Finite Element Analysis of Convective Heat Transfer of Micropolar and Viscous Fluids in a Vertical Channel with Variable Width

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-27 Number-2
Year of Publication : 2015
Authors : B.Suresh Babu, G.Srinivas, GVPN Srikanth
  10.14445/22315373/IJMTT-V27P512

MLA

B.Suresh Babu, G.Srinivas, GVPN Srikanth "Finite Element Analysis of Convective Heat Transfer of Micropolar and Viscous Fluids in a Vertical Channel with Variable Width", International Journal of Mathematics Trends and Technology (IJMTT). V27(2):65-70 November 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper we present the novel of two immiscible fluids flow and the effect of heat transfer along a oppositely moving vertical plates. The vertical channel is subjected to the transverse magnetic field and one plate is moving with constant velocity w0 towards the center. The coupled governing equations of the flow and heat transfer with appropriate boundary conditions are solved using Finite Element method. The profiles of velocity, Micro rotation and temperature are studied for various parameters Grashof Number (Gr), magnetic field (H), Reynolds Number(R), Eckert Number (Ec), Material Parameter (K) and represented graphically.

References
[1] A.C.Eringen, “Simple microfluids”, International Journal Of Engineering And Science” Vol 2(2),pp.205-217, 1964.
[2] B Suresh Babu , G Srinivas, B.R.K. Reddy, Finite element analysis of free convection flow with MHD micropolar and viscous fluids in a vertical channel with dissipative effects, Journal of Naval Architecture and Marine Engineering , Vol 8, No 1,2011
[3] J.Lohsasbi, V.Sahai, “Magneto hydro dynamic heat transfer in two phase flow between parallel plates”, Journal of Applied Sciences and research ,Vol 45, pp.53-66.1988.
[4] J.N.Reddy, “An Introduction to the Finite Element Method” Third edition, McGraw-Hill, New York,2005.
[5] M.S.Malashetty, J.C.Umavathi, J.Prathap Kumar, “Two fluid Magneto Convection Flow in an inclined Channel”, International Journal of Transport Phenomena, Vol3,pp.73- 84,1997.
[6] M.S.Malashetty, J.C.Umavathi, J.PrathapKumar, “Convective Magneto hydro dynamic two fluid flow and heat transfer in an inclined Channel”, Heat Mass transfer, Vol 37, pp.259- 264,2000.
[7] M.S.Malashetty, V.Leela, “Magneto hydro dynamic heat transfer in two- phase flow”, International Journal of Engineering science, Vol 30, pp.371-377.
[8] R.Bhargava and M.Rani, “Numerical solution of heat transfer of Micropolar fluid flow in a channel with porous walls”, International Journal Of Engineering And Science, Vol 23, pp.409-513. 1985.
[9] Stamenkovic m zivojin , Dragisa D.Nikodijevic, Bratislav D.Blagojevic, “MHD Flow and Heat transfer of two immiscible fluids between moving plates, Transactions of Canadian Society for Mechanical Engineering,vol 3-4,2010.
[10] T.Ariman. M.A.Turk. N.D.Sylvester, “Micro continuum fluid Mechanics, A review”, International Journal Of Engineering Science, Vol 11,pp.905-930, 1973.
[11] V.U.K.Sastry and V.R.M.Rao, “Numerical solution of Micropolar fluid in a channel with porous wall” International Journal of Engineering and Science, Vol20, pp.631-642, 1982.

Keywords
Micropolar fluid, Viscous Fluid, Vertical Channel, Moving plates, Viscous Dissipation, MHD, FEM, Magnetic field.