6, 1021-1030(2017)
[32] SOOMRO, F. A., HAQ, R. U., AL-MDALLAL, Q. M., and ZHANG, Q. Heat generation/absorption and nonlinear radiation effects on stagnation point flow of nanofluid along a moving surface. Results in Physics, 8, 404-414(2018)
[33] KHAN, N. S., GUL, T., ISLAM, S., KHAN, A., and SHAH, Z. Brownian motion and thermophoresis effects on MHD mixed convective thin film second-grade nanofluid flow with Hall effect and heat transfer past a stretching sheet. Journal of Nanofluids, 6, 1-18(2017)
[34] SHEIKHOLESLAMI, M. Numerical investigation for CuO-H₂O nanofluid flow in a porous channel with magnetic field using mesoscopic method. Journal of Molecular Liquids, 249, 739-746(2018)
[35] MIRZA, I. A., ABDULHAMEED, M., and SHAFIE, S. Magnetohydrodynamic approach of nonNewtonian blood flow with magnetic particles in stenosed artery. Applied Mathematics and Mechanics (English Edition), 38(3), 379-392(2017) https://doi.org/10.1007/s10483-017-2172-7
[36] HAYAT, T., NAZAR, H., IMTIAZ, M., and ALSAEDI, A. Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks. Applied Mathematics and Mechanics (English Edition), 38(12), 1663-1678(2017) https://doi.org/10.1007/s10483-017-2289-8
[37] SHEHZAD, S. A., HAYAT, T., ALSAEDI, A., and MERAJ, M. A. Cattaneo-Christov heat and mass flux model for 3D hydrodynamic flow of chemically reactive Maxwell liquid. Applied Mathematics and Mechanics (English Edition), 38(10), 1347-1356(2017) https://doi.org/10.1007/s10483-017-2250-6
[38] AHMED, S. E. Modeling natural convection boundary layer flow of micropolar nanofluid over vertical permeable cone with variable wall temperature. Applied Mathematics and Mechanics (English Edition), 38(8), 1171-1180(2017) https://doi.org/10.1007/s10483-017-2231-9
[39] ZHAO, Q. K., XU, H., TAO, L. B., RAEES, A., and SUN, Q. Three-dimensional free bioconvection of nanofluid near stagnation point on general curved isothermal surface. Applied Mathematics and Mechanics (English Edition), 37(4), 417-432(2016) https://doi.org/10.1007/s10483-016-2046-9
[40] XU, H. A homogeneous-heterogeneous reaction model for heat fluid flow in the stagnation region of a plane surface. International Communications in Heat and Mass Transfer, 87, 112-117(2017)
[41] TURKYILMAZOGLU, M. Flow of nanofluid plane wall jet and heat transfer. European Journal of Mechanics-B/Fluids, 59, 18-24(2016)