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在柱坐标系下研究由拉伸缸引起的Casson纳米流体流动与传热传质现象

许晓勤 陈淑梅

许晓勤, 陈淑梅. 在柱坐标系下研究由拉伸缸引起的Casson纳米流体流动与传热传质现象[J]. 应用数学和力学, 2016, 37(9): 969-980. doi: 10.21656/1000-0887.370091
引用本文: 许晓勤, 陈淑梅. 在柱坐标系下研究由拉伸缸引起的Casson纳米流体流动与传热传质现象[J]. 应用数学和力学, 2016, 37(9): 969-980. doi: 10.21656/1000-0887.370091
XU Xiao-qin, CHEN Shu-mei. Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates[J]. Applied Mathematics and Mechanics, 2016, 37(9): 969-980. doi: 10.21656/1000-0887.370091
Citation: XU Xiao-qin, CHEN Shu-mei. Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates[J]. Applied Mathematics and Mechanics, 2016, 37(9): 969-980. doi: 10.21656/1000-0887.370091

在柱坐标系下研究由拉伸缸引起的Casson纳米流体流动与传热传质现象

doi: 10.21656/1000-0887.370091
基金项目: 2012年度中央财政支持地方高校发展专项资金(闽教财[2012]788号)
详细信息
    作者简介:

    许晓勤(1981—),女,讲师,博士生(通讯作者. E-mail: m140210004@fzu.edu.cn);陈淑梅(1960—),女,教授,博士生导师.

  • 中图分类号: O351.2

Heat and Mass Transfer in the Casson Nanofluid Flow Over a Stretching Cylinder in Cylindrical Coordinates

  • 摘要: 首次利用柱坐标研究速度滑移和对流表面边界条件下,由拉伸缸引起的稳态层流Casson纳米流体流动、传热及传质现象.采用恰当的相似变换将偏微分控制方程转化为高阶非线性耦合常微分方程,并通过打靶法进行数值求解,图示并详细分析了不同物理参数对速度、温度及浓度分布的影响.结果显示,速度受滑移参数的影响较大,温度和浓度分别受Biot数和Lewis数的影响较大;随着Casson参数的增大,速度下降而温度和浓度都增加;温度随着Brown(布朗)运动参数或热泳参数的增加而上升;浓度随着Brown运动参数的增大而减小,随着热泳参数的增大而增大,当热泳参数较大时,浓度出现了“回流”现象.
  • [1] Bég O A, Malleque K A, Islam M N. Modelling of Ostwald-de Waele non-Newtonian flow over a rotating disk in a non-Darcian porous medium[J]. International Journal of Applied Mathematics and Mechanics,2012,8(13): 46-67.
    [2] T·哈亚特, S·A·谢赫扎德, A·阿尔舍德. Casson流体作磁流体动力学流动时的Soret和Dufour效应[J]. 应用数学和力学, 2012,33(10): 1211-1221.(Hayat T, Shehzad S A, Alsaedi A. Soret and Dufour effects in the magnetohydrodynamic(MHD) flow of Casson fluid[J]. Applied Mathematics and Mechanics,2012,33(10): 1211-1221.(in Chinese))
    [3] Bég O A, Makinde O D. Viscoelastic flow and species transfer in a Darcian high-perme-ability channel[J]. Journal of Petroleum Science and Engineering,2011,76(3/4): 93-99.
    [4] Mohiddin S G, Prasad V R, Varma S V K, Bég O A. Numerical study of unsteady free convective heat and mass transfer in a Walters-B viscoelastic flow along a vertical cone[J]. International Journal of Applied Mathematics and Mechanics,2010,6(15): 88-114.
    [5] Prasad V R, Vasu B, Bég O A, Parshad R D. Unsteady free convection heat and mass transfer in a Walters-B viscoelastic flow past a semi-infinite vertical plate: a numerical study[J]. Thermal Sciences, 2011,15(2): 291-305.
    [6] Bég O A, Takhar H S, Bharagava R, Rawat S, Prasad V R. Numerical study of heat transfer of a third grade viscoelastic fluid in non-Darcian porous media with thermophysical effects[J]. Physica Scripta, 2008,77(6): 065402.
    [7] Rashidi M M, Rastegari M T, Asadi M, Bég O A. A study of non-Newtonian flow and heat transfer over a non-isothermal wedge using the homotopy analysis method[J]. Chemical Engineering Communications, 2012,199(2): 231-256.
    [8] Huilgol R R, You Z. Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids[J]. Journal of Non-Newtonian Fluid Mechanics,2005,128(2/3): 126-143.
    [9] Bird R B, Dai G C, Yarusso B J. The rheology and flow of viscoplastic materials[J]. Reviews in Chemical Engineering,1983,1(1): 36-69.
    [10] Nagarani P, Sarojamma G, Jayaraman G. Effect of boundary absorption on dispersion in Casson fluid flow in an annulus: application to catheterized artery[J]. Acta Mechanica,2009,202(1/4): 47-63.
    [11] Mustafa M, Hayat T, Loan P, Hendi A. Stagnation-point flow and heat transfer of a Casson fluid towards a stretching sheet[J]. Zeitschrift für Naturforschung A, 2012,67(1/2): 70-76.
    [12] Choi S U S, Eastman J A. Enhancing thermal conductivity of fluids with nanoparticles[J].Materials Science,1995,231: 99-105.
    [13] Malvandi A, Ganji D D. Effects of nanoparticle migration on force convection of alumina/water nanofluid in a cooled parallel-plate channel[J]. Advanced Powder Technology,2014,25(4): 1369-1375.
    [14] Makinde O D, Khan W A, Khan Z H. Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet [J].International Journal of Heat and Mass Transfer,2013,62(1): 526-533.
    [15] Hatami M, Ganji D D. Heat transfer and flow analysis for SA-TiO2 non-Newtonian nanofluid passing through the porous media between two coaxial cylinders[J]. Journal of Molecular Liquids,2013,188: 155-161.
    [16] Crane L J. Flow past a stretching plate[J]. Zeitschrift für angewandte Mathematik und Physik Zamp,1970,21(4): 645-647.
    [17] Bachok N, Ishak A, Pop I. Boundary-layer flow of nanofluids over a moving surface in a flowing fluid[J]. International Journal of Thermal Sciences,2010,49 (9) : 1663-1668.
    [18] Rashidi M M, Freidoonimehr N, Hosseini A, Bég O A, Hung T K. Homotopy simulation of nanofluid dynamics from a non-linearly stretching isothermal permeable sheet with transpiration[J]. European Journal of Nuclear Medicine,2014,26(4): 410-415.
    [19] Wang C Y. Fluid flow due to a stretching cylinder[J]. Physics of Fluids,1988,31(3): 466-468.
    [20] Ishak A, Nazar R, Pop I. Uniform suction/blowing effect on flow and heat transfer due to a stretching cylinder[J]. Applied Mathematical Modelling,2008,32(10): 2059-2066.
    [21] Ishak A, Nazar R, Pop I. Magnetohydrodynamic(MHD) flow and heat transfer due to a stretching cylinder[J]. Energy Conversion and Management,2008,49(11): 3265-3269.
    [22] Abbas Z, Majeed A, Javed T. Thermal radiation effects on MHD flow over a stretching cylinder in a porous medium[J]. Heat Transfer Research,2013,44(8): 703-718.
    [23] Hayat T, Asad S, Alsaedi A. Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation[J]. Applied Mathematics and Mechanics(English Edition),2014,35(6): 717-728.
    [24] Bachok N, Ishak A. Flow and heat transfer over a stretching cylinder with prescribed surface heat flux[J]. Malaysian Journal of Mathematical Sciences,2010,4(2): 159-169.
    [25] Mahdy A. Heattransfer and flow of a Casson fluid due to a stretching cylinder with the Soret and Dufour effects[J]. Journal of Engineering Physics and Thermophysics,2015,88(4): 1-9.
    [26] Rao A S, Prasad V R, Reddy N B, Bég O A. Heat transfer in a Casson rheological fluid from a semi-infinite vertical plate with partial slip[J]. Heat Transfer—Asian Research,2013,44(3): 272-291.
    [27] Abolbashari M H, Freidoonimehr N, Nazari F, Rashidi M M. Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface[J]. Advanced Powder Technology, 2015,26(2): 542-552.
    [28] Sparrow E M, Lin S H. Laminar heat transfer in tubes under slip-flow conditions[J].Journal of Heat Transfer,1962,84(4): 363-639.
    [29] Inman R M. Heat transfer for laminar slip flow of a rarefied gas in a parallel plate channel or acircular tube with uniform wall temperature[J]. Solar Energy,1965,9(3): 109-168.
    [30] Mukhopadhyay S, Golra R S R. Slip effects on boundary layer flow and heat transfer along a stretching cylinder[J]. International Journal of Applied Mechanics and Engineering,2013,18(2): 447-459.
    [31] Mukhopadhyay S. MHD boundary layer slip flow along a stretching cylinder[J]. Ain Shams Engineering Journal,2013,4(2): 317-324.
    [32] Mukhopadhyay S. Chemically reactive solute transfer in a boundary layer slip flow along a stretching cylinder[J]. Frontiers of Chemical Science and Engineering,2011,5(3): 385-391.
    [33] Hayat T, Qayyum A, Alsaedi A. Effects of heat and mass transfer in flow along a vertical stretching cylinder with slip conditions[J]. The European Physical Journal Plus,2014,129(4): 524-531.
    [34] Majeed A, Javed T, Ghaffari A, Rashidi M M. Analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux: a Chebyshev spectral Newton iterative scheme[J]. Alexandria Engineering Journal,2016,54(4): 1029-1036.
    [35] Megahed A M. Effect of slip velocity on Casson thin film ow and heat transfer due to unsteady stretching sheet in presence of variable heat flux and viscous dissipation[J]. Applied Mathematics and Mechanics(English Edition),2015,36(10): 1273-1284.
    [36] Prasad V R, Rao A S, Reddy N B, Vasu B, Bég O A. Modelling laminar transport phenomena in a Casson rheological fluid from a horizontal circular cylinder with partial slip[J]. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering,2012,227(4): 309-326.
    [37] Makinde O D, Aziz A. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition[J]. International Journal of Thermal Sciences,2011,50(7): 1326-1332.
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出版历程
  • 收稿日期:  2016-03-29
  • 修回日期:  2016-05-31
  • 刊出日期:  2016-09-15

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