**AUTHORS:**S. O. Salawu

**Download as PDF**

The study examine boundary layer non-Newtonian fluid, laminar, viscous and incompressible heat absorption chemical reactive flow with asymmetry convective cooling in a Darcy-forchheimer porous medium. The electrically conducting fluid flow is driven by thermal buoyancy force and axial pressure gradient along a fixed channel. The convective exchange heat with the surrounding temperature at the walls surface follows Newtons law of cooling. The solutions to the dimensionless nonlinear equations governing the flow are obtained using weighted residual method (WRM). The computational assessment of the analytical results in the boundary layer is carried out and the graphical results for the momentum and energy distributions are obtained. The coefficient of skin friction and Nusselt number are also showed and discussed accordingly for some pertinent parameters entrenched in the flow. From the result shows that a rise in Frank-Kamenetskii parameter needs to be guide because it contribute significantly to the destruction of the system thermo-fluid also there is an increase in the fluid bonding force that makes it to be more viscoelastic as the non-Newtonian parameter increases.

**KEYWORDS:**
Hydromagnetic; Exothermic reaction; Darcy-forchheimer; Heat absorption; Convective cooling

**REFERENCES:**

[1] T. Dutta, Fractal pore structure of sedimentary rocks: Simulation by ballistic deposition, Journal of Geophysical Research: Solid Earth, (2003), pp.108.

[2] M. K. Head, H. S. Wong and N. R., Buenfeld, Characterisation of ’Hadley’ Grains by Confocal Microscopy, Cement &Concrete Research, Vol. 36, No. 8, (2006), pp.1483-1489.

[3] S. Peng, Q. Hu, S. Dultz and M. Zhang, Using X-ray computed tomography in port structure characterization for Berea sandstone: Resolution effect, Journal of Hydrology, (2012), pp.254-261.

[4] S. O. Salawu and M. S. Dada, Radiative heat transfer of variable viscosity and thermal conductivity effects on inclined magnetic field with dissipation in a non- Darcy medium, Journal of the Nigerian Mathematical Society, Vol. 35, (2016), pp.93-106 .

[5] R. A. Kareem and S. O.Salawu, Variable viscosity and thermal conductivity effect of soret and dufour on inclined magnetic field in non-Darcy permeable medium with dissipation, British Journal of Mathematics & Computer Science, Vol. 22, No. 3, (2017), pp.1-12

[6] R. Moreau, Magnetohydrodynamics, Dordrecht: Kluwer Academic Publishers. (1990).

[7] M. G. Reddy and N. Sandee, computational modelling and analysis of heat and mass transfer in MHD flow past the upper part of a paraboloid of revolution”, Eur. Phys. J. Plus, 132: 222, (2017).

[8] O. D. Makinde and T. Chinyoka, Numerical investigation of transient heat transfer to hydromagnetic channel flow with radiative heat and convective cooling, Commun Nonlinear Sci Numer Simulat, Vol. 15, (2010), pp.3919-3930.

[9] M. A. Hossain, Viscous and Joule heating effects on MHD free convection flow with variable plate temperature, Int J Heat Mass Transfer, Vol. 35, (1992), pp.3485.

[10] M. G. Reddy and N. Sandeep, Free convective heat and mass transfer of magnetic bio-convective flow caused by a rotating cone and plate in the presence of nonlinear thermal radiation and cross diffusion, Journal of Computational and Applied Research in Mechanical Engineering, Vol.7, (2017), pp. 1-21.

[11] S. O. Salawu and E. O. Fatunmbi, Dissipative heat transfer of micropolar hydromagnetic variable electric conductivity fluid past inclined plate with Joule heating and non-uniform heat generation, Asian Journal of Physical and Chemical Sciences, Vol. 2, (2017), pp.1-10.

[12] O. D. Makinde and P. Sibanda, Magnetohydrodynamic mixed convective flow and heat and mass transfer past a vertical plate in a porous medium with constant wall suction”, Trans ASME – J Heat Transfer, Vol. 130, (2008), pp.602-610.

[13] M. G. Reddy, Heat and mass transfer on magnetohydrodynamic peristaltic flow in porous media with partial slip, Alexandria Engineering Journal, Vol. 55, (2016), pp. 1225–1234.

[14] V. Ravikumar, M. C. Raju and G. S. S. Raju, Combined effects of heat Absorption and MHD on convective Rivlin-Ericksen flow past a semi- infinite vertical porous plate with variable temperature and suction, Ain Shams Engineering Journal, Vol. 5, (2014), pp.867-875.

[15] S. Asghar, K. Hanif and T. Hayat, Flow of a third grade fluid due to an Accelerated disk, International Journal for Numerical Methods in Fluids, Vol. 63, No. 8, (2010), pp.887-902.

[16] T. Hayat, E. Momoniat and F. M. Mahomed, Peristaltic MHD flow of third grade fluid with an endoscope and variable viscosity”, Journal of Nonlinear Mathematical Physics, Vol. 15, No. 1, (2008), pp.91-104.

[17] O. D. Makinde, Thermal stability of a reactive third grade fluid in a cylindrical pipe: an exploitation of Hermite-Padé approximation technique, Applied Mathematics and Computation, Vol. 189, (2007), pp.690-697.

[18] K. R. Rajagopal, Boundary conditions for fluids of the differential type: Navier–stokes equations and related non-linear problems, Plenum Press, New York, 273, (1995).

[19] O. D. Makinde and T. Chinyoka, Numerical study of unsteady hydromagnetic generalized couette flow of a reactive third-grade fluid with asymmetric convective cooling, Computers and Mathematics with Applications, Vol. 61, (2011), pp.1167-1179.

[20] T. Chinyoka and O. D. Makinde, Analysis of transient Generalized Couette flow of a reactive variable viscosity third-grade liquid with asymmetric convective cooling”, Mathematical and Computer Modelling Vol. 54, (2011), pp.160–174.

[21] S. O. Adesanya, J.A. Falade, S. Jangili, O. Anwar Be´ g, Irreversibility analysis for reactive third-grade fluid flow and heat transfer with convective wall cooling, Alexandria Engineering Journal, Vol. 56, (2017), pp. 153–160.

[22] M. S. Dada, and S. O. Salawu, Analysis of heat and mass transfer of an inclined magnetic field pressure- driven flow past a permeable plate”, Appl. Appl. Math., Vol. 12, No. 1, (2017), pp.189-200.