Radiating Heat-Mass Transport over a Leaning Surface using Group of Scaling Operations

M.Bhuvaneswari; S.Karthikeyan

doi:https://doi.org/10.14445/22315373/IJMTT-V67I4P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P501

Radiating Heat-Mass Transport over a Leaning Surface using Group of Scaling Operations

M.Bhuvaneswari, S.Karthikeyan

Citation :

M.Bhuvaneswari, S.Karthikeyan, "Radiating Heat-Mass Transport over a Leaning Surface using Group of Scaling Operations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 1-7, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P501

Abstract

Impacts of radiation on free-convection heat-mass transfering over a leaning surface is probed using Lie’s group. PDEs that model the liquid motion are reduced to ODEs together with the corresponding conditions on the boundary by symmetries. Approximate solution got by applying IV order R-K algorithm with trajectory shoot method exhibits that both thermal&concentration boundary-layer thicknesses are downsized while rising Gr(thermal) number and Sc number. The opposite phenomena takes place whenever Gr(solutal) number rises. Further, it is witnessed that velocity&temperature rise whereas concentration reduces as radiation intensifies.

Keywords

Free convection, Inclined surface, Lie’s group, Mass transfer.

References

[1] C.H. Chen., Heat and mass transfer in MHD flow by natural convection from a permeable, inclined surface with variable wall temperature and concentration, Acta Mechanica, 172 (2004) 219-235.
[2] F.S. Ibrahim, M.A. Mansour, M.A.A. Hamad., Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi- infinite vertical flat plate, Electronic J. Differential Equations. 39 (2005) 1-17.
[3] V.K. Kalpakides, K.G. Balassas., Symmetry groups and similarity solutions for a free convective boundary-layer problem, Int. J. Non-linear Mech. 39 (2004) 1659- 1670.
[4] M. Yurusoy, M. Pakdemirli., Symmetry reductions of unsteady three-dimensional boundary layers of some non-Newtonian Fluids, Int. J. Engg. Sci. 35(8) (1997) 731-740.
[5] M. Yurusoy, M. Pakdemirli., Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet, Mech. Res. Comm. 26(2) (1999) 171-175.
[6] M. Yurusoy, M. Pakdemirli., Lie group analysis of creeping flow of a second grade fluid, Int. J. Non-linear Mech. 36(2001) 955-960.
[7] S. Karthikeyan, M. Bhuvaneswari, S. Sivasankaran, S. Rajan., Cross diffusion, radiation and chemical reaction effects on MHD combined convective flow towards a stagnation-point upon vertical plate with heat generation, IOP Conference Series Materials Science and Engineering. 390(1) (2018) 012088.
[8] S. Sivasankaran, M. Bhuvaneswari, A.K.Alzahrani., Numerical simulation on convection of non-Newtonian fluid in a porous enclosure with non-uniform heating and thermal radiation, Alexandria Eng. J. 59(5) (2020) 3315-3323.
[9] M. Bhuvaneswari and S. Karthikeyan., Free convective flowing upon a plate embedded in a penetrating environment by symmetry groups, International Journal of Mathematics Trends and Technology, 66(11) (2020) 148-153.