EFFECT of HEAT TRANSFER on PERISTALTIC FLOW in PRESENCE of HEAT GENERATION against HIGHER VALUE of REYNOLDS NUMBER USING FEM

被引：0
作者：
Javed T. [1 ]
Hamid A.H. [2 ]
Ahmed B. [3 ]
Ali N. [1 ]
机构：
[1] Department of Mathematics and Statistics, International Islamic University, Islamabad
[2] Department of Mathematics, Division of Science and Technology, University of Education, Lahore
[3] Department of Mathematics and Statistics, University of Lahore
来源：
Journal of Theoretical and Applied Mechanics (Poland) | 2021年 / 59卷 / 02期
关键词：
Finite element method; Heat transfer; Peristaltic flow;
D O I：
10.15632/JTAM-PL/134264
中图分类号：
学科分类号：
摘要：
In the present investigation, heat transfer analysis of peristaltic flow in the presence of heat generation against high values of the Reynolds number using a numerical technique is pre-sented. The Finite Element Method with the assistance of Galerkin's variational method has been used on the governing Navier-Stokes equation in the stream-vorticity form. The graphs of computed longitudinal velocity, temperature distribution and pressure rise per wavelength are plotted against different values of an emerging parameter using a stream function and vorticity. The presented results are valid beyond the restrictions of long wavelength and low Reynolds number limits. Moreover, large values of the Reynolds number increases pressure rise per wavelength. © 2021 Polish Society of Theoretical and Allied Mechanics. All rights reserved.
引用
收藏
页码：279 / 292
页数：13
相关论文
共 23 条
  • [1] Abo-Eldahab E., Barakat E., Nowar Kh, Hall currents and heat transfer effects on peristaltic transport in a vertical asymmetric channel through a porous medium, Mathematical Problems in Engineering, pp. 1-23, (2012)
  • [2] Ali N., Hussain Q., Hayat T., Asghar S., Slip effects on the peristaltic transport of MHD fluid with variable viscosity, Physics Letters A, 372, pp. 1477-1489, (2008)
  • [3] Eldabe N.T.M., El-Sayed M.F., Ghaly A.Y., Sayed H.M., Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Archive of Applied Mechanics, 78, pp. 599-624, (2008)
  • [4] El-Sayed M.F., Eldabe N.T.M., Ghaly A.Y., Sayed H.M., Effects of chemical reaction, heat and mass transfer on non-Newtonian fluid flow through porous medium in a vertical peristaltic tube, Transport in Porous Media, 89, pp. 185-212, (2011)
  • [5] Fung Y.C., Yih C.S., Peristaltic transport, Transactions of the ASME, Journal of Applied Mechanics, 35, (1968)
  • [6] Hayat T., Hina S., Ali N., Simultaneous effects of slip and heat transfer on the peristaltic flow, Communications in Nonlinear Science and Numerical Simulation, 15, pp. 1526-1537, (2010)
  • [7] Hayat T., Hussain Q., Ali N., Influence of partial slip on the peristaltic flow in a porous medium, Physica A: Statistical Mechanics and its Applications, 387, pp. 3399-3409, (2008)
  • [8] Hayat T., Mahomed F.M., Asghar S., Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid, Non-Linear Dynamics, 40, pp. 375-385, (2005)
  • [9] Jaffrin M.Y., Inertia and streamline curvature effects on peristalsis, International Journal of Engineering Science, 11, pp. 681-699, (1973)
  • [10] Kothandapani M., Srinivas S., On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium, Physics Letters A, 372, pp. 4586-4591, (2008)
123