INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 8 NO. 3 2022
DOI: https://doi.org/10.56201/ijasmt.v8.no3.2022.pg107.124


Impact of Transpiration Cooling on Oscillatory MHD Convection of Ag-Water Nanofluid through an Inclined Permeable Channel

Amadi, Okechukwu(PhD)


Abstract


The impact of transpiration cooling on oscillatory MHD convection of Ag-Water nanofluid is examined over an inclined porous channel. Coupled partial differential equations were obtained for the momentum and temperature in view of the problem. These equations were analyt ically solved. The equations were converted to ordinary differential equations through a one term perturbation technique. The exact solutions for the ordinary differential equations were obtained and plotted to ascertain the effects of parameters variations on the velocity and temperature profiles. The effects of parameters variations were noted from the plots. It noted that increasing the magnetic field parameter and solutalGrashof number reduces and increases the velocity of the nanofluid respectively. Increase in the thermal radiation reduces the temperature while increase in the Pecletnuber correspondingly increases the temperature of the nanofluid.


keywords:

Natural Convection, Porosity, Magnetohydrodynamics, Nanofluid


References:


Aaiza, G.; Khan, I & Shafie, S.(2015). Energy transfer in mixed convection MHD flow of
nanofluid containing different shapes of nanoparticles in a channel filled with saturated
porous medium. Nanoscale research letters,2(2015), 1-16.

Achogo W. H. & Adikabu I. N.(2020). Mutual influences of heat and mass transfer on
mhd flow through a channel with periodic wall concentration and temperature.
International journal of research and innovation in applied science,5(6):2454-6194.

Achogo W. H., Okereke I. C. Ofomata A. I. & Amadi O. F.(2020) .Magnetohydrodynamic
convective periodic flow through a porous medium in an inclined channel with thermal
radiation and chemical reaction. International Journal of Innovative Science and
Research Technology,5(1):1129-1139

Achogo W. H., Okereke I. C. Ofomata A. I. & Eleonu B. C.(2020) .Effect of heat source on
Magnetohydrodynamic free convection through a channel with a wall having periodic
temperature. International Journal of Innovative Science and Research
Technology,5(4):1035-1040.

Ahmed, N. & Sarmah, H. K. (2009).Thermal radiation effect on a transient MHD flow with mass
transfer past an impulsively fixed infinite vertical plate.Internatiional Journal of Applied
Mathematics and Mechanics, 5(5) 87-98.

Alabraba, M. A.;Bestman, A. R. & Ogulu, A. (1992). Free convection interaction with thermal
radiatin in a hydromangetic boundary layer taking into account the binary chemical
reaction and the less attended Soret and Dufour effects.Astrophysics Space
Science,195(1992), 431-445.

Alagoa, K. D.; Tay, G. & Abbey, T. M. (1998). Radiative and free convective effects of a MHD
flow through a porous medium between infinite parallel plates with time – dependent
suction. Astrophysics and Space Science, 260(1998),455-468.

Anghel M., Hossain M. A. &Zeb S. (2001).Combined heat and mass transfer by free convection
past an inclined flat plate.International Journal Applied Mechanics and
Engineering,2(2001), 473-497.

Attia H. A. & Kotb N. A. (1996). MHD flow between two with heat transfer parallel plates.
ActaMechanica, 117(1996), 215-220.

Bestman, A. R. (2005). Free convection heat transfer to steady radiating non – Newtonian MHD
flow past a vertical porous plate. International Journal Numerical Methods in
engineering, 21(2005) 899 – 908.

Bhuvaneswari M. & Sivasankaran S., Kim Y. J. (2010). Exact analysis of radiation convective
flow heat and mass transfer over an inclined plate in a porous medium.”,World Applied
Journal, 10(2010),774-778

Cess, R. D. (1966). The interaction of thermal radiation with free convection heat transfer..Int. J.
Heat and Mass Transfer,9(1996),1269-1277.

Chen C.H,(2004). Heat and mass transfer in MHD flow with variable wall temperature and
concentration, ActaMechanica, 172 (2004),219-235.

Choi SUS (1995). Enhancing thermal conductivity of fluids with nanoparticle, in: D.A. Siginer,
H.P. Wang (Eds.), Developments and Applications of Non- Newtonian Flows. ASME
FED, 66(1995),99–105.

Constantin F.; Dumitru V. & Waqas A. A.(2017). Natural convection flow of fractional
nanofluids over an isothermal vertical plate with thermal radiation.Applied
Sciences,7(247),1-13. DOI:10.3390/app7030247

Eckert, E. R. G. & Drake R. M. (1958).Heat and Mass Transfer.McGrawHill Book Co., New
York.

Ganesan P & Palani G. (2003). Natural convection effects on impulsively started inclined plate
with heat and mass transfer. Heat and Mass Transfer, 39(2003), 277-283.

Gersten K. and J.F. Gross J. F. (1974). Flow and heat tra nsfer along a plane wall with periodic
suction. Mathematical Physics,25(1974), 399-408.

Ghosh, S. K.; Rawat, S.; Beg, O. A. & Beg, T. A. (2010). Thermal radiation effects on unsteady
hydromagnetics gas flow along an inclined plane with indirect natural convection.
International Journal of Applied Mathematics and Mechanics, 6(2010), 41 – 57.

Hamilton R. L. & Cross O. K.(1962). Thermal conductivity of heterogeneous two-component
systems.Journal of industrial & engineering chemistry fundamentals,1(1962),187-191.

Hossain M. A., I. Pop I. & Ahmad M. (1996). MHD free convection flow from an isothermal
plate. International Theoretical & Applied Mechanics,1(1996), 194-207.

Israel-Cookey, C.; Amos, E. & Nwaigwe, C. (2010).MHD oscillatory Couette flow of a radiating
viscous fluid in a porous medium with periodic wall temperature. Journal of Science
Industrial Research,1(2) 326 – 331.

Jain N. C. & Bansal J. L., (1973).Couette flow with transpiration cooling when the viscosity of
the fluid depends on temperature.Proceeding Indian Academic Science,77(1973), 184-200.

Khan, S. M.; Karim, I; Ali, E. L. & Islam, A.(2012). Unsteady MHD free convection boundary –
layer flow of a nanofluid along a stretching sheet with thermal radiation and viscous
dissipation effects. International nano letters, 2(2012), 1-9.

Latiff, N. A.; Uddin, M. J. & Ismail, A. I.(2016). Stefan blowing effect on bioconvective flow of
nanofluid over a solid rotating stretchable disk. Propulsion and power research, 5(4), 267-278.

Malvandi, A.; Ganji, D. D.; Hedayati, F & Rad, Y. E.(2013). An analytical study on entropy
generation of nanofluids over a flat plate.Alexandria engineering journal, 52 (2013), 595-604.

Mohammed R. A.(2009). Double –Diffusioin convection-radiation interaction on Unsteady
MHD flow over a vertical moving porous plate with heat generation and soret effects.
Applied Mathematical Sciences, 3(13),629-651.

Murugesan, T. & Kumar, D. M.(2019). Viscous dissipation and joule heating effects on MHD
flow of a thermo-solutal stratified nanofluid over an exponentially stretching sheet with
radiation and heat generation/absorption. World schientific news, 129(2019),193-210.

Naik, M. T. & Sundar, L. S. (2011). Investigation into thermophysical properties of glycol based
CuO nanofluid for heat transfer applications. World AcadScience Engineer Technology,
59(2011),,440–446.

Said S.A.M., Habib M.A., Badr H.M. & Anwar S. (2005).Turbulent natural convection between
inclined isothermal plates, Computers and Fluid, 34(9) 1025-1039.

Sharma R. & Isahk, A.(2014). Second order slip flow of Cu-Water nanofluid over a stretching
sheet with heat transfer. WSEAS transactions on fluid mechanics, 9(2014), 26-33.

Singh K. D. & Mathew A. (2008). Injection/suction effects on an oscillatory hydromagnetic flow
in a rotating horizontal porous channel. Indian Journal Physics,82(4), 435-445

Swapna Y., M. C. Raju & Ram Prakash Sharma (2017). Mass transfer effects on MHD mixed
convective periodic flow through porous medium in an inclined channel with
transpiration cooling and thermal radiation. Jnananbha,47(1), 195 – 206.

Vajjha, R.S. & Das, D.K .(2009). Experimental determination of thermal conductivity of three
nanofluids and development of new correlations.International journal of heat and mass
transfer, 52(2009), 4675-4682.


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