辐射滑移边界条件下多孔板上的传热与纳米流体流动（英文）
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摘要
考虑多孔表面上的纳米流体在不同时期不同值下可能会发生热性能变化。本研究的目的是研究纳米粒子的体积分数、纳米粒子的种类、吸入或注入、热的产生或吸收、Eckert数、热和速度滑移参数以及辐射对多孔平板上流体流动和传热的影响。研究了4种不同类型的纳米粒子,Cu纳米颗粒、Al_2O_3纳米粒子和碳基纳米材料(MWCNTs和SWCNTs),分散在水中的情况。利用相似解将控制方程转化为常微分方程,并用RKF45算法进行数值求解。模拟结果与其他研究人员的结果相矛盾,其他研究人员认为,使用具有高导热系数的高体积分数的纳米粒子可提高纳米流体的传热速率;本研究证明,当辐射、热产生和粘滞耗散等参数值发生显著变化时,提高纳米粒子的体积分数可能会降低传热速率。
Presence of different terms with various values can alter the thermal behavior of the nanofluids flow over porous surfaces. The aim of this research is to study the influence of nanoparticles volume fraction, nanoparticles type,suction or injection, the heat generation or absorption, the Eckert number, thermal and velocity slip parameters, and radiation on the velocity and temperature fields on the flow and heat transfer over a porous flat plate. Four different types of nanoparticles including metal nanoparticles(Cu), metal oxide nanoparticles(Al_2O_3) and carbon-based nanomaterials(MWCNTs and SWCNTs) which were dispersed in the water(as based fluid) are studied. The governing equations are converted into the ordinary differential equations using similarity solution and solved numerically by the RKF45 algorithm. The results of the simulations showed a contradiction with the results of other researchers who expressed that using nanoparticles with higher thermal conductivity and volume fraction led to increasing heat transfer rate in nanofluids; this study proves that, in some cases, boosting the volume fraction of nanoparticles has a potential to decrease the heat transfer rate due to significant changes in values of some parameters including radiation, heat generation, and viscous dissipation.
Presence of different terms with various values can alter the thermal behavior of the nanofluids flow over porous surfaces. The aim of this research is to study the influence of nanoparticles volume fraction, nanoparticles type,suction or injection, the heat generation or absorption, the Eckert number, thermal and velocity slip parameters, and radiation on the velocity and temperature fields on the flow and heat transfer over a porous flat plate. Four different types of nanoparticles including metal nanoparticles(Cu), metal oxide nanoparticles(Al_2O_3) and carbon-based nanomaterials(MWCNTs and SWCNTs) which were dispersed in the water(as based fluid) are studied. The governing equations are converted into the ordinary differential equations using similarity solution and solved numerically by the RKF45 algorithm. The results of the simulations showed a contradiction with the results of other researchers who expressed that using nanoparticles with higher thermal conductivity and volume fraction led to increasing heat transfer rate in nanofluids; this study proves that, in some cases, boosting the volume fraction of nanoparticles has a potential to decrease the heat transfer rate due to significant changes in values of some parameters including radiation, heat generation, and viscous dissipation.
引文
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[9]EEGUNJOBI A S,MAKINDE O D,JANGILI S.Unsteady MHD chemically reacting and radiating mixed convection slip flow past a stretching surface in a porous medium[J].In Defect and Diffusion Forum,2017,377:200-210.
[10]MUHAMMAD A,MAKINDE O D.Thermodynamics analysis of unsteady MHD mixed convection with slip and thermal radiation over a permeable surface[J].In Defect and Diffusion Forum,2017,374:29-46.
[11]HEYDARI A,AKBARI O A,SAFAEI M R,DERAKHSHANI M,ALRASHED A A,MASHAYEKHI R,SHABANI G A,ZARRINGHALAM M,NGUYEN T K.The effect of attack angle of triangular ribs on heat transfer of nanofluids in a microchannel[J].Journal of Thermal Analysis and Calorimetry,2018,131(3):2893-2912.
[12]MAGHSOUDI P,SIAVASHI M.Application of nanofluid and optimization of pore size arrangement of heterogeneous porous media to enhance mixed convection inside a two-sided lid-driven cavity[J].Journal of Thermal Analysis and Calorimetry,2018,135(2):947-961.
[13]MALEKI H,SAFAEI M R,ALRASHED A A,KASAEIANA.Flow and heat transfer in non-Newtonian nanofluids over porous surfaces[J].Journal of Thermal Analysis and Calorimetry,2019,135(3):1655-1666.
[14]KHAMLICHE T,KHAMLICH S,DOYLE T B,MAKINDEO D,MAAZA M.Thermal conductivity enhancement of nano-silver particles dispersed ethylene glycol based nanofluids[J].Materials Research Express,2018,5(3):035020.
[15]SARI M R,KEZZAR M,ADJABI R.Heat transfer of copper/water nanofluid flow through converging-diverging channel[J].Journal of Central South University,2016,23(2):484-496.
[16]MALEKI H,SAFAEI MR,TOGUN H,DAHARI M.Heat transfer and fluid flow of pseudo-plastic nanofluid over a moving permeable plate with viscous dissipation and heat absorption/generation[J].Journal of Thermal Analysis and Calorimetry,2019,135(3):1643-1654.
[17]SAFAEI M R,KARIMIPOUR A,ABDOLLAHI A,NGUYEN T K.The investigation of thermal radiation and free convection heat transfer mechanisms of nanofluid inside a shallow cavity by lattice Boltzmann method[J].Physica A:Statistical Mechanics and Its Applications,2018,509:515-535.
[18]ABBASSI M A,SAFAEI M R,DJEBALI R,GUEDRI K,ZEGHMATI B,ALRASHED A A A.LBM simulation of free convection in a nanofluid filled incinerator containing a hot block[J].International Journal of Mechanical Sciences,2018,144:172-185.
[19]SIAVASHI M,JAMALI M.Optimal selection of annulus radius ratio to enhance heat transfer with minimum entropy generation in developing laminar forced convection of water-Al2O3 nanofluid flow[J].Journal of Central South University,2017,24(8):1850-1865.
[20]ALRASHED A A A,GHARIBDOUSTI M S,GOODARZIM,de OLIVEIRA L R,SAFAEI M R,BANDARRA F E P.Effects on thermophysical properties of carbon based nanofluids:Experimental data,modelling using regression,ANFIS and ANN[J].International Journal of Heat and Mass Transfer,2018,125:920-932.
[21]ARANI A A A,AKBARI O A,SAFAEI M R,MARZBAN A,ALRASHED A A A,AHMADI G R,NGUYEN T K.Heat transfer improvement of water/single-wall carbon nanotubes(SWCNT)nanofluid in a novel design of a truncated double-layered microchannel heat sink[J].International Journal of Heat and Mass Transfer,2017,113:780-795.
[22]ALRASHED A A A A,AKBARI O A,HEYDARI A,TOGHRAIE D,ZARRINGHALAM M,SHABANI G A S,SEIFI A R,GOODARZI M.The numerical modeling of water/FMWCNT nanofluid flow and heat transfer in a backward-facing contracting channel[J].Physica B:Condensed Matter,2018,537:176-183.
[23]SIAVASHI M,GHASEMI K,YOUSOFVAND R,DERAKHSHAN S.Computational analysis of SWCNHnanofluid-based direct absorption solar collector with a metal sheet[J].Solar Energy,2018,170:252-262.
[24]GUPTA M,SINGH V,KUMAR R,SAID Z.A review on thermophysical properties of nanofluids and heat transfer applications[J].Renewable and Sustainable Energy Reviews,2017,74:638-670.
[25]AHMED A,NADEEM S.Biomathematical study of time-dependent flow of a Carreau nanofluid through inclined catheterized arteries with overlapping stenosis[J].Journal of Central South University,2017,24(11):2725-2744.
[26]BAHIRAEI M,JAMSHIDMOFID M,GOODARZI M.Efficacy of a hybrid nanofluid in a new microchannel heat sink equipped with both secondary channels and ribs[J].Journal of Molecular Liquids,2019,273:88-98.
[27]MAHMOODI M,KANDELOUSI S.Kerosene-alumina nanofluid flow and heat transfer for cooling application[J].Journal of Central South University,2016,23(4):983-990.
[28]SIAVASHI M,RASAM H,IZADI A.Similarity solution of air and nanofluid impingement cooling of a cylindrical porous heat sink[J].Journal of Thermal Analysis and Calorimetry,2019,135(2):1399-1415.
[29]BAHMANI M H,SHEIKHZADEH G,ZARRINGHALAMM,AKBARI O A,ALRASHED A A,SHABANI G A,GOODARZI M.Investigation of turbulent heat transfer and nanofluid flow in a double pipe heat exchanger[J].Advanced Powder Technology,2018,29(2):273-282.
[30]KHODABANDEH E,SAFAEI M R,AKBARI S,AKBARIO A,ALRASHED A A A.Application of nanofluid to improve the thermal performance of horizontal spiral coil utilized in solar ponds:Geometric study[J].Renewable Energy,2018,122:1-16.
[31]DAS K,CHAKRABORTY T,KUMAR K P.Slip effects on nanofluid flow over a nonlinear permeable stretching surface with chemical reaction[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2016,230(14):2473-2482.
[32]ZIAEI-RAD M,KASAEIPOOR A,RASHIDI M M,LORENZINI G.A similarity solution for mixed-convection boundary layer nanofluid flow on an inclined permeable surface[J].Journal of Thermal Science and Engineering Applications,2017,9(2):021015.
[33]MOHAMMDIEN S A,RASLAN K,ABDEL-WAHED M S,ABEDEL-AAL E M.KKL-model of MHD CuO-nanofluid flow over a stagnation point stretching sheet with nonlinear thermal radiation and suction/injection[J].Results in Physics,2018,10:194-199.
[34]NANDEPPANAVAR M M,REDDY G R S,SHAKUNTHALA S.Magneto-hydrodynamic Blasius flow and heat transfer from a flat plate in the presence of suspended carbon nanofluids[J].Proceedings of the Institution of Mechanical Engineers,Part N:Journal of Nanomaterials,Nanoengineering and Nanosystems,2018,232(1):31-40.
[35]ETWIRE C J,SEINI I Y,MUSAH R,MAKINDE O D.Combined effects of variable viscosity and thermal conductivity on dissipative flow of oil-based nanofluid over a permeable vertical surface[J].In Diffusion Foundations,2018,16:158-176.
[36]NAYAK M K.MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation[J].International Journal of Mechanical Sciences,2017,124:185-193.
[37]HAYAT T,KHAN M I,FAROOQ M,ALSAEDI A,YASMEEN T.Impact of Marangoni convection in the flow of carbon-water nanofluid with thermal radiation[J].International Journal of Heat and Mass Transfer,2017,106:810-815.
[38]MAKINDE O D.Effects of viscous dissipation and Newtonian heating on boundary-layer flow of nanofluids over a flat plate[J].International Journal of Numerical Methods for Heat&Fluid Flow,2013,23(8):1291-1303.
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