ON THE POISEUILLE FLOW OF A THIRD GRADE FLUID IN AN HORIZONTAL CHANNEL

Authors

  • O. B. AYENI DEPARTMENT OF MATHEMATICS, TAI SOLARIN UNIVERSITY OF EDUCATION, IJAGUN, OGUN STATE,
  • F. O. AKINPELU DEPARTMENT OF PURE AND APPLIED MATHEMATICS, LADOKE AKINTOLA UNIVERSITY OF TECHNOLOGY, OGBOMOSO, OYO STATE,

Abstract

The work presents an analysis of the Poiseuille flow of a third Grade fluid in a horizontal channel. The dimensionless variable were used to dimensionalize the governing equations of the flow using suitable variables. A semi-analytical
method in form of perturbation method was use to obtain a solution of velocity distribution and temperature profile. The graphical results were used to study the non-Newtonian, Electrokinetic separation distance based on plate height, specific internal energy parameter of the model.

References

Truesdell, C., & Noll, W. (2004). The non-linear field theories of mechanics. In the non-linear field theories of mechanics. Springer Berlin Heidelberg [2] Rajagopal, K. R. (1980). Stability of third-grade fluids. ARCHIVES MECH., 32(6), 867-875

Fosdick, R. L., & Rajagopal, K. R. (1980, January). Thermodynamics and stability of fluids of third grade. In Proceedings of Royal Society of London A: Mathematical, Ohysical and Engineering Sciences (Vol.369, No. 1738, 351-377). The Royal Society.

El-Shehawey, E. F., Elbarbary, E. M., Afifi, N. A. S., and Elshahed, M. (2000). MHD flow of an elastico-viscous fluid under periodic body acceleration. International Journal of Mathematics and Mathematical Sciences, 23(11), 795-799.

Mebine P (2007), Radiation effect on MHD COuette flow with heat transfer between two parallel plates. Global J. Pure applied Mathematics, 3(2), pp. 191-202

Singh AK(2006). Transient Natural convection between two vertical walls heated/ cooled asymmetrically. Int. J. of Applied Mech. and Eng., Vol. 11, No.1, pp. 143-154.

Chaudhary RC and Jain P (2007), An exact solution to the unsteady free convection boundary-layer flow past an implusivelystarted vertical surface with Newtonian heating. J. Eng. Phy. Thermophysics, Vol. 80, No. 5, pp. 954-960.

Akugul and Parkdemili (2008), Analytical and Numerical solutions of electroosmotically driven flow of third grade fluid between micro-parallel plates. [9] P. K. Sharma, S. Khan, MHD flow in porous medium induced by torsionally oscillating disk, Comput. Fluids 39(2010) 1255-1260.

A. Ahmad, S. Asghar, Flow of a second grade fluid over a sheet stretching with arbitrary velocities subject to a transverse magnetic field, Appl. Math. Lett 24(2011) 1905-1909.

F. Ali, M. Norzieha, S. Sharidan , I. Khan, T. Hayat, New exact solutions of stokes second problem for an MHD second grade fluid in a porous space, Int. J. Nonlinear Mech. 47 (2012) 521-525.

M. Abdulhameed, i. Khan, A. Khan, S. Shafie, Closed-form for unsteady magnetohydrodynamic flow in a porous medium with wall transpiration, J. Porous Media 16(2013) 795-809.

A. Aziz, T. Aziz, MHD flow of a third grade fluid in a porous half space with plate suction or injection: an analytical approach, Appl. Math. Comput. 218(2012) 10443-10453.

T. Aziz, F. Mahomed, A. Aziz, Group invariant solution for the unsteady MHD flow of a third grade fluid in a porous medium, Int. J. Nonlinear Mech. 47 (2012) 792-798.

T. Hayat, A. Shafiq, M. Nawaz, A. Alsaedi, MHD axisymetric flow of third grade fluid between porous disks with heat transfer, Appl. Math. Mech. 33 (2012) 749-764

Downloads

Published

2019-05-06

How to Cite

AYENI, O. B., & AKINPELU, F. O. (2019). ON THE POISEUILLE FLOW OF A THIRD GRADE FLUID IN AN HORIZONTAL CHANNEL. Journal of the Nigerian Mathematical Society, 38(1), 123–138. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/426

Issue

Section

Articles