Heat Generating Couple Stress Fluid Flow Through a Channel Filled with a Porous Medium

Heat Generating Couple Stress Fluid Flow Through a Channel Filled with a Porous Medium

Adesanya S.O. Srinivasacharya D. 

Department of Mathematical Sciences, Redeemer's University, Redemption City, Nigeria

Department of Mathematics, National Institute of Technology, Warangal - 506 004, A.P, India

Page: 
97-101
|
DOI: 
https://doi.org/10.18280/ijht.310112
Received: 
N/A
| |
Accepted: 
N/A
| | Citation

OPEN ACCESS

Abstract: 

In this investigation, the steady incompressible couple stress fluid flow through isothermal channel saturated with a porous medium is investigated. The heat generating fluid is assumed to be under a magnetic field of constant strength applied transversely to the channel. Approximate solutions to nonlinear ordinary differential equations governing the problem under consideration are obtained by using Adomian decomposition method. The effects of the Couple stress parameter, Darcy parameter, heat generation parameter, Brinkman number and Hartmann's number on the fluid velocity and temperature profiles are presented graphically and discussed. Couple stresses, heat generation, Brinkman model, magnetic field.

  References

[1] El-Amin, M.F. Combined effect of internal heat generation and magnetic field on free convection and mass transfer flow in a micropolar fluid with constant suction (2004) Journal of Magnetism and Magnetic Materials, 270 (1-2), pp. 130-135. doi: 10.1016/j.jmmm.2003.08.011

[2] Perekattu, G.K., Balaji, C. On the onset of natural convection in differentially heated shallow fluid layers with internal heat generation (2009) International Journal of Heat and Mass Transfer, 52 (19-20), pp. 4254-4263. doi: 10.1016/j.ijheatmasstransfer.2009.04.006

[3] Chen, C.-H. Magneto-hydrodynamic mixed convection of a power-law fluid past a stretching surface in the presence of thermal radiation and internal heat generation/absorption (2009) International Journal of Non-Linear Mechanics, 44 (6), pp. 596-603. doi: 10.1016/j.ijnonlinmec.2009.02.004

[4] Chen, C.-H. On the analytic solution of MHD flow and heat transfer for two types of viscoelastic fluid over a stretching sheet with energy dissipation, internal heat source and thermal radiation (2010) International Journal of Heat and Mass Transfer, 53 (19-20), pp. 4264-4273. doi: 10.1016/j.ijheatmasstransfer.2010.05.053

[5] Patil, P.M., Kulkarni, P.S. Effects of chemical reaction on free convective flow of a polar fluid through a porous medium in the presence of internal heat generation (2008) International Journal of Thermal Sciences, 47 (8), pp. 1043-1054. doi: 10.1016/j.ijthermalsci.2007.07.013

[6] Bagai, S., Nishad, C. Free convection in a non-Newtonian fluid along a horizontal plate embedded in porous media with internal heat generation (2012) International Communications in Heat and Mass Transfer, 39 (4), pp. 537-540. doi: 10.1016/j.icheatmasstransfer.2012.02.003

[7] Cortell, R. Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing (2005) Fluid Dynamics Research, 37 (4), pp. 231-245. doi: 10.1016/j.fluiddyn.2005.05.001

[8] Siddiqa, S., Asghar, S., Hossain, M.A. Natural convection flow over an inclined flat plate with internal heat generation and variable viscosity (2010) Mathematical and Computer Modelling, 52 (9-10), pp. 1739-1751. doi: 10.1016/j.mcm.2010.07.001

[9] Jawdat, J.M., Hashim, I.Low Prandtl number chaotic convection in porous media with uniform internal heat generation (2010) International Communications in Heat and Mass Transfer, 37 (6), pp. 629-636. doi: 10.1016/j.icheatmasstransfer.2010.03.011

[10] Barletta, A., Nield, D.A. On the Rayleigh-Bénard-Poiseuille problem with internal heat generation (2012) International Journal of Thermal Sciences, 57, pp. 1-16. doi: 10.1016/j.ijthermalsci.2012.02.014

[11] Chang-Jian, C.W., Yau, H.-T., Chen, J.-L. Nonlinear dynamic analysis of a hybrid squeeze-film damper-mounted rigid rotor lubricated with couple stress fluid and active control (2010) Applied Mathematical Modelling, 34 (9), pp. 2493-2507. doi: 10.1016/j.apm.2009.11.014

[12] Chang-Jian, C.-W., Chen, C.-K. Couple stress fluid improve rub-impact rotor-bearing system - Nonlinear dynamic analysis (2010) Applied Mathematical Modelling, 34 (7), pp. 1763-1778. doi: 10.1016/j.apm.2009.09.021

[13] Srinivasacharya, D., Srikanth, D. Effect of couple stresses on the pulsatile flow through a constricted annulus (2008) Comptes Rendus - Mecanique, 336 (11-12), pp. 820-827. doi: 10.1016/j.crme.2008.09.008

[14] Mekheimer, Kh.S., Abd elmaboud, Y. Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope (2008) Physica A: Statistical Mechanics and its Applications, 387 (11), pp. 2403-2415. doi: 10.1016/j.physa.2007.12.017

[15] Adomian, G. (1988) Solving frontier problem in physics, kluver publisher

[16] Wazwaz, A.-M. The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain (2006) Applied Mathematics and Computation, 177 (2), pp. 737-744. doi: 10.1016/j.amc.2005.09.102

[17] Wazwaz, A.-M. Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants (2006) Applied Mathematics and Computation, 182 (2), pp. 1812-1818. doi: 10.1016/j.amc.2006.06.018

[18] Wazwaz, A.-M. A new algorithm for calculating adomian polynomials for nonlinear operators (2000) Applied Mathematics and Computation, 111 (1), pp. 33-51. 

[19] Wazwaz, A.-M., El-Sayed, S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators (2001) Applied Mathematics and Computation, 122 (3), pp. 393-405. doi: 10.1016/S0096-3003(00)00060-6

[20] Adesanya, S.O., Makinde, O.D. Heat transfer to magnetohydrodynamic non-newtonian couple stress pulsatile flow between two parallel porous plates (2012) Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, 67 (10-11), pp. 647-656. http://www.znaturforsch.com/s67a/s67a0647.pdf doi: 10.5560/ZNA.2012-0073

[21] Srinivasacharya, D., Kaladhar, K. Mixed convection flow of couple stress fluid between parallel vertical plates with Hall and Ion-slip effects (2012) Communications in Nonlinear Science and Numerical Simulation, 17 (6), pp. 2447-2462. doi: 10.1016/j.cnsns.2011.10.006

[22] Makinde, O.D. Thermal ignition in a reactive viscous flow through a channel filled with a porous medium (2006) Journal of Heat Transfer, 128 (6), pp. 601-604. doi: 10.1115/1.2188511

[23] Kim, Y., Lorente, S., Bejan, A. Steam generator structure: Continuous model and constructal design (2011) International Journal of Energy Research, 35 (4), pp. 336-345. doi: 10.1002/er.1694

[24] Lorenzini, G., Garcia, F.L., Dos Santos, E.D., Biserni, C., Rocha, L.A.O. Constructal design applied to the optimization of complex geometries: T-Y-shaped cavities with two additional lateral intrusions cooled by convection (2012) International Journal of Heat and Mass Transfer, 55 (5-6), pp. 1505-1512. doi: 10.1016/j.ijheatmasstransfer.2011.10.057