Mixed convection boundary layer flow from a vertical truncated cone in a nanofluid

被引:26
|
作者
Patrulescu, F. O. [1 ]
Grosan, T. [2 ]
Pop, I. [2 ]
机构
[1] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Cluj Napoca, Romania
[2] Univ Babes Bolyai, Dept Math, R-3400 Cluj Napoca, Romania
关键词
Nanofluids; Mixed convection; Boundary layer; Numerical results; Truncated cone; Dual solutions; THERMAL-CONDUCTIVITY ENHANCEMENT; HEAT-TRANSFER AUGMENTATION; NATURAL-CONVECTION; MASS-TRANSFER; TEMPERATURE;
D O I
10.1108/HFF-11-2012-0267
中图分类号
O414.1 [热力学];
学科分类号
摘要
Purpose - The purpose of this paper is to investigate the steady mixed convection boundary layer flow from a vertical frustum of a cone in water-based nanofluids. The problem is formulated to incorporate three kinds of nanoparticles: copper, alumina and titanium oxide. The working fluid is chosen as water with the Prandtl number of 6.2. The mathematical model used for the nanofluid incorporates the particle volume fraction parameter, the effective viscosity and the effective thermal diffusivity. The entire regime of the mixed convection includes the mixed convection parameter, which is positive for the assisting flow (heated surface of the frustum cone) and negative for the opposing flow (cooled surface of the frustum cone), respectively. Design/methodology/approach - The transformed non-linear partial differential equations are solved numerically for some values of the governing parameters. The derivatives with respect to? were discretized using the first order upwind finite differences and the resulting ordinary differential equations with respect to? were solved using bvp4c routine from Matlab. The absolute error tolerance in bvp4c was 1e-9. Findings - The features of the flow and heat transfer characteristics for different values of the governing parameters are analysed and discussed. The effects of the particle volume fraction parameter \phi, the mixed convection parameter \lambda and the dimensionless coordinate? on the flow and heat transfer characteristics are determined only for the Cu nanoparticles. It is found that dual solutions exist for the case of opposing flows. The range of the mixed convection parameter for which the solution exists increases in the presence of the nanofluids. Originality/value - The paper models the mixed convection from a vertical truncated cone using the boundary layer approximation. Multiple (dual) solutions for the flow reversals are obtained and the range of existence of the solutions was found. Particular cases for ? = 0 (full cone), ? >> 1 and (free convection limit) \lambda >> 1were studied. To the authors best knowledge this problem has not been studied before and the results are new and original.
引用
收藏
页码:1175 / 1190
页数:16
相关论文
共 50 条
  • [1] Free Convection Boundary Layer Flow from a Vertical Truncated Cone in a Hybrid Nanofluid
    Mohamed, Muhammad Khairul Anuar
    Ishak, Anuar Mohd
    Pop, Ioan
    Mohammad, Nurul Farahain
    Soid, Siti Khuzaimah
    [J]. MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2022, 18 (02): : 257 - 270
  • [2] GYROTACTIC MICROORGANISMS FREE CONVECTION BOUNDARY LAYER FLOW ABOUT A VERTICAL TRUNCATED CONE IN NANOFLUID POROUS MEDIA
    Mahdy, A.
    Elshehabey, H. M.
    [J]. LATIN AMERICAN APPLIED RESEARCH, 2018, 48 (01) : 57 - 62
  • [3] Axisymmetric mixed convection boundary layer flow past a vertical cylinder in a nanofluid
    Grosan, T.
    Pop, I.
    [J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (15-16) : 3139 - 3145
  • [4] Natural convection boundary layer flow over a truncated cone in a porous medium saturated by a nanofluid
    Cheng, Ching-Yang
    [J]. INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2012, 39 (02) : 231 - 235
  • [5] Magnetohydrodynamics Mixed Convection Flow of a Nanofluid in an Isothermal Vertical Cone
    Sudhagar, Palani
    Kameswaran, Peri K.
    Kumar, B. Rushi
    [J]. JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2017, 139 (03):
  • [6] Marangoni Mixed Convection Boundary Layer Flow in a Nanofluid
    Remeli, Amirah
    Arifin, Norihan Md
    Nazar, Roslinda
    Ismail, Fudziah
    [J]. MALAYSIAN JOURNAL OF FUNDAMENTAL AND APPLIED SCIENCES, 2013, 9 (02): : 81 - 85
  • [7] Mixed convection boundary layer flow from a horizontal circular cylinder in a nanofluid
    Tham, Leony
    Nazar, Roslinda
    Pop, Ioan
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (05) : 576 - 606
  • [8] Effects of injection (suction) on a steady mixed convection boundary layer flow over a vertical cone
    Ravindran, R.
    Roy, Satyajit
    Momoniat, E.
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2009, 19 (3-4) : 432 - 444
  • [9] Mixed Convection Magnetic Nanofluid Flow past a Rotating Vertical Porous Cone
    Wahid, N. S.
    Arifin, N. Md
    Khashi'ie, N. S.
    Pop, I
    Bachok, N.
    Hafidzuddin, M. E. Hafidz
    [J]. JOURNAL OF APPLIED FLUID MECHANICS, 2022, 15 (04) : 1207 - 1220
  • [10] MHD natural convection boundary layer flow of nanofluid over a vertical cone with chemical reaction and suction/injection
    Reddy, P. Sudarsana
    Sreedevi, P.
    Chamkha, Ali J.
    [J]. Computational Thermal Sciences, 2017, 9 (02): : 165 - 182