Heat and mass transfer of two-layer flows of third-grade nano-fluids in a vertical channel

被引：97
|
作者：
Farooq, U. [1 ]
Hayat, T. [3 ,4 ]
Alsaedi, A. [4 ]
Liao, Shijun [1 ,2 ,4 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, State Key Lab Ocean Engn, Shanghai 200240, Peoples R China
[2] Shanghai Jiao Tong Univ, MOE Key Lab Sci Comp, Shanghai 200240, Peoples R China
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷
基金：
中国国家自然科学基金;
关键词：
Two-layer flow; Third grade nano-fluid; Homotopy analysis method; BVPh; 2.0; DEVELOPED MIXED CONVECTION; 3RD GRADE FLUID; TRANSPORT; REVERSAL; PLATE;
D O I：
10.1016/j.amc.2014.05.126
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The heat and mass transfer of two-layer flows of non-Newtonian (third-grade) fluid in a vertical channel is investigated in details, when one layer of water is nano-fluid and the other is clear, with the viscous dissipation. In each layer, the boundary-layer flow is governed by coupled nonlinear ordinary differential equations (ODEs). The systems of coupled nonlinear ODEs are solved analytically by means of a Mathematica package BVPh 2.0 based on the homotopy analysis method (HAM), an analytic approximation method for highly nonlinear problems. The influence of the physical parameters is studied in detailed. It is found that the layer of nano-fluid has many different properties from that of clear fluid. This paper also illustrates the validity and power of the HAM-based Mathematica package BVPh 2.0 for some complicated boundary-layer flows. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：528 / 540
页数：13
相关论文
共 50 条
  • [11] Numerical simulation of convective heat and mass transfer in a two-layer system
    Myznikova, B. I.
    Kazaryan, V. A.
    Tarunin, E. L.
    Wertgeim, I. I.
    NEW TRENDS IN FLUID MECHANICS RESEARCH: PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON FLUID MECHANICS, 2007, : 134 - +
  • [12] Heat and Mass Transfer in Unsteady Third-Grade Fluid with Variable Suction Using Finite Element Method
    Poonia, Minakshi
    Bhargava, R.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2015, 12 (06)
  • [13] Computational modeling of unsteady third-grade fluid flow over a vertical cylinder: A study of heat transfer visualization
    Reddy, G. Janardhana
    Hiremath, Ashwini
    Kumar, Mahesh
    RESULTS IN PHYSICS, 2018, 8 : 671 - 682
  • [14] Analytical Study of Heat and Mass Transfer Enhancement in Free convection Flow with Chemical Reaction and Constant Heat Source in Nano-fluids
    Kumar, R. V. M. S. S. Kiran
    Prasad, P. Durga
    Varma, S. V. K.
    INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) - 2015, 2015, 127 : 978 - 985
  • [15] Optimal solution of nonlinear heat and mass transfer in a two-layer flow with nano-Eyring-Powell fluid
    Khan, Najeeb Alam
    Sultan, Faqiha
    Rubbab, Qammar
    RESULTS IN PHYSICS, 2015, 5 : 199 - 205
  • [16] Semi Analytical Solution of Heat Transfer of Magnetohydrodynamic Third-Grade Fluids Flowing Through Parallel Plates With Viscous Dissipation
    Chaudhuri, Sumanta
    Rathore, Sushil Kumar
    JOURNAL OF THERMAL SCIENCE AND ENGINEERING APPLICATIONS, 2019, 11 (02)
  • [17] Mixed convective heat transfer of immiscible fluids in a vertical channel with boundary conditions of the third kind
    Prathap Kumar J.
    Umavathi J.C.
    Chamkha A.J.
    Ramarao Y.
    Chamkha, Ali J. (achamkha@pmu.edu.sa), 2017, Begell House Inc. (09): : 447 - 465
  • [18] Unsteady free convective heat transfer in third-grade fluid flow from an isothermal vertical plate: A thermodynamic analysis
    Hiremath, Ashwini
    Reddy, G. Janardhana
    Kumar, Mahesh
    Beg, O. Anwar
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2019, 33 (08):
  • [19] Flow and heat transfer analysis of MHD third-grade fluid flow through a vertical microchannel subjected to entropy generation
    Roja, A.
    Gireesha, B. J.
    HEAT TRANSFER, 2023, 52 (01) : 1029 - 1047
  • [20] Combined heat and mass transfer of third-grade nanofluids over a convectively-heated stretching permeable surface
    Khan, Waqar A.
    Culham, J. Richard
    Makinde, O. Daniel
    CANADIAN JOURNAL OF CHEMICAL ENGINEERING, 2015, 93 (10): : 1880 - 1888
12345